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Paying to Avoid Royal Flushes

Assume you are a 5-coin dollar player playing 9/6 Jacks or Better and are dealt 3♠ A♥ K♥ T♥ 5♥.  The only two plays to consider are holding three hearts to the royal flush and holding all four hearts.

If we check out EV, we find holding three hearts is worth $6.43 and holding four is worth $6.38. That nickel’s worth of EV has always been too much for me to ignore and I go for the royal every time.

BUT, I file as a professional player and get lots of W-2Gs. Let’s say you don’t get a lot of W-2Gs. In that case, each one that you do get has some serious tax consequences. What if you held the four hearts in order to prevent the W-2G?

Once every 1,081 times on average, AKT turns into a royal flush. If you gave up a nickel each of those 1,081 times and ended up getting one fewer royal flush, it would cost you $55 (rounding slightly).

This is probably not too high a price to pay because a $4,000 royal has far more than $55 worth of tax consequences.

AKT (and AQT and AJT) are the weakest 3-card royal flush draws for two separate reasons. First, the presence of the ace eliminates all straight flush possibilities and reduces straight possibilities. Second, the presence of a ten reduces the chances for a high pair.

If we compared the preceding hand to 3♦ A♣ K♣ J♣ 5♣, holding this 3-card royal flush is better than the 4-card flush by a little more than 17¢ and avoiding the $4,000 royal flush over 1,081 opportunities will cost you $185. That’s quite a bit more than the $55 we were talking about earlier.

Going for the flush from 3♥ K♠ Q♠ T♠ 5♠ costs us $683 over the 1,081 draws, and from 3♣ K♦ Q♦ J♦ 5♦, it sets you back $770. Finally, from 3♠ Q♥ J♥ T♥ 5♥ you’ll lose a whopping $1,095 over the 1,081 hands by going for the flush every time.

So where do you draw the line? I’m not sure. I go for the 3-card royal on all of these hands. You’re going to have to decide for yourself what avoiding a W-2G is worth.

Other factors: If it were a multiple point day and/or there was another juicy promotion which gave me a considerable advantage playing this game, I would be more inclined to go for the flush. After all, time is money and it could easily take 5-20 minutes to be paid.

If I were playing in a state where royals were penalized (say Mississippi which has a 3% non-refundable tax on W-2Gs), that would make going for the flush mandatory in our first example and a closer play in the others.

If I were playing near the limit of my bankroll — either actual or psychological — I would tend to go for the flush, which is a play with a much lower variance.

On the first hand, you get skunked about 70% of the time going for the royal and “only” 68% of the time going for the flush.  If I were someone for whom today’s score mattered, I might go for the flush.   I certainly don’t recommend that you worry about today’s score, but some players just can’t help themselves.

This wouldn’t happen to me because I don’t do this, but if you were picking up someone else’s free-play and a royal flush would be awkward and you insisted on playing dollars anyway because you were in a hurry, I would go for the flush every time on these hands.

There are other hands in this game and every other game where it could make sense to avoid the possibility of a royal flush if it could be done at a low cost. But you should look at them one-at-a-time BEFORE YOU PLAY so you know which “inferior” plays are cost-effective. Trying to figure it out at the machine is very difficult. It’s easy to over-compensate when you’re doing this without study beforehand.

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A Good Game Gone for About Five Years

Someone posted a picture of a $50,000 royal flush on wizardofvegas.com and that brought back memories. Although this particular jackpot was hit by someone else, I’ve had more than my share.

The game was called “Deuces Plus” and was a 10/4/4 version of Deuces Bonus with a 1000-for-1 royal flush. They were available at fewer than ten 15-machine bars in the Gambler’s Bonus system on the east side of the Las Vegas valley. Village Pub (more than one store), Rae’s, Doc Holliday’s, Franklin’s (which changed names several times), and maybe a few others. Not only was the game 100.35% by itself, these places had 0.10% or 0.20% slot clubs and pretty juicy bonuses. The bonuses were cash (up to $500 for hitting a royal flush on graveyard at one place), “points” (you’d get 20-coin to 50-coin bonuses for various things like four 3s, or maybe a full house including all royal cards, or whatever), and sometimes other things (like “squares” in an upcoming Monday Night Football game where winners got $100 or $500).

Plus, big players always were eligible to get two meals to go. These were 10-coin machines, up to $5, so a $50 bet could turn into $50,000. I hit more than 20 of these jackpots before eventually being 86’d from everywhere they were dealt. Some months later, the pay schedules were no longer offered anywhere.

