Posted on Leave a comment

Blackjack in Deadwood, South Dakota

Report on Deadwood Casinos and Blackjack Opportunities

by the Bison
(From Blackjack Forum XXIV #2, Spring 2005)
© Blackjack Forum 2005

Ah, yes, winter in the Black Hills, 10 below one day, 65 above the next. With summer being the main tourist season, winter weekdays are usually quiet in all casinos, with many not opening their blackjack tables until 3 or 4 pm. A couple of smaller casinos just have blackjack tables open on the weekends. If you want to play heads up, come during the day before 2:00 or 3:00 just about anywhere.

Most blackjack games in Deadwood, South Dakota are 6 decks, with a few sprinkles of others to be found. State law caps bets at $100, but most places will let you play as many spots as you want if you’re playing green or black. This is, however, mostly low rollerville, so card counters betting green and black will draw a little attention. Just look like a happy gambler and you can usually spread to your heart’s content.

The downside is that the smaller joints only book $50 max bets. The surveillance departments do not share information on card counters, according to a source. I would be surprised if a number of them actually have a surveillance department. The smaller ones are probably just taping everything in case they need it someday.

This area isn’t really looking for card counters. I think on a quick up and down visit of main street a player with a spotter could pull off several hands of black at the right count, then mosey on to the next one. Interested? Here is a rundown of the games that are worthwhile.

Blackjack Rules, Limits, Penetration, and Hours in Deadwood

Silverado, tables open 24/7, S17, 4.5/6 pen, DAS, Lucky Ladies, $100 max.

Tin Lizzie, 5/6 pen, S17, double action spots, only $50 max. Big spreads no trouble for a couple of shoes, then wander off.

Hickocks and Mineral Palace are 3/4 pen, H17, DAS, 50/100 max respectively.

Celebrity just opened a table, but it’s only open Friday through Sunday. The 4-deck pen is 75%, with S17, DAS, 100 max, with no mid shoe entry. However, I haven’t played this one yet to see if they enforce it.

Gold Dust has 5/6 pen, DAS, H17, and resplit aces on the shoe game.

Double Deck is H17, NoDAS, Double any 2. Penetration varies wildly.

Last but not least in Deadwood blackjack is First Gold Casino, home of the terrible double deck game with fantastic penetration. This double deck blackjack game has Reno rules, but is almost always dealt down to a few cards. No shuffle card. The casino just opened a single deck game with a $100 max.

That’s it for winter in South Dakota! ♠

Posted on Leave a comment

Blackjack in Reno – It’s Different

Reno Heat: Advice from a Professional Blackjack Player

by Syph
(From Blackjack Forum Online, August 2006)
© 2006 Blackjack Forum Online

I spent about six months or so card counting at the blackjack games in Reno, surviving solely off silver and green play.

Here are some thoughts and impressions. I emphasize that these are only my experiences, so feel free to reject them.

You might well know better.

You will get backed off, barred, and chased out.

I know everyone says you won’t get hassled at these stakes, but you will. Prepare for it. And the smaller the joint, the less gracious the reading of the riot act.

I was chased out of the Cal-Neva by half a dozen security guards. Twice. I believe my top bet was $14 the first time, $19 the second.

I was barred from the Sienna for spreading $5-$20. Looking back, the quickest I was ever backed off was spreading 1-4, with progressive betting in positive counts after wins. You know, count rises, you win, you double up the bet. For some reason, it would get me backed off within about 20 minutes every time I attempted this “cover” strategy.

It’s garbage, don’t use it. And I don’t care how long Don says he’s been backcounting shoes.

Now, on the other hand, I spent the entire week in Wendover playing strictly by the count, sometimes jumping from $5 to $100 and back to $5 in the same deck. I was not backed off once, and there was an amusing exchange between the dealer and the pit boss regarding my betting:

Dealer: “You’ve got to have the most erratic betting I’ve ever witnessed.”

Pit Boss: “It’s Canadian betting. Very effective.”

Then they comped me a room.

You know, most counters are so deathly concerned about trying to hide their spread that they all sorta end up looking like each other in the process. I found the more I spread, the less likely I was to be backed off. I think Arnold has mentioned Ken Uston made use of this phenomenon.

One final point, while playing in Reno. Always carry a disposable camera with you. That way, when they start taking your picture, you can take theirs. Trading these sorts of antics is playing a losing game, obviously. And if you find youself in such a situation you’ve done something really wrong, but it does tend to make one feel better at the end of the day.

Depths of Ignorance in Reno Casinos

The depths of ignorance in Reno casinos are unchartable.

Never underestimate the sheer stupidity, paranoia, and fear of the pit critters.

I once, trying to pass myself off as a mentally handicapped compulsive gambler, muttered …

“So, uhm … like, if all the aces get played I can’t get a blackjack?”

Man, you’ve never seen a Pit Boss’s head shoot up so fast, twisting left and right, seeking out the guilty perp. And as I slumped in my chair, I was reminded you simply can’t make a stupid enough comment to make them think you’re an idiot.

Reno Blackjack Dealers and Card Counters

Can’t we all just get along?

No, we can’t. Sorry.

I have so many instances of befriending blackjack dealers who would then identify me as a “mark” and consequently expect a little extra toke for the shared good fortune. And if they didn’t get it, they would turn on you faster than a fanged snake with a skin condition.

Even those who know better can get lured into this dynamic. In time, it will destroy your bankroll with 100% certainty. The dealers are exceptional hustlers, and once they identify a little bit of weakness, they will devour you.

It’s like a relationship. And what gets people into trouble in relationships is not having clearly defined roles. Your relationship with the dealer is of the utmost importance when you sit down, particularly for the first time. Every dollar won costs you $100 in wagers, and if you are to go by Certainty Equivalents and other fancy math… perhaps closer to $200.

Just try winning a few hundred in a session and flipping the girl a dollar. You will not make any friends. But if you do any more than that, you’re probably playing a losing game. And if you flip her enough to make her happy, I can guarantee you that you will be in the poor house.

Don’t kid yourself on this issue. Fluctuations are not the number one killer of success in card counting. In my experience, and from watching those around me, it’s really tipping that cute girl a dollar on every third win that destines a low stakes player to a flight back to home and a job.

Ok, I’m veering off topic. But the point is, the moment you sit down at the table you are being categorized. If you adopt a spineless persona, the dealer will come to expect a spineless persona, and all those tips that come from a spineless persona. You have become her bitch.

And once that identity is set, you have just fuct yourself (I apologize for the language, but this is kinda important). Conversely, if you never tip, she will also come to expect that as well. And the interesting thing is, provided you are consistent with your attitude, all will run smoothly. But if cracks start to form, then the trouble begins.

Whether you’re a non-tipper that decides to be gracious or a tipper who decides to be chintzy, problems start when you deviate from your identity. You are introducing weakness into the relationship, and weakness is punished severely in this game.

And don’t think that your tipping puts you in anyone’s good books. In my early days, I was tipping more than I was making in EV, but it didn’t prevent the backoffs. Remember, the backoffs come from above, and every tip you give is one less dollar the casino can make off you.

(One further thought, and this came from someone far more experienced than I. He recounted a story of how he witnessed a group of dealers together at the end of their shift, laughing about how much money they had collected from all the “losers” who had tipped them.

This is not the final word on the subject, but you would be better served viewing them in this light, than the urge to see them as struggling wage slaves trying to put food on their table. They WILL portray the latter identity, hold to the former.)

Card Counters and Reno Pit Staff

Beware of Greeks bearing gifts.

Subtitled: And you thought the blackjack dealer was evil …

Story time.

Nice Pit Boss: “You know, you should really be playing two hands on positive counts.”

Syph: “Yah, but I don’t want to wear out my welcome here. Besides, I think your dealer likes me.”

Nice Pit Boss: “She’s married. Let me get you a dinner.”

Syph: “Hey, thanks!”

While eating, the Nice Pit Boss joined Syph for dinner. They laughed and talked about the game. Turns out, the Nice Pit Boss used to be a card counter himself and even wrote a small book on the subject, and as the rapport developed, Syph popped the question:

Syph: “So, you don’t mind if I come in and play?”

Nice Pit Boss: “Son, I’ve been through three divorces… you think I care about this shit?”

The next night, the moment Syph raised his bet, the dealer shuffled. Then another early shuffle. And another. And one look over at the smirking Pit Boss told the story. An uncomfortable feeling of betrayal pierced Syph’s soul…

Syph: “Hey, I thought you said you didn’t care?”

And the Nice Pit Boss, with a benevolent smile and detached grace that would humble a buddhist and shame a trappist monk, responded:

“I don’t.”

(True story. In my defense, it happened relatively early in my career.)

Blackjack Card Counting and Surveillance in Reno

Be Kaiser Soze.

This article may be a little long winded, but I now need to address those who would like to try and be a bit more genuine than the rest of the cloak and dagger-like card counting community. I can respect this approach, but I must warn you, it won’t work. I know, I tried.

Ya gotta be more Kaiser Soze than Forrest Gump.

The simple reason is that Gump is just too easy of a target. And if there’s one truth in the casino industry, it’s that surveillance will go after the easiest perceived threat to justify its role.

Insofar as the surveillance personnel’s relation to you is concerned, they are not interested in protecting the game as much as they are interested in protecting their jobs. Your EV of a few dollars an hour isn’t really going to affect the bottom line much (though this has been argued), but card counters tend to stick out like a sore thumb. So while backing you off may have negligible impact on the casino’s EV, it has immense value (social, hierarchical, and economic) to a surveillance goon looking to move up, hold on to his job, or earn respect.

Remember that the surveillance guys don’t have the skills to catch the true threats to their bottom line, but they can obscure this by racking up large numbers of small time counters.

Reno Blackjack Wrap Up

Ok, so you’re spreading like a maniac, you’re flirting with the dealers, you’re not having dinner with the pit boss, and you’re keeping your sessions brief.

For myself, most of my backoffs happened when I got stuck for a good chunk, then spent the next six or seven hours digging myself out.

Don’t do this. Thirty minutes tops, and twenty would be better.

Now, you’ve asked about how the intel is in Reno. Unless it’s changed recently, I can assure you that (at least at low stakes) it is virtually non-existent. I would get backed off or barred during the day shift, then return for the graveyard. My grainy, black and white picture was probably in every book in Reno, but there was always a shift (or two) in the same casino that hadn’t gotten the memo. And, yes, I was probably backed off a dozen times at the Peppermill, hell… who wasn’t?

(Incidentally, this was the same Peppermill chain where they consequently comped me a room in Wendover a few months later. Same name on the player card. And they’re still sending me promos.)

I’ve never had problems getting a game.

So any concern about your name/image getting out can be laid to rest. If you are caught, it won’t even get around to the next shift. And this was first brought to my attention by a man who had been playing in Reno for 20 years.

‘Nuff said.

Needless to say, these are only my experiences. But as a guy who tried to live off a small bankroll in Reno, I thought I’d venture my two cents. Again, none of this is meant to replace your own experience, but if you are undecided on a certain area, I don’t mind giving a bit of a nudge. ♠

Posted on Leave a comment

How to Negotiate for Better Casino Comps

Redefining the Whale: Las Vegas Casino Comps for Smaller Fish

by Arnold Snyder
(From Blackjack Forum Vol. XXII #2, Summer 2002)
© Blackjack Forum 2002

OK, let’s look at the positive side of the September 11 terrorist attacks. We all know the negatives. Trying to fly anywhere these days is a royal pain in the butt. Anyone who looks the slightest bit foreign gets shaken down, searched and sometimes held for questioning. The government is now allowing itself to trample all of our civil rights in the name of national security. Then, there are all those dead people in New York…

But still, as Monte Python sings, “Let’s look at the bright side of life!”

Hey, those crazy Arabs who attended flight classes, but skipped out on Landing Gear 101, have inadvertently created some damn good blackjack conditions in Las Vegas… at least for high rollers.

Now I know some of you are thinking… “C’mon, Snyder, September 11 is a day that will live in infamy, a day of great national tragedy, the mass murder of thousands of innocent people… you can’t take this horror and turn it into a blackjack parable! We don’t recall seeing any headlines that read: Thousands Killed, But Great Deals for Gamblers in Vegas!”

Oh, ye of little faith. I don’t make up the news, I just report it. And the fact is: Osama bin Laden, nut case that he is, has significantly changed the face of high stakes blackjack in Las Vegas. Stick with me, gang. There’s a story here…

The economic effects of September 11 on the casino industry have been phenomenal, with various gaming regions reporting both dramatic increases and decreases in business. Las Vegas, for instance, saw its hotel occupancy rate immediately nose-dive from the 97+% average down into the mid-70% levels, resulting in massive layoffs, stalled and canceled construction projects, and an economic recession that has forced the bankruptcy of at least one major Strip casino. The struggling Aladdin, for instance, which had been aggressively pursuing refinancing negotiations throughout the Summer of 2001, put itself on the auction block after September 11.