One of the irritating things about the system back then was that you could download only $100 worth of points (i.e., accumulated free-play) per midnight-to-midnight 24-hour period. Even showing up at 11:45 p.m. and then downloading for “today” and then a few minutes later for “tomorrow” didn’t solve the problem because you easily could re-generate more than you downloaded if you played for several hours and/or hit some of the bonuses. I played on both my card and my wife’s card so I could get $200 before and $200 after midnight, but still I had several thousands of dollars of free play to download when I finally had no good-game places to play.

I ended up playing off $400 per trip at Gambler’s Bonus locations without the good games. It took a while, but downloading $400 “free money” per trip (even played on 98% games) made it worthwhile. Leaving the house at 11:30 p.m. wasn’t the most convenient, but you do what you have to do. Being “irritated” doesn’t sound like the right word to outsiders because, after all, it was a very juicy game and we were making bunches of money, but it certainly wasn’t as player-friendly as we would have liked.

This was before I had an iPhone, consequently I don’t have any pictures — so I “borrowed” the pictures shown below. Four deuces with an ace ($20,000), which occurred slightly more often than a royal, would have been worth a picture too. Maybe even the $10,000 “regular” four deuces shown below — again hit by somebody else — but I easily had more than 50 of them.

In one case I was dealt a royal flush — and had to hold the buttons because the (then) 30-year-old technology on the machines didn’t have auto-hold on royals. It took 20 or so minutes to be paid as the bars didn’t have that much cash on hand and drivers would come out and deliver the money. I know they paid you for $4,000 “five aces” jackpots from an on-property cash dispenser and had to call out for $10,000 “four deuces” jackpots. Whether the actual cutoff was at $5,000 or $10,000 I don’t know because the game I played never hit in that range.

When they had to bring in money from the outside, they paid you in $5,000 “straps.” One bartender liked to put the money into food take-out boxes as a form of disguise. One night I came home at about 4 a.m. and left the box containing $50,000 in the bathroom sink at home when I went to bed. My wife initially cursed me for leaving food un-refrigerated but screamed in delight when she finally opened the box to see what food I had brought home.

During one 18-month period, I probably was playing 20-30 hours a week on this game, mostly after midnight, spread out over as many locations as I was welcome — averaging about $250/hour profit throughout that period. Although the machines were old, I ran well for the entire time and did better than expectations said I should.

I generally do not tip very well on jackpots. At these places it was different. An 8-hour “shift” would give me an EV of about $2,000 every night — in front of the same bartenders over and over again. Tips in the range of $50 per night if I lost, or $100 if I won, and more than that if I hit for $20,000 or more, felt about right to me. I wanted the bartenders on my side as much as possible when the discussions came as to who should be kicked out.

Another idiosyncrasy of these machines was that if you hit a hand-pay, any points you had accumulated since the last time you pulled your card disappeared. Since this included wild royals ($1,250) and higher, you’d hit one of these taxables every 375 hands on average. The cards were “virtual” — meaning you had to enter your 6-10 digit account number and password on a keypad to go through the log-in process, unless you mis-keyed and then it would take maybe another 30 seconds to log off and log back on again. I used the rule of thumb that if I had earned $20 worth of points since the last time I logged out, it was time to do it again. That way I never lost too much due to this idiosyncrasy nor did I waste too much time logging off and on. It was a “compromise.” These points were valuable, but the rest of the play was more valuable.

If you want to criticize/condemn me for helping to burn out the game — knock yourself out. I plead guilty. I certainly was one of the people who did this. If I found this opportunity again, I very likely would play it the same way.  (And many would criticize/condemn me again.) You only get so many chances at such an opportunity. You know it’s going to end eventually. You know others are out there doing the same thing. You simply have to get while the getting is good.

A year or so after the play ended, I was in one of these places playing another promotion that was pretty good. Not $250/hour good, but pretty good. The manager (who knew exactly who I was) told me someone was talking about bringing back the old Deuces Plus game for high stakes somewhere and wanted a lot of action. Was I interested and could I help spread the word among other big players?

Yes and yes.

Then I thought some more about it. I speculated that this was going to be some kind of money laundering deal for whoever the owner would be. Even giving up 1.5% or so to the players (it would be less than that as there would be a lot of “normal” players as well who lost — but probably 75% of the coin-in on the $50-per-hand games was from knowledgeable players), he could still launder his money fairly cheaply. Assuming people who needed to launder money could very well be related to the mafia or maybe a drug cartel, I wondered if doing too well could be dangerous to my life expectancy. I was second-guessing my “yes and yes.” Well, it never happened so it’s all speculation on my part. It’s possible there was nothing shady about it at all — but in that case I couldn’t figure out how the owner could possibly be making money with this business plan.

I currently don’t have any plays this lucrative on an ongoing basis — although three times in the past two years I found such a game on a short-term basis. Players regularly complain that the games aren’t as good as they used to be. That is true, but this particular game lasted two years or so and ended only about five years ago, not 15 or 20. While some players knew about it, there were a lot of pros in Las Vegas who didn’t. (Even out-of-towners could have played while they were here. A $250 per hour play was likely more lucrative than their other options here. But for whatever reason, the play was kept reasonably quiet.)