All of the Las Vegas casinos have been hurting since September 11, but the major Strip casinos have been hardest hit. There is a big difference between the effects on mega-casinos like Caesars or Bellagio, and locals’ joints like Palace Station or Sam’s Town. Unlike the Strip casinos, the locals’ joints didn’t physically lose their customers. The cutbacks and layoffs meant that some of the locals had less money in their pockets, but most of them were still there.

The big joints, on the other hand, depend on tourists who fly in from all over the world. The big joints also cater to a segment of the customer base that the locals’ joints totally ignore: the whales, those players who fly in with six and seven-digit credit lines, or front money, then play baccarat, blackjack, or Pai Gow, for anywhere from $10,000 to $100,000 per hand.

These whales are not a small profit factor for the Strip casinos. As an example of how much these big players can mean to the carpet joints, consider the fact that virtually every major casino on the Strip — except for Bellagio — reported a dramatic reduction in table game win for the month of September, 2001. Why did Bellagio have a great month? Because noted whale of whales Kerry Packer happened to be staying at Bellagio the week of September 11, and he was unable to leave when all international flights were canceled! Bellagio cleaned up on his extended vacation there. Come October, like the rest, Bellagio was hurting too.

One major factor in the disappearance of the whales from Vegas’s VIP rooms was Japan Air Lines’ (JAL) cancellation of all non-stop flights into Las Vegas. JAL had a near monopoly on flights to Vegas from ports in the Far East.

It should also be noted that JAL did not cancel their Vegas flights because the airline was afraid to fly into the US. They did not cancel their flights until it became clear that there were no longer enough passengers to make these flights economically feasible. People all over the world were afraid to fly. The junkets from Tokyo and Hong Kong that typically brought in the highest of the high rollers were no more. The Strip casino VIP rooms were empty.

Not all casinos throughout the US suffered like Las Vegas did. California’s Indian casinos thrived, as gamblers avoided even short domestic flights. Likewise, Detroit’s casinos saw an increase in business as a direct result of the September 11 events. Since nobody actually flew into Detroit to gamble, the flight paranoia meant fewer Detroiters were flying out of the city.

Also, those players in Michigan and Ohio who would normally drive across the Ambassador Bridge to gamble in Canada’s Windsor Casino, stayed to play in Detroit so they wouldn’t have to put up with the security delays and hassles of crossing the Canadian border. Customs was a nightmare.

What many of the big Vegas Strip casinos learned from September 11 was that a small handful of high-end players meant the difference to them between profit and loss. One player betting $10,000 per hand was worth a thousand players betting $10 per hand. An individual player’s result (such as the result of a Kerry Packer) can sometimes change the bottom line result for an entire month!

The big Vegas casinos had to make some quick decisions after September 11. If JAL wasn’t going to fly the whales in, then there was no use even trying to get the “regulars” to come back to the VIP rooms. The regulars were oceans away. What Vegas needed in its VIP rooms was a new group of regulars. Although domestic US flights also had severe cutbacks, and many Americans were frankly afraid to fly, at least the domestic flights still existed, so the Vegas casinos were simply faced with the problem of figuring out how US players could be lured back into the air.

Money talks.

The casino bigwigs looked at the way they marketed their games to the overseas whale market. Whales lived in a world of comps unknown to the average player, including most players who counted themselves as “high rollers.” Whales typically got not only the standard RFB (room, food, beverage) comp, for themselves and their friends and families, but they also got their airfare which in many cases meant the cost of the fuel and the pilots for their private jets.

Then there were gifts: jewelry, watches, shopping trips to designer stores, tickets to concerts, sporting events. There were invitation-only tournaments, sometimes with six-digit prizes and no entry fees or buy-ins. There were the loss “rebates,” running as high as 20%, 30% or more, depending on the player’s credit line and betting level. A loss rebate is just what it sounds like: if the player has a 20% rebate deal, and he loses $500,000, he’ll get 20% back ($100,000) as “walking money” when he leaves. And then there was up-front money itself. Come in with a million bucks, and get an “extra” $20K or more in chips, just for showing up! Just a little incentive.

So, since the overseas whale market was gone, the casinos needed a new class of domestic whale who could be convinced to fly in and take one of the empty VIP seats. There weren’t a whole lot of domestic players in the multi-million-dollar action category, so the casino marketing execs instructed their hosts to go after the high-end US players who were a level down from the whales, the players who normally put up front money or had credit lines from $25,000 to $100,000. These new mini-whales started getting offers from hosts that included all the typical whale bait.

For the first time, a player who came in with a $100,000 credit line got an inkling of what it was like to be a player who came in with a million. For high-end advantage players, Las Vegas has become vastly more advantageous since September 11, 2001. Some of the new comp opportunities have little dollar value, but others are valuable enough to make a mediocre game a highly advantageous game. Let’s look at, and analyze, some of the complimentaries that are being made available to mini-whales these days.

Butler Service Comps for Whales

Unless you’re trying to impress your date, having a six-room suite with fresh flowers and fruit bowls changed daily, and butler service, has no dollar value. Whales have always gotten butler service in their rooms. Now, with a lot of the penthouse suites empty, casinos are starting to give these rooms to lower end players. And what is the difference between butler service and regular room service. Does it really matter if the person who brings the food up to your room is dressed like a butler?

“Whales get real butler service, and that means a lot of things,” says one player who wishes to remain anonymous. “If you call for your breakfast, you can ask to have the pot of coffee brought up right away, and it will be there in a minute. You can ask for a copy of Sports Illustrated or some other magazine, and the butler will pick it up in the gift shop for you and deliver it with your breakfast.

“Also, if it’s real butler service, you won’t ever see a bill. He’ll bring the food, set the table, and disappear. With room service, you can be sure you’re going to sign for whatever you order. When you have butler service, the casino has already decided up front that everything you ask for is comped. Now that some of the smaller fish are getting into the luxury suites that were meant for the whales, casinos are sometimes telling these players they have butler service when they really don’t. If the ‘butler’ asks you to sign for the food, that’s not butler service.

Butlers will pick up your tickets at the box office, press your pants, you name it. And they never hold a hand out for a tip. They’re servants. You leave money for them in an envelope when you leave, and you should be generous.”

Gifts for Whales

Players who get rooms with butlers also typically get gifts, which range from small (flowers, chocolates, wine, champagne, etc.) to medium (jackets, luggage, designer shirts, and the like) to lavish (watches, jewelry, artwork, and more). There is also very little dollar value to most of these gifts, at least from the perspective of the advantage player. A typical gift watch for a mini-whale, which might sell for $2000 in a jewelry store, probably wouldn’t get more than a couple of hundred bucks on Ebay. You might as well just keep the watch.

A High Value Casino Comp: Shopping Trips

Many casinos are now offering shopping trips to their mini-whales. You’ll be set loose in a store with a dollar limit of anywhere from $500 to $15,000, depending on your level of action. The casino picks up the tab, usually by special arrangement with the store(s) involved. The shopping comp, which sounds extremely valuable, is also of limited dollar value in the real world. As explained by one advantage player:

“I got an invitation to a $1000 shopping spree at Neiman Marcus. I thought fantastic, since I would never shop there otherwise — all that overpriced designer crap. I figured I’d go spend my thousand bucks, then return everything later and walk with the cash! Unfortunately, as I discovered, you can’t return anything for cash. Not allowed. You either have to get something you actually want, or maybe a gift for your wife, or something you might be able to sell to one of your friends at a discount… a thousand bucks doesn’t go very far in Neiman Marcus.”

Casino-comped shopping-trip purchases cannot be returned to the store(s) for cash refunds because the casinos negotiate special deals with the stores to pay the wholesale price on a no-refund basis. If you get a $600 silk shirt, you can be sure that the casino is not paying anywhere near $600 to the store. As another player describes it:

“The whole shopping trip comp is to make rich jerks feel important. It’s like ordering a bottle of Dom Perignon from room service. Most of the big casinos list Dom at anywhere from $250 to $350 on their room service menus. They don’t even specify the vintage. I can almost guarantee you’ll get a 1992 bottle, since — as Dom goes — that’s the cheap stuff. You can get that in any liquor store for about $99 a bottle, so I would guess the wholesale price is $50 or less.

“If you’ve got a million-dollar credit line, on the other hand, you’re not going to get the 92 Dom because they figure you probably know the value of it. You’ll get the good stuff. If your credit line is only fifty thousand, they’ll figure you don’t know Dom from Cold Duck. You get the 92. You think they’re comping you a $300 bottle of champagne, but it’s just to make you feel important.

“By putting outrageous prices on room service items, they can also max out their ‘soft comps’ so that they can avoid paying any ‘hard comps’ if you turn out to be a phony. For example, let’s say you put $100K in the cage when you arrive, then you never place a bet of more than $1000, and you rarely even bet this much. They’ve got you down as a $400-500 average bettor. They know that the $100K front money was just for show. You never really gave them a shot at your bankroll.

“When you try to get your airfare, they can point to your $1500 per night suite, and your thousands of dollars in room service charges, and your $2000 shopping trip, and tell you that you don’t have sufficient play to qualify you for $1200 airfare. Airfare is always a hard comp. If they give you $1200, then it’s $1200 cash. There’s no kickback from the airlines.

“For this reason, if you think you’ve got a shot at getting your airfare, skip the Dom and the caviar. In fact, tell them you just want a small regular room because you’re afraid of heights, or you hate elevators. Tell them your wife hates shopping! Minimize the soft comps, and you might see some airfare cash when you leave. Of course, if you are putting a half-million on deposit and playing long hours, with an average bet of a couple thousand, you don’t have to scrimp on anything. You’ll get your airfare and lots more.”

Comped Event Tickets

Says one pro: “When I was playing at a lower level — chunky black action — I used to milk event tickets for money. Fight tickets, concerts, shows — you can sell all of those tickets pretty easily, especially if the event is sold out. And, because the casinos comp so many tickets, it’s hard to find a show that’s not sold out!

“Event tickets are one of the easiest to get soft comps there is, unless it’s some major event that everyone really does want to attend. You simply tell your host to get you as many tickets as he can come up with because you have a whole group of friends in town, and you want to take them all. I used to scalp fight tickets right outside the entry gate. You’ve got to be cool, just wait until someone meets your eyes. There are always people who show up looking for tickets.

“Now that I’m more of a whale, I can’t pull this off so easily. If I’m trying to pass myself off as some millionaire gambler, I can’t be seen hawking tickets like a two-bit hustler. It’s important to uphold the image at all times.

“If I don’t personally know someone who will buy the tickets from me, then I’ll just go to the event myself. But it’s painful sitting in $800 seats with a friend, knowing that some fight fan would have given me $1200 each for the tickets. Especially when I don’t care that much about boxing. But image is everything at this level of play. If I really don’t care about the event — I had tickets to the Madonna concert last year — I’ll give the tickets to a host or a boss or someone in marketing.

“I recently took a buddy to a comped fight — fantastic seats — and found myself sitting next to one of the casino marketing execs and his wife whom I’d met briefly on a previous trip. This was my host’s boss, and he recognized me.

“Turns out he was the person who had scored these tickets, and he knew I would be sitting next to him. Imagine the questions that might be raised if I didn’t show up in those seats, especially if I later told my host how much I enjoyed the fight! Even worse, what if the marketing guy asked whoever did show up in my seat where he’d gotten his tickets, what he’d paid for the seats… When you’re playing blackjack for thousands per hand, you can’t afford to look cheap or phony to anyone.”

Air Fare Casino Comps for Whales

In the new edition of Comp City: A Guide to Free Casino Vacations (Huntington Press, 2001), Max Rubin describes an airfare comp scam that big players have been using for many years, in different variations. According to Max:

“…buy your tickets at the lowest discount available, nonrefundable. Then, at the last minute, buy a first-class round-trip ticket from a travel agent… When you get to your destination, play in two different hotels… After a long play in the hotel you’re not staying in, show your host the expensive tickets and snivel, telling him how much you lost and how you didn’t even stay at his hotel… and pleeeeease help me out here, I’m tapped and my wife’s going to kill me and can you make reservations for my next trip?…

“Then take that same first class ticket to the joint you’re staying at and tell the host there how you paid for all your own lunches, but you’re tapped and cripes, you’d like to come back but if you go home empty, you’re gonna get killed… Be polite, but persistent, and you’ll likely get at least a portion of your high-cost first-class airfare picked up by both places. Then fly home on your budget ticket and cash in the first class beauties.”

I have heard many variations of this airfare scam through the years, with various numbers of first class tickets being purchased and reimbursed by various numbers of casinos. In Burning the Tables in Las Vegas (Huntington Press, 1999), Ian Andersen says that when he visits Las Vegas, he checks into multiple hotels, under different names, for the same trip, and plays at all of them.

He explains: “I buy several sets of open first-class airfares, one for each of my registered monikers. I submit the proper ticket to the VIP host at each joint for a refund. They’ll call up my action on the computer. Assuming my play warrants a refund, they fork over the cash with no questions asked.”

Ian describes how the ploy works for a high roller who “deserves” the airfare comps, as opposed to Max who describes a player who is trying to get more than he “deserves” with the argument that he has lost so much money at the tables. Ian’s method would probably not work so well these days. Purchasing airline tickets under multiple fake names could be dangerous in today’s terrorist-paranoid world.

Likewise, displaying all those fake ID’s, along with the tickets, in Las Vegas hotels, would take a lot of nerve. The level of play required for airfare reimbursement would more often than not require the casino to file a Cash Transaction Report (CTR) with the IRS. This would require the player to show both a picture ID and provide his Social Security Number to the casino. Post September 11, all of these phony ID ploys are much more dangerous, and likely illegal. Max’s whining act is at least not liable for criminal charges.

Ironically, the casinos are well aware that there are big players pulling this airfare scam, and they have known it for many years. In fact, the above quote from the second edition of Comp City, which came out in 2001, is almost identical to what Max wrote in his 1994 first edition.

One casino exec told me, “I don’t care one bit if a player is flying coach but getting us to reimburse first class. Why should I care as long as he gives us the action? We don’t even look at the ticket for our big players. We ask them how much the airfare was, and we give them the cash. In fact, we usually round up. If he says $1850, we’ll just give him an envelope with an even $2000. What do we care if he actually rode in on a motor scooter?”

In Kevin Blackwood’s recent novel, The Counter (Wooden Pagoda Press, 2002), reviewed in the Spring 2002 issue of Blackjack Forum, the author describes a fictional player who must be the ultimate airfare scammer. Since he lives in Vegas, he doesn’t even fly coach to get there. Yet he gets reimbursed for hundreds of round-trip first-class airfares every year by purchasing multiple tickets every week, as if he and his wife are flying in from Cleveland. This character purchases his tickets from a travel agent friend, then returns them to the same agent. He is portrayed as having made half a million dollars in the past two years on phony airfare reimbursements.

This, of course, is pure fantasy. Whereas Ian Andersen describes a workable ploy whereby a big player with multiple IDs might get multiple airfare reimbursements for the same trip under different names, and Max Rubin describes a player who is not such a big player getting multiple reimbursements under his own name, it is highly unlikely that any big player could have enough fake IDs to get multiple reimbursements each week, 50 weeks per year, for years on end.

The number of Las Vegas casinos that take action big enough to qualify a player for reimbursement of two first-class round-trip tickets from Cleveland is small — maybe a dozen or so. And the amount of action required for this reimbursement would be substantial in both hours and average bet.

No player could play that many hours per week, week after week. And any player who did put that many hours on the tables every week, with average bets in the multiple thousands, at the same dozen joints, would become so well- known so fast that his fake names would unravel in no time. There is just too much communication in the industry about the big players.

Most of the big Las Vegas casinos are owned by one of three different groups: The MGM/Mirage group, which owns MGM, Mirage, Bellagio, Golden Nugget, New York New York, and Treasure Island; The Park Place Entertainment Group, which owns Caesars, Paris, Hilton, Flamingo, and Bally’s; and the Mandalay Group, which owns Mandalay Bay, Luxor, Excalibur, Circus Circus, and Monte Carlo. All of these groups have cross-over management and marketing execs.

Even if the casinos were so ignorant that they never noticed the same face continually popping up under different names, what would the airlines think of a travel agent who purchased and returned hundreds of first-class tickets every year, for the same passengers, none of whom actually ever flew anywhere? The concept reeks of a scam. Even if you could find a travel agent willing to do this, it would not be long until the feds were investigating.

In any case, the new “ticketless” travel option that most airlines now offer has made it much easier for players to pick up multiple airfare reimbursements. Some years back, when the scam first came to the casinos’ attention, many casinos started rubber-stamping the airline tickets “PAID,” with their casino name. It took a lot of guts to ask for a second reimbursement at a different casino, when they could see that you were already reimbursed elsewhere.

Now, with so many people purchasing tickets on the Internet, or through 800-numbers, “ticketless” itineraries are simply emailed or faxed to the purchaser. By printing out multiple copies of the itinerary, it doesn’t matter if a casino stamps it “PAID.” You can use a clean copy for the other casino(s) where you play.

One way to judge your whale status at any casino is by how they handle your airfare reimbursement. If they want to see the ticket (or itinerary), and then (usually) photocopy it, and have you sign a receipt for the exact amount paid, you’re not very high on the whale scale. If, on the other hand, the host just hands you an envelope with money in it, no questions asked, you’ve arrived at the top. Of the comps available to the new breed of mini-whale, airfare is the first one with real dollar value. It’s always paid in cash, and the amount can be substantial.

Beyond Comp City…

Most of the above comps are discussed at great length in Max Rubin’s seminal work on the subject, Comp City. Max never gets into some of the whale category comps, as up until recently these have been just too unavailable to all but the chosen few who came to town with millions to lose. So, let’s look beyond Max into some of the comps that casinos are dangling in front of mini-whales today.

Money Comps for Whales

One very valuable comp, formerly available only to whales, is money. That’s right, most of the big casinos will flat-out comp you money. They won’t give it to you in cash, per se, but it has virtually the same value as cash.

Some casinos call these cash comps “bonus” chips, or “promotional” chips, or “casino action” chips. One player explains it like this: “If I go in with $100,000 front money, the casino gives me an extra $2,000 in ‘promotional’ chips as soon as I put the money in the cage. Two thousand bucks right off the top, just that easy. My host told me that I could get this extra $2000 for every $100K I come in with. If I had $500,000 to put in the cage, they’d give me $10,000 extra right off the top!”

Technically, this is just a high-end variation of what many casinos have provided their low-end players for many years. If you’ve got a “fun book” from some local motel in Vegas, there’s quite likely a coupon within it good for a roll of nickels ($2.00) at one of the casinos that’s trying to lure in slot players.

I’m not sure which casino invented the concept of “casino action” chips as a bait for players, but Bob Stupak raised it to an art form back in the 80s at his Vegas World Casino (now the Stratosphere). I can’t remember all the various offers made to players by Vegas World, but typically if a player checked into their hotel for the weekend, he could get back nearly all of his hotel charge in promotional “casino action” chips. These looked more or less like regular gaming chips, except that players were not allowed to cash them in at the cage — they had to be played at the tables.

Also, they did not have the full dollar value of regular casino gaming chips, because they could only be used for one play. If you bet a $5 casino action chip and won the bet, you’d get the $5, but the casino action chip would be taken away. This cut the value of a casino action chip by slightly more than half. What cut it even further was the fact that they could be used on “even money bets only” at the tables. A player who was dealt a blackjack on his casino-action-chip hand, learned to his dismay that he would only be paid even money.

In the 90s, Caesars Palace started using promotional chips to lure in bigger fish. During slow periods, they would send coupons to their high-end customers offering them casino chips valued at $100 up to $500, depending on the player’s prior history. In the mid-90s, MGM began making similar offers. Typically, no play was required, nor was front money necessary, though often the player was required to check in at the hotel in order to get the promotional chip from the cage.

At different casinos today, these promotional chips work differently. At the MGM/Mirage properties, the bonus chips that are given to big players have full-dollar value because you may continue to play the chips until they lose. You still can’t cash in a promotional chip, but you win real chips with them, and if you are there to play, this is real money. I’ve heard a few stories about players who started play with a $500 promo chip, then won numerous bets in succession, and finished playing through the entire weekend at the black chip level without ever having to dig into their own pockets!

It may sound incredible that any player might be provided with thousands of dollars in promo chips, but the fact is, if you are going into a casino with $100,000 front money, the casino will be expecting you to have average bets of a couple of thousand dollars. They’re really just giving you one average bet! And if your average bet is not in this range, then you will be unlikely to get this promotional chip offer in the future. Casinos hate it when players put up front money “for show.” They expect you to gamble with the money you come in with, not just flash it for comps.

Says one pro: “If you are playing at the level where you are putting up substantial front money, and the casinos are giving you bonus chips up front, you really are expected to give them satisfactory action, in both average bet and the number of hours you play. This type of promotional bonus is always arranged by your host, and you’ll know what to expect from them, and what they expect from you, before you arrive. If I go in with $200K, and they bump it up to $205K, that’s a real nice head start on a playing trip.

“Before you get to that level, however, you will probably pass through the lower-end comp, where the casino marketing department just sends you a flyer with a coupon for a $200 promotional chip, or a $500 promotional chip, or whatever they feel your past play warrants. These coupons are always dated, and usually have a very small range of dates when you can pick up your chip from the cashier.

In almost every case, the chip offer is combined with a free room for 2-3 nights during the valid dates, weekends usually excluded. If you don’t want to pass up the opportunity to get the chip, but you really don’t want to play at this casino, then your best bet is to check in, get your chip, play it on a table, then leave the pit without showing them any other play during your stay there.

It’s crazy how in most casinos marketing and pit operations are so disconnected that you won’t even show up in the computer as having played there, provided you never give the boss your player’s card. I know one player who got one of these $500 chip offers from the same casino many months in succession, despite completely burning them on the comped room and giving them no action whatsoever except for the promo chip.”

The Best Casino Comp: Loss Rebates

Another high-end comp being offered to mini-whales, formerly available only to the highest level of whales, is the “loss rebate,” or “discount,” as some casinos call it. The rebate is exactly what it sounds like: if you lose, you will get back a percentage of your loss when you leave.

In Comp City, Max Rubin discusses the concept of “walking money,” and loss rebates are just a high-end variation of this age-old pat-on-the-back-and-handshake, with a little green pressed into the player’s palm. There has long been a tradition in the casino industry that if a player taps out (loses everything he came in with), the casino will give him a hundred bucks or so in order to get him home with something in his pockets (or even to pay for the bus ride!). Walking money was simply a courtesy extended to “good” customers.

The loss rebate offered to whales and mini-whales is a creative take on walking money, except that it is not necessary for the player to go broke, and the amount of the rebate is agreed upon in advance of the player posting his front money.

Various casinos have various rebate programs. Some require the player to put up a specified amount of front money — which might range from $50,000 to $250,000. Some require a specific loss in order to qualify for the rebate, which again might be $50,000, or $100,000, or more. Some have rebate schedules that change as the amount of the loss, or the amount of front money changes.

For instance, you might be offered a 5% rebate if you lose $50,000, a 10% rebate if you lose $100,000, and a 15% rebate if you lose $250,000 or more. The purpose of this graduated rebate is to keep you in action after you’ve lost a significant amount. Those in the whale category, who come to town with millions, have reportedly been offered loss rebates as high as 25% to 30%.

As a card counter, this type of program will likely have you salivating. Imagine the value of having every major loss cut by 10%. In fact, consider the result if you just played a break-even game with the house, with a 10% rebate deal, and you always played until you either won or lost $100,000. Over time, you would win half of your sessions, and lose half, but every time you lost you’d only lose $90,000. On average, you’d be making $5000 every time you played! If you played every weekend, you’d profit more than a quarter million dollars a year, just by playing even with the house!

Unfortunately, this is one of those things that sounds better on paper than it would work in the real world. In Extra Stuff: Gambling Ramblings (Huntington Press, 1991), Peter Griffin discusses and analyzes a number of loss rebate propositions that he had heard of being made to various high level players.

One of these rebates was negotiated by a wealthy sheik who wanted half of his loss returned (a 50% discount on losses!), provided he would bet $10,000 per spin at roulette. Griffin shows that with a rebate of this magnitude, even at a terrible game like double-0 roulette (5.26% house edge), the sheik would clean their clocks to the tune of about $87,000 per trip, if he always played for exactly 234 spins, and also always bet the numbers (35:1 payout), rather than the even money bets (red/black, odd/even, etc.).

It certainly isn’t intuitive to me that the way to make money on this rebate deal would be to bet the long shots, but that’s a different story. What is most important from Griffin’s analysis as far as blackjack players are concerned is that if the sheik were playing the even-money payoff bets, instead of the numbers, then the optimal number of spins for him to have the best edge over the house would be 7, not 234. In fact, if he played more than 28 spins on these even-money bets, then even despite a 50% loss rebate, the edge would swing back to the house.

Griffin further analyzes the optimal play with a loss rebate of only 10%, where the player is making even money bets in a game like craps, where the house has only a 1.4% edge on the pass line. In this case, the optimal number of bets the player should make is only 3, and if he makes more than 11 bets, the overall edge swings back to the house.

This is very enlightening for any player who decides he wants to “milk” loss rebates, with a strategy which assumes that he will win half the time and lose half the time, give or take the flux and a relatively small house edge. If the house has any edge over you at all, it does not take much play on your part before the rebate value has been cut sufficiently to make your continued play a negative expectation.