It is not unreasonable to expect plays this juicy in the future. You just have to search for them, recognize them for what they are when you find them, learn the requisite strategy, and then play them for as much as you can afford for as long as they last. If “normal” video poker software won’t tell you how to play the game, you need to do your own programming or have a good programmer on call or on retainer.

Preserving your bankroll for special opportunities like this, which you may or may not find during your gambling career, is a form of “keeping your powder dry” for when you need it. Playing less than 100% games just because you can’t find anything better at the moment is the opposite of keeping your powder dry.

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You’re Not Ready Yet

Immediately after one of my classes at the South Point, a man, “Joe,” came up to me and asked if I would mentor him in becoming a professional video poker player. He told me he had plenty of bankroll and wanted to turbocharge his learning process. He had heard that I would do private consulting for $250 an hour with a two-hour minimum and that did not present a problem for him.

I had another engagement after class, so we scheduled a lunch date for the near future. Although I have food comps at casinos, I preferred having the conversation at a local Applebee’s where the chances of being overheard by other players was far less. I don’t pay retail for food in Vegas very often, but this was one of those times.

In the time before I met with Joe, I tried to figure out what kind of person I would be willing to mentor. Assuming he had the bankroll, I figured the main criteria were:

a. His personality was acceptable to me. This isn’t a particularly high bar to cross, but there are a few people I just don’t enjoy hanging out with. I didn’t want a long-term relationship with somebody like that.

b. He was smart enough. Video poker is applied math. Not everybody is capable of learning it at a high level.

c. He had some history of success at the game and could study on his own. When I’m consulting with somebody two hours at a time, I don’t really care how good they are when they come to me. I’ll spend the two hours doing my best to improve their skill and knowledge level. But a mentoring relationship is a longer-term affair and spending dozens of hours while moving somebody from beginner to intermediate isn’t how I want to spend my time.

Okay. After Joe and I ordered lunch, I asked him where he lived and how he got his bankroll. I had spoken to Joe a few times previously and he passed the personality test, such as it is. He had sent me a number of emails over the past few years with questions and/or suggestions for the Gambling with an Edge radio show. These emails led me to believe he was smart enough to succeed at this.

Joe told me he was 49 years old, lived on the East Coast, and had recently inherited more than $2 million. He planned to retire from the Air Force Reserve in a few months and was looking at how he wanted to spend the rest of his life.

Joe had listened to a number of the radio shows and it really sounded like I enjoyed my life more than he enjoyed his. Plus, he had read my Million Dollar Video Poker autobiography and was fascinated with the life of a gambler. He decided he wanted to invest a portion of his inheritance, maybe $200,000, to see if he had the aptitude to maybe be the next Bob Dancer.

I asked him how many of the Winner’s Guides he had closely studied. He told me he had purchased a set but had yet to open them up. I asked him how much time he had spent with a computer program such as Video Poker for Winners. He told me he hadn’t purchased a copy of that yet but it was next on his list.

I told him he wasn’t ready for mentoring yet. In the next six months, I suggested he learn two games at the professional level — perhaps Jacks or Better and NSU Deuces Wild. Using the Winner’s Guides and the software, this wasn’t such a formidable task. But neither was it a trivial one.

Then, I wanted him to spend at least two weeks straight in Las Vegas or another casino city gambling 30 hours a week. At the end of that, if he still wanted me to mentor him, he knew how to get in touch with me. I would give him a test on the two games, and if he knew the games at a high level, we could revisit the mentoring idea.

Joe was in love with the idea of being a gambler, but he hadn’t had any actual experience. It’s hard work to get to the professional level at one game — let alone two. Playing 60 hours will turn out to be a boring experience for many people.

Video poker is a grind-it-out affair. It’s one thing to be fascinated by what appears to be a glamorous life. It’s another thing entirely to go through the process of getting good at some games and then successfully playing those games for 60 hours without going totally bonkers.

Can Joe do this?

I don’t know. If he can’t, he was never going to be a success at gambling anyway. If he can master two games and still be interested in being mentored after some real-life experience, then at least he will be going into this with his eyes wide open rather than looking through the rose-colored glasses he seems to be wearing today.

On one of our radio shows, Richard Munchkin told us that he periodically gets these kinds of requests from people wishing to learn blackjack. Richard tells them to learn basic strategy completely for four different games — i.e. with or without standing on soft 17 and with or without the ability to double after splitting. Once they know all four of these basic strategies, come back and see him again.

Richard tells me he’s never had somebody come back to him with these four strategies memorized.