Of course, the bigger question is, can you play a winning game at the multiple-thousand-dollar level? At this level, where you are definitely one of the biggest players in the house, especially with a loss rebate deal, the scrutiny will be intense.

Can you pull off card counting (or other advantage play) in such circumstances? How much camouflage will you have to lay, both playing camo and betting camo, to keep the bosses smiling and the eye upstairs happy with your play? Rebate deals can have a huge value for advantage players who can actually get away with advantage play, or even break-even play, at that level of action, but few can probably do this for long.

That’s why, although the casino industry is aware of Griffin’s analysis of rebate value, they continue to woo gamblers with discounted losses. They know that with modest rebates, and a small house edge, it doesn’t take them long before they have the best of it. Try playing craps for less than 11 rolls of the dice and see if you qualify for a rebate, regardless of your bet size, your credit line, or how much front money you put in the cage.

Hookers for Whales

Here is another one you won’t find in Comp City: sex. In fact, Max writes: “Contrary to popular belief, hotels do not send hookers to high-rollers’ rooms. Gambling destinations are becoming more and more family-oriented, and a casino, no matter how big the player, would risk losing its gaming license if it supplied gamblers with women.”

Max, this just ain’t true anymore. (Well, it’s true a casino might be risking its license, but it’s not true they wouldn’t risk it!) A host at a major Las Vegas casino recently offered one mini-whale an invitation to a “pajama party” in one of the casino’s penthouse suites.

“He told me I didn’t have to wear pajamas myself, but there would be a good selection of women there who would be in their nighties, and ready to go back to the players’ rooms with them. He said there would be drinks and hors d’oeuvres, and that only their ‘best’ players were invited. ‘Best’ to them means the biggest losers, or expected losers, I guess. I was actually shocked, but I just told him I never paid for sex. He said the women were already paid for, and to just think of it as a comp.”

Whether a casino might really be risking its license on something like this is debatable. Technically, the casino is not offering a sex partner to its customer; the casino host is offering this goodie. Or, you can be sure that would be their argument! You can be sure the casino itself would wash its hands of this matter. “We didn’t know nothin’ about it, judge!” You can also be sure that the host is not pulling money out his own pocket to procure sexual favors for players. One way or another, that host will be reimbursed for his efforts and costs.

Says another big player: “I was invited to a major casino in Mississippi, and my host asked me if I wanted a girl for the weekend. I asked him what he meant, and he said, ‘She’ll eat with you, she’ll sleep with you, she’ll stay with you all weekend. Just make sure you don’t bring your wife.’”

Shades of pre-Castro Cuba! If you were a casino gambler back in the 50s, when Nevada boasted the only legal casinos in the US, many East-coasters chose Havana over Vegas. The flights were cheaper and the casino-hotel accommodations were first rate. Casinos were not family affairs back them. There were no theme parks for the kiddies. In Batista’s casinos, for an extra fifty bucks or so, a hotel guest could get a girl (or boy) companion for the whole weekend. The big players were often comped this luxury.

I can definitely state that there’s no dollar value to this type of comp for advantage players. I’m not even sure if this would be considered a soft comp or a hard comp, pardon the pun(s). But as I doubt this is a cheap comp for the casino, you may want to tell your host that whatever they’re paying the girl, you’d rather have it in promo chips. I mean, we are in this for the money, aren’t we guys?

In any case, the competition for high-end players is obviously getting fierce. The day of the mini-whale is here. ♠

[Note from Arnold Snyder: For more information on casino comps and high rollers (whales), see Deke Castleman’s Whale Hunt in the Desert: Secrets of a Vegas Superhost.]

Posted on Leave a comment

Blackjack Reality vs Blackjack Hype

What to Expect from Professional Blackjack Play

by Arnold Snyder

© 2005 Blackjack Forum Online

When you first enter the world of gambling, you only see what this world pretends to be. You see casinos touting their “loose slots” and their “liberal blackjack games” and their “big winners.” You see system sellers promoting their “professional gambling secrets,” sure to change your life and your tax bracket. In the world of gambling, it seems everyone’s trying to give you money.

That’s the hype.

The reality is that this world is after your money. The casinos brag about their winners for the sole purpose of bringing in more losers. The system sellers and phony “professional gamblers” tell you they’re giving you the keys to the vault, but when you get to the vault, you find a combination lock. Funny, they never mentioned the combination.

Some of the con men are easy to spot. They take out slick newspaper and magazine ads and promise you $500 or $1000 a day, no work required.

But others are more difficult to identify. They drape their books or advice with lots of complex-looking math and false claims of experience at the tables. Their books may even be endorsed by well-known, reputable experts (who didn’t have the time to actually read the books before providing their endorsements, or who lacked the expertise to validate the books’ claims).

How do you spot this type of con artist?

He tends to provide a lot of scholarly citations, but few details of practical application based on his personal observation and experience at the tables. They use a lot of jargon meant to confuse beginners. Their writing is often deliberately hard to understand, designed to make you feel that your lack of understanding is your fault.

And most important: No matter how complicated the system, the phonies always say, “It’s easy.”

When Ken Uston wrote about blackjack team play, you know he did it. You can feel it on the page. When Wong wrote about tournament strategies, you know he played in these tournaments. When Bill Haywood wrote about Internet gambling, you know he spent many hours in online casinos. When Charles Lund wrote about beating the slots, you know he did it.

All of these authors fill their books with a hundred problems they’ve had in attempting to execute their strategies. They discuss how difficult it is to get everything right. Real professional gamblers always give lots of clear warnings to beginners. They tell you what it’s like when the casinos become suspicious, when the play goes wrong, what kinds of mistakes you will make. They’ve been there, done that.

Many intelligent people flock to the con artists because they don’t really play themselves. The purpose of the groups formed around such “gambling experts” is to foster a sense of elitism among their members, who all want to be perceived as experts, though they’re not willing to test their “expertise” at the tables. They don’t care if you don’t win, or even if you lose, because they don’t risk their own money at the tables and they don’t know how it feels. To them, blackjack has nothing to do with putting their financial positions on the line; it’s just a mutual admiration society.

Nobody succeeds at blackjack because they are the best at doing what “authorities” tell them to do. They succeed because they are able to think on their own.

On the other hand, if all you want to do is talk blackjack instead of beat it, these groups are fine for you. If you pat the right people on the back, they’ll soon be patting you, and there’s no money lost in that.

Anyway, we hope you get something out of this Web site. I do want you to know that there really is such an animal as a professional blackjack player, and you will find many genuine professional gamblers here; but if this is your goal in life, you’ve got to be careful. We know better than anyone that you can succeed, but it’s a jungle out there.

Though players do make a lot of money at this game, most who try never acquire all the skills needed to win over the long haul. I don’t know who’s more dangerous to your bankroll—the casinos, the system hawkers, or the Internet “experts” and phony “pros.”

Professional blackjack is a Darwinian survival-of-the-fittest world. Ultimately, your success will depend less on your bankroll than on your decisions. Whom are you going to trust? What do you really have to know?

Where will you rank in the gambling food chain?

For a realistic look at the fun and frustration of card-counting for a serious part-time player or new pro, see A Year in the Blackjack Pits. ♠

Posted on Leave a comment

The Latest Non-Random Shuffle Studies

Ruffled by the Non-Random Shuffle

by Arnold Snyder
(Blackjack Forum Vol. X #1, March 1990)
© Blackjack Forum 1990

[Arnold Snyder is the author of The Blackjack Shuffle Tracker’s Cookbook: How Players Win (and Why They Lose) with Shuffle-Tracking.]

On January 9, 1990, The New York Times published an article about two mathematicians, Persi Diaconis (Harvard University) and Dave Bayer (Columbia University) who have recently completed a computer study of casino-style card shuffling. Their paper proves that it takes seven riffles to “randomize” a single deck of cards. “Random” is defined as the probability that a card in the deck prior to the shuffle will have the same likelihood of occupying any position in the deck after the shuffle.

First of all, I’d like to thank all 173 of my readers who sent me clippings of this article, or any of the edited variations of this article which appeared in newspapers across the country after the story was picked up by the wire services.

Some of these condensed wire service stories have really riled a lot of blackjack players. One Associated Press variation was titled: “Computer Says Blackjack Shuffle Hurts Gamblers.” I’ve been virtually swamped by letters and calls from blackjack players asking, “What can we do?”

Players who read the original New York Times article, to the contrary, were led to believe that the non-random shuffle was not detrimental to the players, but exploitable by them. Diaconis is quoted as saying: “There are people who go to casinos and make money on this. I know people who are out there doing that now.” This has prompted queries from some of my readers asking if this means that alleged non-random shuffle systems like “TARGET” and “BIAS Barometer” might actually work.

At the 1987 Gambling Conference, Dr. John Gwynn and I presented a paper entitled: “Does Casino Blackjack Differ From Computer-Simulated Blackjack?” On page I of our paper, it says: “Indeed, casino shuffles are not random. The most recent work on shuffling indicates that seven riffles are required to randomly arrange a deck of cards.” The reader is referred in our bibliography (p. 15) to a 1986 American Math. Monthly article by Persi Diaconis and D. Aldous, entitled: “Shuffling Cards and Stopping Times.”

After the N.Y. Times article came out, I contacted Diaconis to obtain a copy of the latest study. I would like to thank Persi Diaconis for providing me with the paper so promptly, and for permitting Blackjack Forum to quote from it.

Despite what the newspapers may have led you to believe, the latest Diaconis-Bayer paper, entitled “Trailing the Dovetail Shuffle to Its Lair,” does not make any statement whatsoever regarding casino shuffles “hurting” blackjack players, nor did Diaconis and Bayer produce any data whatsoever on casino blackjack via computer simulation or mathematical analysis. Their study also was confined only to the “riffle” shuffle. The various types of thin strips, quick (thick) strips, partial strips, washes, etc., which casino dealers employ along with riffles, would throw a monkey wrench into Diaconis’ and Bayer’s data.

Limiting their analysis to the riffle shuffle makes their findings more applicable to games like bridge and poker, where players continuously and deliberately put cards into order by suit, rank, sequence, etc., and where stripping is less common. The simple overhand shuffle has the same effect as stripping, but many players consider this shuffle amateurish. By limiting their shuffles to a few riffles, players do preserve sequences of cards, the knowledge of which can be exploited by sophisticated players.

Shuffle-Tracking: How Professional Players Exploit Non-Random Shuffles

I do know blackjack players who exploit non-random shuffles in casinos (in fact, I am one of them). They use various methods of shuffle tracking and card location strategies (based on pre-shuffle sequences). The difficulty of shuffling 6 or 8 decks quickly has always been the Achilles heel of casinos that offer shoe games. Attempting to track these shuffles, however, has been the downfall of many good players.

Tracking is difficult and usually requires either a hidden computer (now illegal in Nevada) or a very skillful player, who has spent a lot of hours studying the theory of tracking and practicing to develop his or her skill. Diaconis’ published comment about “people who go to casinos and make money on this” is not a reference to players using blackjack betting schemes like TARGET.

The Diaconis-Bayer study is concerned primarily with the riffle (dovetail) shuffle’s preservation of pre-shuffle “sequences” of cards. As they put it on p.4 of their paper: “Rising sequences, the basic invariant of riffle shuffling…do not intersect, so each arrangement of a deck of cards in uniquely the union of its rising sequences. Rising sequences record the pack history of a sequence of riffle shuffles, until this information overwhelms the number of cards available to carry it.”

Simply stated, an observer who knew the sequence of the cards prior to the riffle(s) can be assured that these sequences will be retained (though finely chapped up) following a series of riffles. In a casino, very sophisticated shuffle-trackers can make use of such sequential information at the blackjack tables. If only two riffles, for example, have been employed — as is often the case with multiple-deck shoe games — an observant team of players who knew the pre-shuffle sequences could know an ace is likely to land as the first card on one of the next two or three hands.

This is what the most sophisticated blackjack tracking teams have been doing for years to beat the shoe games. This is why the casinos have been continually trying to change their multiple-deck shuffle routines. This, in fact, is why fewer decks protect the casino from expert shuffle-trackers. Fewer decks are much to easier to mix up.

As a matter of fact, since 1983, a sizeable amount of computer research has been done on the non-random shuffle as it I relates specifically to casino blackjack. For the sake of Blackjack Forum readers who are confused about the current attention being focused on the non-random shuffle, and especially how it may affect your potential win rate, I would like to review what we know from past studies, as well as describe a few non-random computer simulations I have recently completed myself.

The History of Research on Non-Random Shuffles

The first important non-random shuffle studies were conducted by Stanford Wong. In his June 1983 Blackjack World newsletter, Wong published the results of a study he had done to search far “streakiness” in blackjack, i.e., wins and losses clumping together in a way that could be exploited by the player.