I guess Richard’s experience influenced how I dealt with Joe. The task I gave Joe is more difficult than learning four basic strategies — each of which is more than 90% identical with the others. Jacks or Better and Deuces Wild are games very different from each other.

Still, if Joe passes this test, he’ll be a worthy student and I won’t mind at all working with him.

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Why Did You Print the Wrong Information?

I received an email from a player who told me that he found an error in Dream Card. I was definitely interested. If I verified that it was an error, I would send the information along to the folks at IGT (who manufacture the game), videopoker.com (who invented the game), and the player community. Whether IGT and videopoker.com chose to “fix” the problem in their next release would be up to them, but even if they did, older versions might still be out there and players should be warned about it.

Please note that this falls into the realm of “hearsay.” I didn’t see the error, and the man who told me about it said it happened to his son. There’s plenty of room in there for some misunderstanding to have taken place. Still, the situation is interesting on a couple of different levels which makes it worth talking about.

Curiously, I came away concluding that yes, there may have been an error with Dream Card in this situation, but it wasn’t the error I got the email about!

Here’s the situation. The player was playing 9/6 Jacks or Better Dream Card. Dream Card moves a 99.54% game to 99.56% — with a much bigger variance.

The dealt hand was A♠ K♠ Q♠ Q♦ DC, where DC indicates a Dream Card which is supposed to be the best possible card given the first four. The machine chose the T♠, giving the player a 4-card royal flush. The player wanted the Dream Card to be another queen, giving him 3-of-a-kind.

I told him that a 4-card royal was much superior to a 3-of-a-kind. I suggested he enter the hand A♠ K♠ Q♠ Q♦ T♠ on Video Poker for Winners and see that the 4-card royal is worth 92.34 coins. Then if he entered the hand A♠ K♠ Q♠ Q♦ Q♣, he would see the value of the trip queens is 21.51. If the reader hasn’t gone through the exercise of checking the value of combinations using VPW or other quality software, it’s an educational process to go through. It’s not difficult and it is eye-opening.

“So,” I asked, “why on earth would you prefer 3-of-a-kind to a 4-card royal flush? It’s not close!”

“Well, my son uses the Dancer-Daily strategy card and that card says 3-of-a-kind is better. If it isn’t better, why did you print the wrong information?”

Hmm, this could be embarrassing. I do have a good explanation for that but I can see where the confusion arose. The first two lines in both the Basic Strategy and the Advanced Strategy for that game are as follows:

 

RF5; SF5; 4-OF-A-KIND; FULL HOUSE; 3-OF-A-KIND; TWO PAIR

RF4 > FL5 and ST5 > any SF4

 

The top line of the strategy lists all hands in that game that are always held when dealt — with no exceptions. This list of hands is not the same for all games. There are games where from AAA44 or AA339 you just hold the aces, but Jacks or Better isn’t one of those games.

The second line lists those cases where a 4-card royal flush or a 4-card straight flush is in the same five cards as a dealt flush or a dealt straight. That is, from A♦ K♦ Q♦ J♦ T♣ you hold just the diamonds, but from Q♦ J♦ T♦ 9♦ 8♣ you hold all five cards.

A key underlying assumption for the strategy cards is that the combinations listed on the first line of the card are mutually exclusive with the combinations listed on the second line of the card. That is, you can’t have 3-of-a-kind and a 4-card royal in the same five cards. It takes at least seven cards to have both combinations.

I suppose technically you could argue the hand A♥ K♥ Q♥ J♥ T♥ is on the first line of the card, and any four cards from that combination are also on the second line of the card — hence the lines are not completely mutually exclusive.  But anyone who has trouble figuring how to play a dealt royal has no chance to understand my writings anyway.

If combinations are mutually exclusive, it doesn’t matter which order you list them in. Liam W. Daily and I recognized that using this underlying assumption allowed us to give completely accurate strategies with fewer rules. And we saw that as a good thing.

When you introduce the concept of Dream Card and you’re considering among alternative fifth cards, we can no longer hold with the assumption of mutual exclusivity while playing that version.

Simply put, the Dancer-Daily strategy card was designed for the “regular” version of Jacks or Better, not the Dream Card version. Since the machine almost always selects the correct Dream Card, you can continue to use the strategy card for the hands where Dream Card is not in effect.

With all that said, while the T♠ would be a much better choice than the Q♣ given the first four cards, the J♠ would be better still, simply because a jack presents three extra chances to end up with a high pair (namely the other three jacks) and a ten gives you no such chances.

Possibly the machine actually gave the correct card and there was a mix-up in the way the situation was presented to me. I assume IGT and videopoker.com can check on that easily enough. But whether there was or wasn’t an error, a discussion on an underlying assumption of the strategy card made this a conversation worth having.