Wong was testing the validity of one of the theories of the then new TARGET system. This system, touted by Eddie Olsen and Jerry Patterson, claimed that in casino blackjack the player could make money in shoe games by betting on hot (winning) tables and avoiding cold tables. Winning streaks allegedly would tend to continue, as would losing streaks.

Patterson and Olsen were not the first to make such a claim. Charles Einstein, the inventor of the card counting strategy which was later computer optimized by Julian Braun as the Hi-Opt I system, claimed in his second book, Basic Blackjack Betting (GBC, 1980), that blackjack players could use his “rhythm” betting system to make money. In a nutshell, rhythm consisted of raising your bet after a win, and lowering it after a loss. Einstein claimed the system would work because wins in blackjack clumped together in a non-random fashion, as did losses.

Wong’s statistical search for streakiness proved fruitless. In his June 1983 Blackjack World, he reported that his 20-million-hand simulation of the 8-deck Atlantic City game showed that “… there is no support whatsoever for the notion that good hands beget good hands and bad hands beget bad hands.” He also published an extensive chart of his computer derived data.

In his August ’83 Blackjack World, Wong published a letter from one of his readers who had written to complain that Wong’s simulation was not valid for the casino game since “… streak betting works because of faulty shuffling.” So, Wong tried another test, this one without any shuffling whatsoever.

One of the TARGET theories held that when a shoe became favorable for the player, it would tend to remain so through the shuffle, as would an unfavorable shoe. Wong programmed his computer to run through one million 6-deck shoes (44 million hands), in which played cards were reordered exactIy as they would be in a dealer’s discard rack. After dealing out 4.5 decks, however, he did not shuffle at all, but simply placed the unplayed cards on top of the discards, performed one random cut, and began dealing again.

Needless to say, good shoes did not beget good shoes, nor bad, bad. Wong published a chart showing the player win/loss for each shoe compared with the previous shoe’s result. Even after one million shoes, Wong discovered: “Differences between win rates … are so small that they could well be random.”

What was most surprising about Wong’s study, however, was that his flat-betting basic strategy player in this 6-deck Atlantic City game did not lose at the rate of -.5%, as expected, but won at the rate of +.25%! Wong had discovered that the playing and pick-up procedures in casino blackjack did, in fact, re-order the cards in a non-random fashion that favored the player by +.75%!

Wong also published a challenge to his readers in that issue of Blackjack World: “If you still believe in TARGET after reading this article, I invite you to make a card-by-card list of a shuffle that you think generates the 4% edge that Patterson claims (in TARGET promotions), send it to me, and I will redo the study using your shuffle each time.”

None of Wong’s readers took up this challenge, but Peter Griffin was intrigued enough by Wong’s discovery that the reordering of the cards favored the player to ask Wong what would happen if Wong shuffled at regular intervals. So, in his October ’83 Blackjack World, Wong reported the results of another million shoes, shuffling every 50 shoes, in which he came up with a player win rate of +.23 % — not significantly different f rom the +.25% win rate with no shuffling. This result showed that the player-biased order which the play of the hands put the cards into did not require thousands of rounds of play, but in fact, asserted itself rather quickly.

Wong also ran no-shuffle simulations with various numbers of players at the table from I to 5. This did have a significant effect on the players’ win rates. His results showed:

# PlayersWin Rate
1+.25
2-.10
3-.27
4-.28
5-.33

So, in alI cases, the basic strategy players showed a result with no shuffling that was more advantageous than the random shuffle expectation — though with 5 players, the difference is not significant.

Wong ran one other test, reported in his October ’83 Blackjack World, to determine what was causing the player bias with no shuffling. Comparing the card patterns with random shuffling to those with no shuffling showed significant differences. As Wong reported: “… The difference between well-shuffled cards and unshuffled cards is that if the cards are not shuffled, high cards tend to follow high cards, and low cards tend to follow low cards.”

So, although Wong could find no validity for the theories of TARGET, he did make a few important discoveries. One, the playing procedures in casino blackjack order the cards in a way that favors the players. Two, this player bias appears to be caused by the clumping of high cards with high cards and low cards with low cards. And three, as the number of players at the table increases, the effect diminishes. Unfortunately, Wong did not find any way for the player to exploit this bias in the casinos. The fact remains: All casinos shuffle.

Some questions remained unanswered, however. Although it appeared unlikely that the player could obtain the huge advantages from poor shuffling claimed by the TARGET system, some players still wondered if “poor” shuffling might retain some small amount of the natural player bias caused by the clumping of high cards with high cards, and low with low. If the player observed such clumping in a game in which the dealer seemed particularly sloppy about mixing the cards, could the player expect even a few tenths of a percent advantage over his random basic strategy expectation?

Also, Wong did not test the effects of “runs” of cards which appear when new decks are brought into the game. Dealing and pick-up procedures destroy these runs within one or two shuffles, but can a player exploit clumped cards by seeking out tables in which new decks have just been placed into the shoe?

In 1986, in a series of articles first published by Mason Malmuth in the Experts Blackjack Newsletter, Mason sought to answer some of these questions with his own computer simulation studies. Mason’s articles are currently available in an expanded format as a chapter in his book, Blackjack Essays (1988, Malmuth).

Mason was specifically looking for house and/or player biases caused by runs of cards in new deck order. Mason’s “nonrandom” shuffle consisted of four sloppy riffles and a random cut, with no boxing, stripping, washing, etc.

Mason’s riffles, to be sure, were truly sloppy. His dealer interleaved cards in equally likely runs of 1, 2, 3 or 4 cards. If the cards from one half of the deck finished riffling prior to the cards from the other half, the remainder were dropped on top in a clump, as a human dealer would do. Tests of professional dealers have shown that clumps of 4 cards rarely occur in a riffle, with 65% to 80% of the interleaved cards being single cards.

Furthermore, unlike Wong, who never started with cards in new deck order (ace to king, ace to king, king to ace, king to ace), Mason brought in new decks after every round of play. To Mason’s surprise, 500,000 hands of simulated play with these conditions showed the flat betting, basic strategy player losing at the rate of -1.21%, instead of breaking even, as expected, in this single-deck, Vegas Strip game. Therefore, Mason theorized that if the “runs” of cards were causing the house bias, then by looking at results in which these runs were shorter, he should be able to “create” a player bias.

Unfortunately, his attempts to do this were not highly successful. Although he did manage to find a player advantage of +.39% on one 500,000 hand run, all other attempts failed, producing no result significantly different from the random basic strategy expectation.

Mason concluded that “… these are some of the most confusing results I have ever looked at…” and, “… I was sure, at one time, that I had found a player bias, but now I wonder if I just looked at a statistical fluke…. The idea that a player can walk into a casino and look for certain characteristics that are highly correlated with a player bias in progress is just not an event that I believe can occur with more than a very small probability.”

Commenting on the dealer bias he had managed to create with his “non-random” sloppy riffles, he acknowledged that “… with a skilled professional dealer, this is probably most unlikely… The fact that brand new cards are being used is probably not enough of a reason to leave the game.”

Mason’s study indicated that new deck sequences may tend to affect the player’s expectation, but, alas, his data was inconclusive and was also confined to a single player in a single-deck game. Most of the streak-betting systems being sold for the purpose of exploiting the non-random shuffles tout their effectiveness for multiple-deck games with multiple players at the table.

Mason’s shuffle technique, sloppy as it was, also fairly effectively eliminated most of the new-deck sequences. His analysis showed that all of the decks he “created” contained between 32 and 35 sequences. This means that the deck with the shortest sequences had an average sequence length of 1.49 cards, while those with the longest sequences had an average sequence length of 1.63 cards. Not much difference.

In 1987, at the Seventh International Conference or Gambling and Risk Taking, Dr. John Gwynn, Jr., and I presented a 26-page paper titled: “Does Casino Blackjack Differ From Computer Simulated Black jack?” [Link at the left of this page.] This was the most comprehensive study of the effects of non-random shuffles on casino blackjack done to date.

Our initial plan was to simulate as closely as possible actual casino shuffle routines in both single and multiple-deck games. In order to accomplish this, we enlisted the aid of two other experts on the casino-dealt game. The common casino shuffle routines were provided by author Steve Forte. As stated in our paper: “Mr. Forte at one time owned and operated a professional casino dealing school in Las Vegas after having spent some years as a blackjack dealer, pit boss, and casino manager. In 1986, he personalIy surveyed all of the major casinos in Nevada; at this time he recorded each casino’s standard series of cuts, breaks, riffles, strips, discard procedures, etc., in an effort to devise various ‘shuffle tracking’ and ‘card location’ strategies.”

As a matter of fact, Steve knew more about exploiting non-random shuffles than any player I knew. He had spoken at length with me on various occasions describing some of his discoveries and and techniques. Note, however, that Steve had no faith in the “streak betting” systems which were being sold commercially. Shuffle tracking strategies are more related to card counting than betting systems, insofar as the shuffle-tracker is exploiting specific knowledge of the cards remaining to be dealt. Winning and losing “streaks” play no part in valid shuffle-tracking strategies — which, incidentally, are typically far more difficult to apply than card counting strategies. Tracking strategies often must be applied not only to specific casino shuffle routines but to specific dealers whose actions are sufficiently consistent from shuffle to shuffle.

Anthony Curtis also obtained empirical data from four professional Las Vegas dealers to determine how they broke a deck for a riffle and how well their riffling mixed the cards. His data showed that a professional dealer interleaves a single card 66% of the time, 2 cards 26% of the time, 3 cards 5% of the time, 4 cards 2% of the time, and 5 or more cards less than 1% of the time.

A previous empirical study of professional dealers published by Richard Epstein in his The Theory of Gambling and Statistical Logic, Second Edition (Academic Press, 1977) showed a more thorough mixture, with single cards interleaving 80% of the time, 2 cards 18% of the time, and 3 or more cards only 2% of the time.

Due to the enormity of the task of programming his computer to simulate all that we had initially hoped to simulate, Dr. Gwynn decided to start with 7 different shuffles in a single-deck game, in order to search for basic significant differences.

One was a random shuffle. One was no shuffle (just a random cut). One simulation used one “perfect riffle,” i.e., the deck was cut precisely into two equal halves, with 100% single-card interleavings. One used two perfect riffles. One used three imperfect riffles (mimicking casino riffles, a la Epstein). One used a riffle-strip-riffle-riffle routine (using the more common “thick” strip used in most Las Vegas casinos). And the last shuffle tested used a riffle-riffle-strip-riffle routine. The deck was dealt out 75%, playing Vegas Strip rules, the players flat betting and using basic strategy.

After 20+ million hands each, these were the player’s expectations per hand:

ShuffleExpectation
Random-.11
No shuffle+.61
1 Perf-.10
2 Perf-.19
R-R-R-.11
R-S-R-R-.11
R-S-R-R-.11

The most significant result shows a player expectation with no shuffling that is .72% greater than the player’s expectation with a random shuffle. This result indicates that, as with Wong’s 1983 no-shufle simulation study of the 6-deck Atlantic City game, the pick-up procedures in casino blackjack order the cards in a way that favors the player by about 3/4%.

The only other mathematically significant difference occurred with 2 perfect riffles. In this simulation, the player did .08% worse than with a random shuffle. This is fairly useless information since you’ll never find a casino dealer who employs this bizarre shuffle. All of the “casino style” shuffles showed no significant difference for the basic strategy player from what a totally random shuffle produced.

Thus, although it may be of significance to mathematicians that it takes seven riffles to randomize a single deck, Dr. Gwynn found no significant difference for the basic strategy blackjack player with only 3 imperfect riffles, in a 20+ million hand simulation.

Dr. Gwynn then tested many other theories of the non-random system proponents. Some “significant” differences between shuffles were discovered, for the most part in the non-casino style shuffles — i.e., no shuffle, one perfect riffle, and two perfect riffles. However, with all of the casino style shuffles, no player exploitable differences were found.

There were no significant differences in the frequency of wins, losses, and pushes. The per hand and per unit expectations for hands dealt with positive, negative and zero counts (using the High-Low Count) exhibited no significant differences. No correlations were discovered between the win/loss outcomes of consecutive decks.

In summary, Dr. Gwynn’s extensive computer simulations uncovered virtually nothing exploitable, nor of any significance whatsoever between the completely random shuffle and the imperfect, non-random, casino-style shuffles he mimicked. To be honest, some players were still not satisfied that there might not be something exploitable due to poor shuffling in the casino game.

As one Blackjack Forum reader put it: “Why did you limit your study to single-deck games? TARGET is being sold for multiple-deck games. Why did you limit your study to a single player at the table? Multiple players do have an effect on the clumping of the cards in the discard tray. Dealers in Atlantic City usually use only two riffles, surely imperfect, with no stripping, in order to shuffle 8 decks in a reasonable amount of time.