Posted on 14 Comments

Which is More Believable?

I recently read the book Fluke by Joseph Mazur. This book looks at some improbably real “coincidences” and helps us understand the math behind what happened.

Like somebody who writes that she hit a royal flush on the first hand she played two days in a row and wants to know, “What are the odds on that?” Mazur correctly points out that there’s a huge difference between looking at how often that happens to someone anywhere and how likely it was to happen to Mary Smith on December 12 and 13 in 2015? Hugely different problems and Mazur does well to explain that.

If you’ve ever been amazed by that day in 2004 when you ran into somebody you hadn’t seen in 30 years — and you and he both just happened to be in a small café in Turkey at the same time — then this book will help you understand that it wasn’t as flukish as you thought.

One case Mazur covers, however, is Joan Ginther, who won the Texas lottery at least four times over 18 years. Although I accept that Mazur’s mathematical talents in this area are far beyond mine, this is a situation that, in my opinion, Mazur misanalyzes.

Mazur goes through the probability of anybody picking a winning lottery number — and he focuses on the type where you pick six numbers. He goes through the math of winning several times, the number of people playing, the number of lotteries there are in the United States, and concludes that it’s not that unrealistic to expect someone winning four or more times.

He also duly notes that the actual winner, Joan Ginther, has a Ph.D. in mathematics from Stanford University and possibly figured out some way to boost the odds in her favor. He mentions this and then ignores it.

I think Ginther’s background and intelligence are the crux of the matter.

Without precisely ranking Stanford among the elite universities of the world, I’m going to posit without proof that it’s on that list somewhere and that Ph.D.s in mathematics from that university typically have genius-level intelligence with a great facility at numbers.

Further, according to reports in several publications, Ginther’s wins weren’t on lottery tickets where you pick six numbers. Ginther’s wins were on scratchers, which is totally different animal. On a scratcher, some numbers on a grid are already exposed when you buy the ticket. It’s very possible that Ginther used this pre-printed information to decide which lottery tickets to buy. If so, the odds against her were significantly different than what they would be for someone who picked the cards blindly.

This type of advantage was discussed by Mohan Srivastava in https://www.wired.com/2011/01/ff_lottery/.  When Srivastava was a guest on our Gambling with an Edge radio show, he said he didn’t know the details of Ginther’s wins, but based on the analysis by a journalist named Peter Mucha, Srivastava speculated that Ginther used methods related to ticket distribution to win. (Listen here) If you like that podcast, Srivastava was on our show earlier (found here) where he went more into the basics of beating the lottery, but only mentioned the Joan Ginther case in passing.

Mathematicians (and video poker players, for that matter) tend to be better than average at “pattern recognition.” I can’t quantify this, but it does seem to lend more credence to the possibility that perhaps Ginther noticed and exploited certain patterns. Srivastava’s personal success was certainly based on this.

So, who’s right? Ginther isn’t talking, although she is said to live in Las Vegas and we’d love to have her on the show.  Let’s look at some assumptions and do a sort of Occam’s Razor analysis:

Mazur:  Pick 6 lotteries are played in a lot of places and have been for a long time. Getting four big wins could happen once by chance to anyone, and it just happened to be Joan Ginther.

Srivastava:  The lotteries Ginther won were not Pick 6, but had other characteristics. It’s possible to analyze those characteristics to gain an edge — if you’re smart enough and dedicated enough. A Ph.D. in mathematics from Stanford University is likely smart enough and dedicated enough to succeed. Although Ginther’s success had a luck element to it, assuming she was a skilled gambler makes a lot more sense than assuming she just got lucky.

In my opinion, Srivastava’s argument makes more sense. What do you believe?

Posted on 23 Comments

The Best Video Poker Player

I’m probably the most famous video poker player of all time — not that there’s any real competition nor is there any prize. This “award” comes from me being a well-known writer and teacher for more than 20 years. That has made me “high profile” — which is a far different criterion than “best.”

So, what attributes would the best video poker player have? Presumably there would be some mix of the following:

  1. Knows several games at the professional level.
  2. Studies and practices enough to stay sharp on all games he is currently playing.
  3. Is successful at bringing home the money over the course of several years.
  4. Maintains sufficient on-hand bankroll so that when the opportunities present themselves, the money is available to exploit those opportunities.
  5. Is able to keep his welcome at casinos — especially in comparison with other players with more or less the same results.
  6. Is able to re-establish relationships with casinos whenever restrictions take place.
  7. Is good at figuring out how any particular promotion may be exploited. This requires some intelligence. I’m sure bright people do better at this than not-so-bright people, but I don’t think being a genius is necessary.
  8. Knows the slot clubs inside and out.
  9. Scouts enough to know the relevant games at all nearby casinos.
  10. Keeps up on the promotions so he knows when to play where.
  11. Maintains physical health and stamina, including maintaining reasonable diet and exercise, so that long hours may be put in when special opportunities come along.
  12. Has a network of players who share information about good plays.
  13. Has the mathematical skills to figure out new games when they come around. This is a key one, but there are actually several mathematical skills — including computer programming — which come into play. It is very possible you’re a better programmer than me and I’m better at other “mathy” kinds of things than you are.
  14. Can use the existing computer software (assuming you haven’t created your own which is better in all respects) to figure out various promotions easily.
  15. Can psychologically deal with inevitable losing streaks.
  16. Can avoid huge spending sprees after big wins.
  17. Likes Country Western music (okay, this probably shouldn’t be on the list. I was just checking to see if you were still paying attention.)
  18. LIKES to play and does so willingly. If it’s just a tedious way to earn money, you’re probably not going to be doing whatever is necessary to get and stay sharp.

There are probably things I’ve missed, but you get the idea. There are a LOT of things that make up being a strong player.

Which one is most important? I don’t have a clear-cut ranking of these attributes and even if I did, there would be room for others to disagree. If you’re not good at several of these things, you’re not a strong player. The “best” would consist of some composite score of all these things.

Whomever the best player is, I’m confident that I’m better than him in some of these categories. Likewise, all strong players are better than me in several of these categories and thousands of players are better than me in at least one category.

Being really strong in one or two of these areas can sometimes make up for a shortcoming elsewhere. There are a LOT of different formulas for success.

Finally, your score on this list is basically a secret. There are no published statistics ranking players in any of these categories.

If I’m leaving out important attributes necessary to be a good video poker player, please comment on this article. Some of these comments may well generate one or more articles in the future — and I’m always looking for more things to write about.

Posted on 9 Comments

Learning the Wrong Lesson

Most of us continue to learn as we progress through life. A 70-year-old man has many more life experiences than a 20-year-old. Most 20-year-olds have more recently been a student and have a more flexible mind than their grandparents, but their grandparents have been in many more situations and have learned from them. That learning experience is very valuable.

Unless they’re a football fan.

On a kickoff in the National Football League, a “touchback” — meaning the kick goes into the end zone or beyond and the receiving team makes no attempt to run it out — results in the ball being placed on the 25-yard line.

If the receiving team runs the ball out and gets “only” to the 20-yard line, the typical announcer says that running it out was a “bad decision.” The reason he says this is obvious. Had the kick returner given up and taken a knee, the ball would have been at the 25-yard line. Since he only got to the 20-yard line, any fool can see that it was a bad decision.

Conversely, had the runner gotten to the 30-yard line, this would have been pronounced a “good decision.”

Seventy-year-olds have heard this kind of football-announcer logic hundreds or thousands of times. And they sometimes believe this kind of thinking because it makes sense.

Except it’s dead wrong — at least to my way of thinking.

Whether or not you have made a good decision or a bad decision should be determined at the time you make the decision — NOT sometime down the road. In the case of football, the player needs to consider how deep the ball is kicked, his speed, the score of the game, the placement of the players on both teams, and a variety of other factors. Sometimes another player has the responsibility of determining whether or not the kick should be run out because the guy who is catching the ball needs to concentrate on that and not on where everybody else is.

When the player catches the ball and runs it out, he cannot know exactly where he will be tackled or run out of bounds. He can have a good idea — but he doesn’t know exactly. Over time he learns that on average, if the ball is kicked nine yards deep, he doesn’t get as far as when the kick comes down right on the goal line. This is an important factor in his decision. He learns that balls kicked really high take longer to come down so he’s more likely to be tackled earlier than if it were a low kick. This is also an important factor in his decision. There are many other such factors and eventually he becomes better at this — or is replaced by somebody else.

In gambling, many people use the same type of illogic — namely if they win they were playing well and if they lose they were playing poorly. Again, this is dead wrong to my way of thinking.

A good bet, or a good decision, should be evaluated as good or bad when you make the bet — not afterwards. With the hand Q♠ J♠ T♠ 9♠ 8♦, discarding the 8 and seeing if you connect on a flush or straight flush this time is definitely not the way to evaluate what the correct play is. (Generally speaking, in games without wild cards, when the straight flush pays 250 you keep the straight and when it pays 400 or more you go for the straight flush.)

People who listen to a lot of football games and learn to accept the kind of logic presented there have a tough time accepting this “truth.”

What makes “my” truth better than the truth told by football announcers? (It’s not “my” truth at all, but merely the truth I’m presenting here. It was discovered long before I came along.) The most successful gamblers from a variety of disciplines accept it.

Poker players talk about pot odds. If the pot is offering 3-1 odds and the actual odds are only 2-1 against you, poker teachers tell you that you should make the bet even though you are going to lose it two-thirds of the time.

Michael Shackleford, the head guy at the Wizard of Odds series of websites, who is arguably more of a theoretician than a gambler (although clearly, he is both), phrases it as, “It’s not whether you win or lose; it’s whether you had a good bet.”

The basic strategy in blackjack says you should splits 8s against a ten (as well as all other up cards.) Doing this, you’re frequently going to lose twice as much as if you either stood on the 16 or took another card. This decision is made because on average, you’ll lose less money splitting the 8s than you will making either of the other two plays. And “on average” means over several times, not just this time in particular.

In sports betting, you might see -150 on one side of a bet and +125 on the other — meaning you have to bet $150 to win $100 if you lay the favorite, and you win $125 for your $100 bet if you take the underdog. Either side might be the smart bet — depending on a bunch of factors. Waiting until after the game is over and THEN saying “I should have bet on . . .” is not the way it’s done — but that’s the way football announcers tell it.

Experience is a great teacher. But sometimes it teaches us the wrong lesson.

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It Takes More Than a Book

In addition to where my blogs usually appear, starting a few months ago they also have been found at www.gamblingwithanedge.com. This is a site created by the folks at The Las Vegas Advisor and groups together podcasts from the radio show and blogs from a number of successful gamblers.

One feature of that site is it’s a handy place to post your own comments for or against anything written. Today’s blog was inspired by comment written about one of my recent blogs. It wasn’t an unfriendly comment. It wasn’t a personal attack of any sort. It was likely intended as gentle teasing. But nonetheless I disagree strongly with what was written.

The blog in question was dated October 25, 2016 and part of it referred to an incident where I “instructed” my ex-wife Shirley on my way of gambling. More than one reader responded with how they have taught spouses how to gamble.

One reader posed the following:  My wife and I have been married for 44 years. She has just started to play VP. Instead of me teaching her I just gave her a copy of Bob’s book on how to win at JoB…….if she loses there is only one person (other than herself) to blame……sorry Bob.

Thanks for plugging my Winner’s Guide (actually co-written with Liam W. Daily). If I personally were trying to learn a game and someone had already created that kind of a book, it would definitely be part of my learning process. I use all sorts of sources to help myself get better at things.

With that said, tossing someone a Winner’s Guide and telling them they’re now on their own is a lousy way to teach them how to play a winning game.

Why? Because people learn in different ways. Some people learn by reading. Some learn by listening. Some learn by doing and being corrected. Some people are A students and very proficient at comprehending what they read, but more people aren’t.

A Winner’s Guide make a lot more sense if you also are using computer software along with it. I personally use Video Poker for Winners, WinPoker, and Wolf Video Poker to assist me. For learning a new game they all work, and each has small  advantages the others don’t.

Even with a computer and a book, most players can’t tell you when Q♠ T♠ 8♠ is more valuable than a 4-card inside straight with three high cards in the same hand. Studying at that level by themselves is beyond what most players can or will do. A personal tutor (assuming that’s what you call an accomplished player who has already learned the game well) can explain this easily enough, but it will often take several repetitions before the new student has it mastered. And then a few weeks or months later, a review will often be required. And then later, another review.This kind of information doesn’t stick firmly in the minds of many.

Perhaps more fundamentally, even though the Jacks or Better Winner’s Guide can help teach you how to play each hand correctly, it won’t turn you into a winning player. Although there are some exceptions in a few places, the best common version of the game returns 99.54% before including the slot club and other benefits. That means the house has an edge of 0.46% if you can play perfectly — and it takes a while to learn how to play perfectly.

The concepts of free play, mailers, promotions, comps, and other goodies won’t be learned from the Winner’s Guides. These concepts are every bit as important as how to play the hands correctly, and are arguably more difficult to learn.

Plus, they keep changing. Very few slot clubs are the same today as they were three years ago. Similar, yes. Identical, no. And knowing where those differences lie can make or break you.

Although my blogs sometimes address these subjects, I may be talking about casinos and/or stakes which you don’t play. For “local” (to the student) information, that student is going to need local tutoring.

Does every reader of my blog need to be a tutor? No, of course not. But thinking that you’ve done a good job teaching by giving the student a book, even a good book, is fooling yourself. It takes a lot more than a book.

And if you become a teacher to help somebody else, you will become a better player in the process.

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Legal Musings: “Making a Bet After the Outcome is Known”

With all the casino cheating going on these days (see my previous two-part post), casinos have stepped up their game. Not only do they cheat you by not paying when you win, but they strengthen the move by enlisting the local district attorney to extort you. The way it works is that the casino doesn’t pay. Simultaneously, they get the DA to intimidate the players by filing charges relating to the game, or threatening to file charges. A law-abiding AP is terrified by criminal charges, so it’s a no-brainer to accept the implicit deal — virtually always available — to have the DA drop the charges, and let the casino keep the money. Continue reading Legal Musings: “Making a Bet After the Outcome is Known”

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What Are You Trying to Get?