“Furthermore, you and Gwynn never introduced cards in new deck order. In real casinos, cards always start in new deck order. I would estimate that many shoes are only shuffled about 50 times between new decks. You do see small clumps of cards coming out in sequence right after new decks are brought into the game. What effect does this have? We still don’t known.”

In order to answer some of these questions, I recently ran a series of computer simulations using John Imming’s Real World Casino System Generator.

New Research on Non-Random Shuffles

I started with an 8-deck shoe, 6 decks dealt out. I put 7 players at the table, all flat-betting and playing basic strategy. After 100+ million hands (14.3 million hands per player), and a random shuffle, the players’ expectation was -.4 9%.

To test the effects of no shuffling, I set up the same game, but this time I mimicked Stanford Wong’s simulation of reshuffling once every 50 shoes. I input a thorough shuffle with fine riffling and stripping in order to “randomize” the deck every 50 shoes as Wong had done. My intent was not to mimmick an Atlantic City style shuffle, but to test the effects of not shuffling in a manner similar to Wong’s 1983 6-deck study. I then simulated 10 million hands each with I player, 3 players, 5 players, and 7 players at the table. These were my results, compared to the completely random 100 million hand simulation:

1 player (no shuf): +30%
3 players (no shuf): -.23%
5 players (no shuf): -.31%
7 players (no shuf): -.36%
7 players (random): -.49%

This data is consistent with Wong’s. It shows that the single player’s expectation was .79% greater when no shuffle was used between shoes, but that this advantage diminishes as more players are added to the table. Multiple players at the table appear to have a randomizing effect on the basic strategy player’s expectation.

Still, we would like to know the effect of a “poor” casino style shuffle, with cards in new deck order added at regular intervals. For this test, I introduced new decks every 50 shuffles. The decks were given one “gross wash.” Imming’s gross wash consists of picking up cards in new deck sequences of from I to 15 cards. The “average” run is 8 cards, and the dealer is just as likely to pick up a 15 card run as he is a 6 card run, as he is a 2 card run, etc. This orders the decks in a series of new-deck runs of varying length, but does not otherwise mix the cards.

After the gross wash, which was only performed every 50 shoes when new decks were entered into the game, the only shuffle routine I used between deals was one “gross riffle” and a random cut. A “gross riffle”consists of 50% 2-card drops, 37.5% 3-card drops, 6.25% 4-card drops, and 6.25% 5-card drops. No single card interleavings were performed. When the dealer finished dropping cards from one pack, the remaining cards from the other pack were dropped in a clump, as a human dealer would do, occasionally causing clumps greater than 5 cards.

Each of the eight decks was shuffled separately, then they were stacked on top of each other, with no attempt being made to intermix the various decks into various portions of the shoe. My intent here, again, was not to mimic an actual Atlantic City shuffle, but to search for the effects of a grossly inadequate shuffle, combined with multiple players at the table, with cards in new deck order, poorly washed, being introduced at frequent intervals.

Because I used only one gross riffle and a random cut as the entire shuffle routine between decks, the cards remained in long series of new-deck runs after the gross wash, and consistently retained sequences set up in the discard rack by the previous shoe’s play and pick-up procedures.

After 100 million hands, the flat-betting players’ advantage was -.45%, or .04% better than with a completely random shuffle. This result, though a “visible” difference of .04%, is not mathematically significant due to the fact that there are 7 players at the table. The insignificant difference indicates that even an incredibly poor wash and shuffle, for all practical purposes, randomizes a shoe game.

Some of the player advantage that we know accrues from the clumping of like valued cards may or may not still be present, but we would have to run a simulation of more than 100 million hands to find out. The potential gain, if there is any, would be measurable in hundredths of a percent at most. It’s useless information. Even if you could find a shuffle this poor in a casino game, it would not significantly alter your strategy or your long run expectation.

If you do observe cards coming out of a shoe in short runs and clumps following the introduction of new decks, the effect on your expectation is so minute as to be ignored. Contrary to current “myth,” however, this effect is more likely to be slightly advantageous rather than disadvantageous.

The next simulations I ran were to compare the effects of “streak betting” in the randomly shuffled game with the “gross wash/gross riffle” game. To do this, I set up the program to use a l-to-50 betting spread, doubling the bet after each win, halving the bet after each loss, and ignoring pushes.

A series of six wins caused the bets to raise from 1-2-4-8-16-32-50 units, and vice versa downward for a series of six losses. This betting progression is a very sensitive indicator of the possibilities of streak betting because the player will quickly go from a 1 to a 50 unit bet when any series of bets shows 6 more wins than losses. As long as his wins continue to equal or exceed his losses, he’ll remain near his top bet size. But just as quickly, he’ll go back down to a single unit bet when a similar series of losses exceeds wins.

Running this simulation for 100 million hands in the randomly shuffled game showed a player expectation of -.46%. This difference of +.03%, over the flat bet expectation, is not significant.

I then ran 100 million hands using the same streak betting system in the grossly shuffled game. The result was a player expectation of -.49%, again, no significant difference from the flat bettor’s basic strategy expectation. In both of the streak-betting simulations, the players’ average bets were 8.26 units.

Any Blackjack Forum readers who are concerned about whether or not the “non-random” casino shuffle alters your expectation, or if you are worried that it may take 7 shuffles to “randomize” the cards, note that in these 8-deck A.C. simulations, no significant difference to your expectation can be found, in 100-million-hand tests, between the random shuffle and a shuffle consisting of one gross riffle, even when poorly washed new decks are introduced every 50 shuffles.

It is worth noting here that a good shuffle-tracker could absolutely murder the grossly shuffled games. The Diaconis-Bayer riffle study would accurately identify the cards employed in this game as far from random. Our major concern, however, is that no “weird” order is imposed upon these poorly shuffled cards that alters the non-tracking players’ expectations, or that validates any otherwise futile “streak betting” system.

I will continue to advise my readers to put no faith whatsoever in streak-based systems. There is still no evidence to support such strategies.

PLAYER BY PLAYER SIMULATION RESULTS

(100 Million hands per simulation)
1-7 players, 8 decks, A.C. rules, 75% dealt, basic strategy

ShuffleBet SpreadPl 1Pl 2Pl 3Pl 4Pl 5Pl 6Pl 7Total
RandomFlat-.49-.51-.53-.48-.47-.47-.45-.49
Poorly Washed New Decks
Every 50 Shuffles;
One Gross Riffle
Flat-.43-.43-.41-.51-.48-.42-.48-.45
Random1-50 (streak)-.45-.50-.45-.44-.53-.42-.45-.46
Poorly Washed New Decks
Every 50 Shuffles;
One Gross Riffle
1-50 (streak)-.44-.50-.47-.47-.51-.54-.49-.49

I am currenty working with John Imming to set up a simulation program which can be used to test other non-random and casino-style shuffle effects. To be honest, we do not expect to find anything of value to the player, based on all of the work that has been done thus far searching for player exploitable effects from the non-random shuffle.

If any Blackjack Forum readers have suggestions for tests, shuffles, etc., we would certainly be open to considering any angles we may have overlooked. For now, my advice is to ignore the alleged effects of the non-random shuffle.

Note to players who want to use John Imming’s Real World Casino System Generator to perform their own “nonrandom” simulation tests: You should have no trouble reproducing my results if you input the same variables. Do note that the shuffle routines have limitations which may cause “bizarre” results.

We were baffled for some time by the fact that the basic strategy players’ expectations differ according to seating position, number of players at the table, and deck penetration, when the shuffle consists of only one wash on decks in new deck order. There are numerous reasons for this, however. Consider for instance, that with a single gross wash, both of the third base player’s cards will often be in “sequence” with the dealer’s cards.

Also, some of John Imming’s Real World Casino shuffle routines are theoretically “flawed.” His “washes” (fine and gross) are both more “gross” than you would ever find in a casino. Also, they more closely resemble very thick “strips” than washes.

John Imming has currently been hard at work at a new program which he calls the “Ultimate Blackjack Engine.” I have been testing various functions of this program which vastly expands the “real world” shuffle routines from totally random cuts to more random washes, to High Low stacking routines, more rule variations (including the over/under), etc.

“The Ultimate Blackjack Engine” is still in the testing and development phase, and at this time, John cannot estimate the date of availability, price, or even all of the features. Don’t bother asking! ♠

Posted on Leave a comment

Improve your Horserace Profits on Exactas and Quinellas

Getting More Bang for your Quinella Buck

by Dunbar
[From Blackjack Forum Vol. XXII #4, Winter 2002/03]
© 2002 Blackjack Forum

Imagine walking into a casino and seeing two side-by-side blackjack games that are identical except that one of them is offering a promotional 2-1 on naturals. Is there any question which game you would play?

Likewise, if you find two Jacks or Better video poker machines with the only difference being that one pays 9 coins for a full house and 6 for a flush, while the other pays 8 and 5, we know which is the better machine. If you are going to play, it’s an obvious decision where you sit down.

A similar opportunity occasionally presents itself to horse bettors, but the bettors very often make the wrong choice.

Some tracks offer quinella bets and exacta bets in the same race. (A quinella is a bet on two horses that wins when those two horses come in first and second, regardless of order. An exacta is a bet that wins when the two picked horses finish first and second in the exact order specified.)

Let’s say you want to make a quinella bet on Blazing Bishop and Flying Curtis. You could either bet the quinella, or you could make exacta bets for different amounts on the Blazing Bishop/Flying Curtis exacta and the Flying Curtis/Blazing Bishop exacta. If you bet the right proportions on each of the two exactas, you can make it so that you would profit the same amount no matter which exacta came in—in other words, you can make it look just like a quinella.

A bettor at the racetrack can look at the toteboard or video monitors to find out how much exactas and quinellas will likely pay, based on what has been bet so far. There will always be some uncertainty in the final payoffs due to last minute bets and off-track bets that are added to the pari-mutuel pools after the close of betting. But the projected payoffs displayed in the last couple of minutes of betting will usually be sufficient for the purpose of deciding whether to play the quinella or to create your own pseudo-quinella from exactas.

How to Decide Whether to Use Exactas Instead of a Quinella

It’s very easy to tell when it would better to use exactas to create your own quinella. Using the probable payoffs, you need only see if

Q/Ex + Q/Er < 1. the “Q-Test”

where

Q = the quinella payoff

Ex = the exacta payoff

Er = the reverse exacta payoff .

In other words, you divide the quinella payoff by each of the exacta payoffs and see if the sum is less than 1. Let’s call this the “Q-Test”. If the sum is greater than 1, then you are better off simply betting the quinella. But if the sum is less than 1, then you are better off using the exactas to create your own pseudo-quinella.

Definition: A pseudo-quinella is created when an exacta and its reverse are bet in such a way that a bettor would get the same net profit regardless of which exacta hits.

How Much to Bet on Each Exacta or Quinella

Okay, you might ask, if the Q-Test says I’m better off betting the exactas, how much should I bet on each exacta? Let’s say you want to bet $Z on a quinella. Then you should bet

$Z x Er/(Ex+Er) Eq. (2)

on the exacta that will pay Ex. Bet the remainder of your $Z on the reverse exacta.

Example: Ex= $10 and Er=$20, for $2 bets. Say you want to bet $60 on the quinella, and you have already used the Q-Test to determine that it is better to use exactas. According to Eq (2), you should bet

$60 x 20/(10+20) = $40 on the exacta that will pay $10, and

$60 – $40 = $20 on the exacta that will pay $20. Note that no matter which exacta comes in, your net profit would be the same, $140.

In the next section, I am going to show why the Q-Test works. If you don’t like algebra, you can jump right to the “Real World Examples” section.

Derivation of the Result

Here’s why Q/Ex + Q/Er = 1 is the breakeven point for deciding between the two ways to make a quinella bet.

Assume for the moment that Q, Ex, and Er are payoffs for a $1 bet. We can either bet $Z on a quinella bet, or we can divide our $Z into two exacta bets.

If we bet $Z on a quinella and it wins, our profit is (Z * Q) – Z.

Alternatively, we could bet $Z total on the exactas. We will bet Bx on the exacta that pays Ex and Br = Z-Bx on the exacta that pays Er. If the exacta paying Ex hits, our total profit will be:

Ex x Bx – Z.

If the reverse exacta hits, our total profit will be:

Er x (Z-Bx) – Z, because Br = Z-Bx.

If we want the same profit on each exacta, then we set those 2 payoffs equal to each other:

Ex x Bx – Z = Er x (Z-Bx) – Z.

Solving for Bx,

Bx = Z x Er/(Ex+Er) Eq. (3) This is the same as Eq. (2) above.

So, betting Bx on the exacta and Z-Bx on the exacta reverse will yield the same net profit, Bx x Ex – Z. The question is, how does this net profit compare to the profit on a winning quinella bet? We want to compare

Z x Q – Z (the quinella profit) to Bx x Ex –Z (the exacta profit)

If Z x Q – Z < Bx E– Z, then it is better to play the exactas.

Canceling the “-Z”s and substituting for Bx with Eq. (3), we get

Z x Q < Z x (Er/(Ex+Er)) x E, which reduces to

Q < (ExxEr)/(Ex+Er). Multiplying both sides by Ex+Er we get

Qx(Ex+Er)/(ExxEr) < 1. A little more multiplying and canceling brings

Q/Er + Q/Ex < 1, which is precisely the Q-Test. That is, we’ve shown that if Q/Er + Q/Ex < 1, then using the exactas will return more profit.

Real-World Examples

Is there much difference in the real world between the payoffs on the quinella and the pseudo-quinella? Santa Anita offered both quinellas and exactas on all its races on Sept 5. I used Youbet.com to compare the final payoffs on the winning quinella to what could have been collected by betting exactas.

As Table 1 shows, in six races there was little difference between the payoffs on the winning quinella and the pseudo-quinella. In the 10th race, the quinella was 22% better than a similar bet constructed from exactas. But in the 1st, 6th and 7th races, an extra 6%, 23%, and 12% was available to bettors who created a pseudo-quinella rather than bet the quinella. Taking advantage of this kind of opportunity can make the difference between a losing bettor and a winning bettor.


Table 1. Quinellas and Exactas on Oct. 5 at Santa Anita
RaceQExErQ-Test% Gain
117.0036.2035.400.956%
238.8085.6069.401.01-1%
320.2041.0041.400.982%
453.40104.80113.400.982%
58.2017.0015.401.01-2%
685.60196.60224.400.8223%
727.4081.8048.400.9012%
810.0015.8026.401.01-1%
9128.60214.80309.401.01-1%
10232.20435.60311.401.28-22%

Legend: Payoffs for the winning quinella, the winning exacta, and the exacta reverse are given in the first three columns to the right of the Race # column.

“Q-Test” refers to Q/Ex + Q/Er.

If Q-Test < 1, then exactas were better.

“% Gain” is how much more could be gained by using exactas to create a pseudo-quinella.


Let’s take a closer look at the 7th race. The quinella paid $27.40, the winning exacta paid $81.80, and the exacta reverse was between $48.00 and $48.80, so I use $48.40. Applying the Q-Test, we see:

27.40/81.80 + 27.40/48.40 = 0.90,

which is less than 1. So we know that the pseudo-quinella was superior to the quinella. If we wanted a $20 quinella-type bet, we should have bet $20 x 48.40/(48.40+81.80) = $7.40 on the exacta, and the remainder, $12.60, on the exacta reverse, producing a pseudo-quinella win of $302.60-$20=$282.60. This is 12% more than the quinella win, $274-$20=$254. Of course we would have rounded these bets to $7 and $13, or $8 and $12; in either case we would have won more than on the quinella.

Additional Comments

Whenever I have said “exactas are better” or “the quinella is better” in this article, I am speaking only of a bettor who is trying to make a quinella-type bet. If the bettor has a strong preference for a specified order for the 1st two horses, then that is a different matter.

An alternate form of the Q-Test would be to ask if ExxEr/(Ex+Er) > Q. The left side is the payoff on the pseudo-quinella.

Quinellas and exactas are offered in other pari-mutuel settings such as dog racing and jai alai. The pseudo-quinella method described here applies equally well to those situations.

There is an additional advantage of creating a pseudo-quinella. Exacta pools are generally much bigger than quinella pools. This means that a bettor can bet more into an exacta pool without affecting the payoff.

Summary

Exactas can sometimes be used to create a pseudo-quinella that will pay an extra 20% or more above the payoff for a quinella. The simple “Q-Test” uses the probable payoffs to determine whether the pseudo-quinella will pay more than the quinella. When the pseudo-quinella is better, Eq. (2) states how much to bet on each exacta. By selectively choosing either the quinella or the pseudo-quinella, it’s possible to get the maximum return on your quinella-type bets.

Acknowledgments

I first described some of these ideas in posts between Sept 25 and Oct 5, 2002 in the Racing Forum on Sharpsportsbetting.com. A post by Defenestrator was helpful in focusing my thoughts toward developing Eq. (2). Thanks also to Barry Meadow for a good discussion of some issues related to quinellas, especially the relative pool-size factor. Finally, thanks to “P” and Colin Caster for helpful comments on a draft. ♠

Posted on Leave a comment

Psychic Gambling Systems

Beating the Dealer with ESP!

by Arnold Snyder
(From Casino Player December 1993)
© Arnold Snyder 1993

Question from a Player:  Has there ever been a test of psychic abilities with regards to making gambling decisions? How would the casinos protect themselves against psychic gamblers?

I am not psychic myself but I have seen some pretty impressive demonstrations by psychics, especially one very gifted individual with whom I have discussed this idea at some length. I am considering forming a team with this gentleman to take on the casinos of the world, starting in Atlantic City. Would the Atlantic City casinos be allowed to prohibit us from playing for exhibiting psychic abilities under the current regulations?

The Good News: Atlantic City Casinos Cannot Bar Gamblers for Having Psychic Powers

Answer:  Is this a put on? Every few years it seems I get a letter asking about the use mental telepathy, or astrology, or numerology, or some other less than scientific approach, to beating the gaming tables. Though I make no personal claim to psychic talents, I prefer to take these queries at face value, give the questioner the benefit of the doubt, and assume the question is sincere.

The good news is that the Atlantic City casinos are not allowed to bar players for displays of psychic power! In fact, if it’s the possibility of being barred that most distresses you in this proposed venture, then you and your psychic sidekick should just stay put in Atlantic City, and forget the rest of the world.

Casinos in Nevada, and everywhere else that I know of except New Jersey, may bar players from their games pretty much at whim. In New Jersey, the Casino Control Commission requires casinos to allow all players who are playing according to the rules and regulations — provided they are not drunk and disorderly or otherwise a public nuisance — to gamble. The official rules and regulations do not define psychic decision making as a gaming violation.

You can thank the late Ken Uston for making Atlantic City’s gaming tables safe for psychics — though I’m sure he never intended to do this.

Questions to Ask Before You Invest In a Psychic

I have a couple questions for you, however:

One, why would any real psychic want to team up with you, since you admit you possess no such skills? Any player who could predict just the blackjack dealer’s hole card, or the next card to be dealt from the shoe, could quickly bankrupt any table he sat down at. Likewise, if he could predict the next roll of the dice, or where the roulette ball would fall. . . . A psychic doesn’t need a team. Donald Trump is no match for an honest-to-goodness psychic.

Two, don’t you find it just a little bit curious that no casino in the world has provisions for dealing with psychic threats to their coffers? Especially when you consider that no casino could survive if even a small handful of psychics were roaming the pits looking for action.

Wait. . . I know. . . your job in this “psychic team” deal is to supply the money, right? Am I right? (Am I psychic, or what?)

Quite frankly, if there is some self-styled psychic trying to convince you to “invest” in this get-rich-quick scam, wise up. And why didn’t this psychic wonder inform you in advance of my opinion on this matter?  ♠

Posted on Leave a comment

Dealers with ESP – Extremely Skilled Peeking

Psychic Blackjack Dealers

by Arnold Snyder
(Originally published in Casino Player , October 1996; revised for Blackjack Forum Online in 2012)
© 2012 Arnold Snyder

If you play blackjack professionally for thirty years, sooner or later you run into everything.

On occasion I’ve encountered a blackjack dealer with the uncanny ability to call card values before the card is exposed. Once at Mandalay Bay, a playing partner was pretending to hesitate before drawing a card and muttered something like, “I need a six.” The dealer said, “I can give you a four,” and out comes the four.

And once at the Flamingo a dealer made a face when I scratched the table for a hit, as if to say, “Don’t draw.” It was as if the dealer was trying to tell me she had a bust card, and what do you know–a ten came out. I didn’t think much of it until she repeated it a couple dozen times.

In my experience these “psychic” dealers are either extremely sympathetic toward players, or enjoy showing off their skill. Either way, they will call cards a lot during their shift at the table. In Las Vegas, this has only happened to me in handheld blackjack games, but I’ve heard of it happening to other pros in shoe games in the islands. (That’s a particularly bad sign, as it requires gaffed equipment, and suggests that cheating is official house policy, even if your dealer of the moment is helping you.)

On another session at the Flamingo, some years ago now, my wife and I had been losing badly for the entire shift of a female dealer. She was one of those dealers who really seem to care about players–she commiserated with us on every bust. Once she looked as if she would throw all the cards in the air after she made a 6-card 21. We were tipping (despite our losses, we had a high EV on the game) but we never felt that was the reason for her sympathy. She was just one of those really nice dealers you run into from time to time.

When her replacement came to tap her out (a male dealer of the same nationality of origin) I heard her say softly to him, “Be nice to these people. They were very good to me, and they’re losing.” He asked us how much we were down, and we told him. He then encouraged us to show him our hands as he was dealing, and he advised us on how to play them. We rarely lost a hand once we started following his advice.

Once we had come back up to a little over even, he said to us, “That was a very lucky run. It might be smart after a run like that to stop and lock in your profit.” We took his advice and left the table.

If you have run into such a dealer, you might be wondering how they do it. Are they guessing? Are they peeking?

Since in each of the cases described above, the dealers were “guessing” perfectly for an extended period of time, let’s eliminate pure luck as a probable cause in these cases, and consider the other possibilities.

Actual psychic ability is what comes to mind next. Is it conceivable that this dealer truly had paranormal powers? Skeptic that I am, I’d dismiss this possibility with little serious consideration. If, in fact, there are people who have such psychic abilities, would such a person be working as a blackjack dealer, using this phenomenal power like a silly parlor trick to entertain tourists? Seems pretty inconceivable to me. Scratch psychic power.

That leaves us with the one remaining possibility: “Were they peeking?” And, if the dealer has called the cards to this extent and level of accuracy, my answer is: “Yes, he was peeking.”

The next time you run into a dealer you’re suspicious of, here are some of the other signs that a dealer is peeking.

There’s always a move, after the dealer has positioned the next card for peaking, or in the course of positioning the card, where the dealer has to actually look at the next card. He has to physically turn the deck for just long enough to catch a glimpse of the index. This move is almost impossible to see–a pro will do it while adjusting the chips, or in the course of some other natural looking motion. Still, the dealer has to actually have an opportunity to peek to be doing it.

If you suspect the dealer of peeking to hurt you, what you’re really watching for is the dealer taking advantage of the peek by holding back the top card and dealing the second card from the top. This too is almost impossible to see, but signs of it would include, if the casino is quiet enough, a slight difference in the sound of how the cards are dealt.

Also, if a dealer should accidentally deal two cards from the top instead of one, that is a strong sign that a dealer is seconds dealing. It’s very hard to deal two cards at once unless you’re trying to deal seconds.

(We had a team member get dealt two cards this way in a California Indian casino by a dealer that had been brought in after the player had won a lot of money. Fortunately this player had the presence of mind to stop playing and call in for advice.)

Bill Zender tells a story in How to Detect Casino Cheating at Blackjack from when he was a gaming agent investigating a dealer suspected of peeking and dealing seconds. He and a fellow agent ordered beers, and made sure to dampen their fingertips with the condensation on the outside of the cans before handling their cards. When the dealer attempted to deal a second, that slight amount of dampness was enough to cause three or four cards at a time to come out.

Other tips from Zender: “Watch out when a dealer frequently fails to deal a card when attempting to do so…”

Also, if you’re playing in a handheld game where your cards are dealt face down, any dealer who seems to be continually trying to see your cards or is persistently asking about your hand might be a seconds dealer.  ♠

Posted on Leave a comment

Las Vegas Casino Surveillance Report Card 2005

Professional Players Rate the Las Vegas Casino Surveillance Departments

by the Blackjack Forum Online Moderators
© 2005 Blackjack Forum Online

[Editor’s note: The “inside” information in Las Vegas Casino Surveillance Report Card was compiled by The Vindicator and the Las Vegas Surveillance Mafia, a group of casino surveillance professionals. Other contributors to this report were full-time professional gamblers who have logged thousands of hours in Las Vegas casinos.

Players’ opinions of the game protection competence at any particular casino occasionally split along lines of their specialty or Griffin/C.V.I. status. One player said, “When it comes to spotting card counting, I think every place is too sharp.”