My niece Jessica, in her late 20s, recently married Blake. They live in Southern California. I asked them beforehand to choose their wedding present from me — either a check or a Vegas weekend. They chose the latter and then asked if it could include some video poker lessons. Sure, no problem.

In mid-August they came to town. I got them a nice hotel room, Penn and Teller tickets, and Bonnie and I took them out to a nice dinner. And, of course, a video poker lesson.

Jessica is NOT a gambler at all, but her new husband has been to Vegas a lot. Jessica wanted a game where she could have fun gambling and not lose more than $5 or $10 an hour. I got them a room at the Palms, where they have three machines that include penny Fifty Play 9/6 Jacks or Better. So long as she played five hands or fewer at a time, it would basically be impossible for her to out-lose her budget.

I used my normal class notes. I was unsure whether they’d be appropriate. Jessica has an engineering degree from an Ivy League school and my beginner Jacks or Better class is geared for people with average IQs. I don’t’ know Blake’s academic background, but I’ve known him for a couple of years and he’s pretty bright.

My classes are typically interactive with me asking questions to all of the students. So I went to their hotel suite, sat between them, and used the PowerPoint presentation on my laptop. I quickly concluded that asking Jessica most of the questions made more sense than switching back and forth, simply because the concepts were foreign to her and Blake was way ahead of her as a player.

One of the problem hands was A♠ K♠ 3♦ 4♦ 5♦ and I asked Jessica whether she should hold the black cards or the red cards? The way the class is set up, the diamonds are included in Rule 8 (3-card straight flush that is either consecutive or contains two high cards) and the spades are included in Rule 9 (two suited high cards). The ground rules of the class say you pick the rule that comes first, so in this case you hold the diamonds. (Note: this was a beginner’s class. Intermediate and Advanced classes have different rules.)

Jessica understood that I wanted her to pick the earlier rule, but then she asked, “What are you trying to get when you hold the diamonds?”

I thought I’d heard every beginner’s question fifty times, but this was a new one — and I’m not sure I gave her an answer that made her happy.

I clicked over to the Video Poker for Winners software and called up this hand by going to ANALYZE àSELECT SPECIFIC CARDS. I entered these five cards and then clicked on ANALYZE THIS HAND. I then clicked on SHOW DETAILS.

On the spreadsheet that showed up, the software said there were 1,081 different combinations of cards you could draw to 3♦ 4♦ 5♦. Of those 1,081 combinations, 941 of them give you no winning score at all, 18 of them give you Jacks or Better (paying 5 coins), 27 of them give you two pair (paying 10), 9 times you get 3-of-a-kind (paying 15), 41 times you get a straight (paying 20), 42 times you get a flush (paying 30), and 3 times you get a straight flush (paying 250). From that starting position, it’s impossible to get a full house, 4-of-a-kind, or royal flush.

To get the Expected Value of holding that combination, you take a weighted average of all those. That is, (5*18 + 10*27 + 15*9 + 20*41 + 42*30 + 3*250)/1081. If it’s been awhile since you studied math, you do all of the multiplication first — and then do the addition — and then the division. If the parentheses weren’t there, it would be a different order. The answer comes out to be 3.0759 (listed in the leftmost column on the spreadsheet), which means on average this hand is worth that many coins. Most players don’t want to do this math at all, which is okay so long as you have the appropriate software available. But you should probably at least know how the numbers are calculated.

I’d LIKE to get a straight flush when I hold 3♦ 4♦ 5♦, simply because that’s the highest-paying end result of what’s possible, but I can’t really say I’m TRYING for it. I’m looking for the combination of cards to hold with the highest EV — which is NOT necessarily the one with the biggest possible prize.

When holding A♠ K♠, there are now 16,215 combinations and the software gives the number of combinations hitting each category — the highest of which is a royal flush for 4,000 coins. But the average is “only” 2.9402 coins. Whether that’s high or low is only relevant in comparison to the EV of other possibilities in the hand. Since 3.0759 is higher than 2.9402, we hold the diamonds. Had the diamonds been 3♦ 4♦ 6♦ instead, with an EV of 2.6688, we would have held the spades.

My answer of “I’m not really trying for anything” didn’t particularly satisfy her the first time she heard it, but if she reads the Winner’s Guide and practices on the software (wedding presents, of course), I’m sure she’ll catch on if she wants to. (I suspect she won’t want to — I couldn’t even talk them into getting and using a player’s card!)

Still, I’m glad she asked the question. I don’t think I’ve heard it before — and now I have a good answer if I hear it again.