Disclaimer: All of the information in this chart was based on the observations and subjective opinions of individuals whose information may have been incomplete or inaccurate. Bear in mind that conditions within casino surveillance are constantly changing. As this report card was published in 2005, I’m posting this in the Blackjack History section as well as the Surveillance section. Some of the casinos reported on no longer exist and most have gone through many changes since 2005. Is it time to update? — Arnold Snyder]

The Professional Players’ Las Vegas Casino Surveillance Report Card
Griffin AgencyFacial Recog.Computer EvaluationCasinoC.V.I.Overall Rating and Comments
YesYesYesAladdinYesWill recognize anyone in Griffin pretty fast, and they have clearly read some books.
YesNoNoArizona Charlie’sYesSweaty rather than smart. Normal action is red to green and bigger action frightens them.
YesNoNoArizona Charlie’s EastYesNot too smart, but if they’re letting you play an aggressive count game, it may be a situation you can’t beat. Quick to flyer low rollers.
YesYesNoBally’s Las VegasYesSeparate surveillance from Paris. Some sharp and sweaty floormen, pretty lousy surveillance.
NoNoYesBarbary CoastNoFloor reacts to any bet spread. They certainly know what they know.
YesYesYesBellagioNoNice dealers, great restaurants (at Picasso, try the $20 scallop with the potato chip stuck in it), but the dumbest floor person we’ve ever encountered was in their high-limit room. They do have some sharp floor, but there’s the usual percentage of people who could only be there because of juice. Surveillance seems studious and book-learned. They make full use of their Griffin subscription and all the latest equipment but are overly focused on wins. We’re not afraid to play there.
NoNoNoBoardwalkNoNo comments at this time.
NoNoNoBoulder StationYesFloor is frightened, surveillance is helpless. Short sessions easy.
YesNoYesCaesarsYesThey can’t distinguish between a hole-card play and a cheating play, we know that for sure. Not as sweaty as it was under the management from AC, but if they get to look at you long enough, they will eventually recognize you.
NoNoNoCaliforniaNoSome decent floor, poor surveillance.
YesNoNoCanneryYesA good place to play.
NoNoNoCircus CircusNoLots of heat, but little fire.
NANoNoEl CortezNAMarginally better than Circus.
NoNoNoExcaliburNoSurveillance is helpless, a few floor think they know something.
NoNoNoFiesta HendersonNoParanoid, but helpless. Backing off players for winning.
NoNoNoFiesta RanchoNoMistrusts money.
NoNoNoFitzgerald’sNoHave fun!
YesNoNoFlamingo LVYesA grab bag. Some floor sweat wins, others have some perspective. They have caught a counter or two in the past. They have MindPlay tables, but they either don’t have the surveillance package or don’t know how to use it.
NoNoNoFour QueensNoMarginal surveillance, sweaty floor.
   Fremont Ha ha ha.
NoNoNoFrontierNoVery mixed reviews.
NoNoNoGold CoastNoAll the Coast foibles. Land of the paranoids!
NoNoNoGold SpikeNoDo they have a surveillance department?
NoNoNoGolden GateNoA surprisingly pleasant place with a good diner. Thumbs up for Golden Gate.
YesYesYesGolden NuggetYesWe agree with Vin: Was once a force to reckon with.
NoNoNoGreen Valley RanchYesThis place has some talent on board, which is probably why they don’t sweat action. Recently featured in TV series; game protection is at its best when the television cameras are rolling.
NoYesYesHard RockYesSurveillance has a checklist, and they think they know what they’re doing.
YesNoNoHarrah’s LVNoMixed reviews. They do use their Griffin subscription.
YesNoNoHorseshoeNoTime to take another look.
NoNoNoImperial PalaceNoThey’re more likely to catch you walking through than actually playing. Some sweaty floor.
NoNoNoKlondikeNoDoes anyone play here?
YesNoYesLady LuckNoPlayable until you’ve let them record a few wins.
NANoNoLas Vegas ClubNAFloor and surveillance are semi-sharp (El Cortez level).
YesNoYesLV HiltonYesPlayer friendly.
NoNoNoLuxorNoHelpless eye, frightened floor.
NoNoNoMain Street StationNoCompletely mixed reviews from players.
NoNoYesMandalay BayNoThey can’t watch everyone. They do pay attention to your win/loss record, and a series of wins will trigger a Survey Voice. Security is a bunch of Harry Callahans.
YesYesYesMGMYesPretty sharp, but big. Surveillance won’t see you without a call from the pit. They do run Survey Voice once your action hits around $500/hand (and will run it more than once), but anything under $1k looks small to them.
YesYesYesMirageNoConscientious, but big. Stay away when not crowded.
NoNoNoMonte CarloYesEasier lately.
YesYesYesNew York New YorkYesVery mixed reviews from players. Worth another look.
NoNoNoOrleansYesCoast owned. Some smart sweaty floor who know what they know. Surveillance is busy zooming in on girls.
NoNoNoPalace StationNoTakes green action well. Used to be sharper. Always small minded: they never know what anyone’s doing, but if you’re betting black, you must be a pro.
YesYesYesPalmsYesSurveillance watches the high-limit double deck first. They do make use of their Griffin subscription sooner or later, including at CTR time. Day shift relies on sending down “Coach” to intimidate you.
YesNoNoParisNoSeparate surveillance from Bally’s. Very mixed reviews from players. Some sharp floormen.
NANoNoPlazaNASome floor sharp, some just sweaty. Okay surveillance.
YesYesYesRioNoBig.
NoNoNoRivieraYesMarginally good surveillance. Old mean floor.
NoNoNoSaharaYesCan’t find anyone who feels like playing here.
NoNoNoSam’s TownNoThere’s a rumor they caught somebody once.
NoNoNoSanta Fe StationNoSharp surveillance on swing. Will recognize those in Biometrica.
YesYesYesStardustYesReviews wins and will back off on return. Long memory for backoffs. Even some floor are well-informed. We have to say, one of the sharpest in town.
YesYesYesStratosphereYesWhat a waste of a spinning restaurant! All they know how to do is sweat action.
NoNoNoSuncoastNoCoast group. A couple sharp floor who know what they know.
NoNoNoSunset StationNoTakes action well in high limit room.
NoNoNoTerrible’sNoMore paranoia than knowledge.
YesNoNoTexas StationYesCan be sweaty. Some sharp dealers. We have heard of a guy who got tossed here.
YesYesYesTreasure IslandYesCareful and diligent.
NoNoYesTropicanaYesMore sweaty than knowledgeable.
NoNoNoTuscanyNoA limited play. Not very knowledgeable, but some good memory on the floor. Paranoid of big action.
YesYesYesVenetianNoFancy but sweaty. They definitely pay attention to flyers. They want to know their big players, and prefer their mobster clientele. Wins scare them. Overall, more suspicious than actually knowledgeable or smart.
NANoNoWesternNAYes, we’ll go anywhere there’s money. Used to be a complete joke, now only a partial joke.
   Westin Casuarina Anyone??? We do know that it’s possible to get bounced here.
NoNoNoWestward HoNoHa ha ha.
NoNoNoWild Wild WestNoSurveillance seems to understand its limitations, and will call Stations for big action. ♠

Posted on Leave a comment

Beat the Lotteries!

State Lotteries: For the Pros and the Poor

by Arnold Snyder
(From Blackjack Forum, September 1987)
© 1987 Arnold Snyder

[Note from Arnold Snyder: There is such a thing as a professional lottery player, but there are only a handful on the Earth, and they have bankrolls the size of Warren Buffett’s, because that’s what it would take to survive the variance if you go seriously after lottery jackpots. To understand how professional gamblers beat lotteries, see below.

But this article is also a response to the emails I get every month from people who, it is clear to me, have a gambling problem, and are using card counting or poker or the lottery as an excuse to feed this addiction.]

It’s time once again for my more or less annual sermon addressing the compulsive gamblers among my readership. Since you really can’t help yourselves, since you must place your money into action, I’m more than willing to help you delude yourselves into believing that flushing your bank accounts down the casino toilets is intelligent, socially relevant, and a truly religious experience. And I charge very little for my consulting services.

Since the State of California institutionalized their usurious lottery a couple of years ago (50% house edge, like lotteries everywhere), the Golden State has been unwittingly providing me with an invaluable education in the lowdown, sleazy tactics of pushers who supply gambling addicts with an excuse for indulging in their drug of choice. A recent front-page article in the San Francisco Chronicle revealed that nearly half of the lottery tickets sold in my beloved home state are being purchased by the same small percentage of buyers, who incidentally happen to reside in the depressed big city ghettos, with little education and poverty-level incomes.

An official spokesperson for the lottery commission stated that these high volume ticket buyers fall into two classifications — “compulsive gamblers” and “professional gamblers.”

I like that. Professional lottery players. That there is no logical approach to obtaining an advantage at this game that does not require a bankroll of $100 million+ does not stop the state from announcing on the front page of the daily papers that certain individuals whom demographics would lead us to categorize as poor and uneducated, are in fact a new breed of urban professional. Perhaps, it won’t be long before our states universities begin offering classes like Big Spin 101, so that some of the more educated among us, who don’t currently buy lottery tickets, can obtain a Bachelor of Lotto degree.

Real Professional Lottery Players

It’s true that professional lottery players do, in fact, exist. They operate by finding lotteries whose jackpot payouts have surpassed the odds against winning, due to no players having hit the jackpot on numerous previous games. These international teams, as mentioned, generally maintain $100 million bankrolls, because they must purchase all of the combinations of numbers for the next game in order to assure themselves a win.

Even then, they often lose money, as they frequently have to share the win with other lucky player(s). If you are not maintaining a $100 million bankroll, and purchasing all number combos in lotteries with positive expectations only, you are not a professional lottery player. These teams, by the way, have been banned in some states and countries.

Frankly, I doubt that the more educated citizens of this state (or any state) will buy that “professional gambler” concept when it comes to lotteries. That’s why I’m here. Since professional blackjack players really do exist, this game provides a natural excuse for the intelligent compulsive gambler. It doesn’t matter that you’re constantly over betting your bankroll as you steam to recoup your never-ending losses. You’re a card counter! The few! The proud! The broke!

“What If Your Numbers Came Up Without You?” This warning screams at us from hundreds of Lotto billboards plastered along the state’s highways. Of course, the lottery officials didn’t invent this slogan. Bookies and numbers runners have been using it on ignorant suckers for decades. Sure, everyone’s got “lucky numbers.” God assigns them at birth. Once you’ve figured out yours, you’re a fool if you don’t bet on them.

Does it violate the constitutional dictum that separates church and state for the state to foster unfounded superstitious nonsense in order to con its more gullible citizens into wagering on a state run “game” that assures the state a 50% advantage over the players?

Of course not. No respectable organized religion would adhere to faith in lucky numbers. It’s only the uneducated dolts who buy this concept in the first place. And they don’t know the constitution from constipation. They’re already signing over their social security checks to glittering televangelists who promise prosperity with salvation. So, why shouldn’t they toss a few of those superstitious bucks towards the state of California?

Are you too intelligent to buy that? Yet you’re still a compulsive gambler? That’s why I’m here. It doesn’t matter how educated or intellectually aware you are, if you’re a compulsive gambler, you’re superstitious. Card counting again provides the perfect thinking man’s cover. Now you can attribute your hot streaks and cold streaks to “the count,” or “standard deviation,” or “expected negative fluctuation,” or scores of other built-in, intelligent-sounding concepts. Ignore the fact that your mortgage is about to be foreclosed upon. Hit the tables! You’re another Ken Uston! A culture hero! David vs. Goliath! Just don’t mention to anyone that you’re wearing your lucky shirt. . . .

Besides, gambling is socially relevant. All of the California lotto tickets are imprinted with catchy little phrases like, “It’s a good feeling for a lot of good reasons,” and “Our schools win too!” (I’m serious!) You’re gambling directly contributes to the welfare of the underprivileged. Think of it as a donation to needy children.

Blackjack is even more socially relevant than any lottery. Look at how the Atlantic City casinos have lived up to their promise and given that city a new lease on life. Prior to the casino presence, the whole town was a depressing, hopeless slum. Now, it’s a depressing slum with casinos! And no longer hopeless! Now, when the unemployed slum dwellers need money, they don’t just wallow in self-pity. There are well-heeled drunks just around the corner, waiting to be rolled! And the illicit drug market has boomed! Suddenly there are tourists who can afford cocaine!

No longer are we blackjack gurus simply competing with mathematicians and computer programmers with Xerox machines as we attempt to tap into that lucrative compulsive gambling market. Now we’re competing with state governments all across this land, as lotteries take over the country!

I’m not going to sit still for this lottery scam! Blackjack is a far more intelligent way to waste your money and feed your addiction. It provides solid excuses for every embarrassing binge, all backed up by impressive scholarly research.

Lottery players are fools! Amateurs! Superstitious and ignorant cretins!

As a card counter, you’ll never be categorized with those lowlifes! Sure you’re a gambler, a risk taker, a man of action! Sure, you’re a compulsive gambler! Go ahead, admit it! The important thing is that you’re not an amateur. You’re a professional compulsive gambler. And that makes all the difference in the world. ♠