Category: Video Poker

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It’s How You Approach It — Part II of II

Beginning in last week’s blog, I discussed my thought processes for using a fairly large food comp intelligently. If you didn’t catch the start of this discussion, it’s available a few clicks away.

The next question was whether the $250 could be spent anywhere other than in a restaurant? Maybe a gift shop, spa, gaming, or whatever?

Yes, it could be spent at the gift shop — but the gift shop had very modest offerings. Still, at the end of our stay if it comes down to “spend it or lose it,” Bonnie might well decide that one of the purses wasn’t too bad. Or maybe she could get something there as a gift. Bottles of alcohol would have been okay. Yes, the cruise ship would lock them up for the duration of the cruise (they want you to pay shipboard prices for your booze), but we’d get the bottles back. As it turned out, bottles of alcohol were not sold at the gift shop.

Next, while dining at Slack’s, was it possible to buy a bottle of wine without having it opened? Bottles that have been opened will be confiscated by the cruise ship and not returned. Some restaurants will leave the bottle totally unopened for you. Many won’t. Sometimes a small tip will get them to bend the rules for you. (And it’s easy to over-tip here. A bottle you can buy for $20 in a liquor store might well sell for $60 in a casino restaurant. Tipping $10 might make sense if it were really worth $60, but that’s a huge tip for something worth only $20.) You don’t know until you ask.

And I certainly wouldn’t ask at the start of the first meal. When restaurant employees are dealing with strangers, they are more likely to follow the rules to the letter. But on the first night, if we spend five minutes talking to the manager about the various places on Cape Cod that would be good for a day trip the next day, and came back the second night thanking him profusely and telling him how his advice really made our trip, we then are no longer strangers. We are “friends.” And sometimes people do favors for their friends.

(I’m actually writing this after our first night at the restaurant and before the second. I have no idea how the conversation will go and it’s better to leave some things unsaid. This is more about the methodology of how I address this situation than it is about whether I was successful at getting an unopened bottle of wine this particular time.)

(A side issue that interests me is when cruise ships confiscate alcohol while you are boarding for a 7-day cruise is that they typically return it to you on the evening of the night before you disembark. For passengers who are remaining on the ship for 14 or 21 days, do they still give it back to you on the night before the first 7-day cruise is over? Or is their system sophisticated enough to keep it until the very last night of your multi-week cruise?

I’ve decided that if I don’t get the unopened bottle from Slack’s, I’ll stop at a liquor store and buy a bottle of wine to take on the ship as an experiment — because we’re no strangers to back-to-back cruises. It’ll be nice information as to whether we are able to enjoy our wine onboard during our second week aboard the ship in these situations.
Another option, whether we’re back-to-back or not, is to buy a bottle of wine off the ship and pay the $7.50 corkage fee. A $12 bottle of wine on land costs $30 on board. Paying the corkage fee is the better choice.)

I was interested in whether comp dollars could be used to buy free play in the casino. I was told that none of the $250 could be used for that, but any additional comp dollars I had can be redeemed for play-it-through-at-least-once free play at a 2-for-1 rate. That is, I could redeem up to $1,000 comp dollars a day for $500 free play. Playing a 99% game, this has an EV of $495 (with some variance). Would I rather have $1,000 in future meals at the M or $495 in cash? This is not an option available (so far as I know) in Las Vegas at either the M or the Tropicana, which are the two Penn National properties there.

I really didn’t know which was worth more to me, but I decided to exchange $1,000 worth of comp dollars for $500 in free play. On another day, I might have decided to keep all my comp dollars.

(The $1,000 in comp dollars I redeemed had nothing to do with the $250 in spend-it-or-lose-it comp dollars I was given as part of my Icon rewards. But they both happened on the same trip at the same place, so I decided to discuss them in the same article.)

Finally, we could let part of the $250 go unredeemed. It’s not the worst thing in the world. We are neither starving nor destitute. It goes against my grain to leave benefits on the table, but sometimes you have to. Sometimes you do this for strategic reasons. This time we’d do it because there was nothing we could get that we really wanted.

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It’s How You Approach It — Part I of II

I earn a number of “free” cruises for play at various casinos. One casino where this happens is the M Resort in Las Vegas. Icon members ($800,000 video poker coin-in per calendar six months), earn one 7-day Norwegian Cruise Line balcony cabin cruise for two people per six-month period — plus periodically they have extra cruise giveaways as well. Any cruises I earn from Caesars Entertainment are also on NCL.

In addition, Icon members receive $500 annually towards travel to get to their cruise and a 2-day trip to any Penn National resort including $250 in food credit. These are actually two separate benefits, but you can use them on the same trip.

Since Bonnie and I enjoy dancing and relaxing, cruises are pleasant vacations — and we’ve been to all the ports. Once or twice each year, we have enough offers for cruising two or three weeks in a row, but one of the concerns is getting to the cruise locations inexpensively. All the credit card discounts talked about by Jimmy Jazz or Eric Rosenthal are in play, of course, but an extra $500 off is always welcome.

As it happens, Plainridge Park casino is a harness racing racino, part of the Penn National chain, and very near the Foxborough part of greater Boston. If we can find interesting cruises out of Boston, then part of our transportation expenses will evaporate.

For much of the year, they have 7-day Bermuda cruises out of Boston, where the ship docks in Bermuda for a few days and doesn’t move. You have 24-hour on-and-off privileges. It’s a different sort of cruising experience compared to having a ship arrive at a port at 8 a.m. and you must be back on board later that same day.

In the fall, they have “fall colors” cruises for seven days north out of Boston, along the New England coast, and then down the St. Lawrence River (a key part of the St. Lawrence Seaway) to Quebec City. The following week, the ship returns to Boston, stopping at primarily different ports. So, if you plan your dates right, you can have three consecutive weeks where there is a different itinerary each week. Plus, if you stay in the same stateroom, you have an extra day to explore Quebec City or the nearby countryside.

That’s what we did. The last week of the Bermuda cruise season was September 7-14 and the first week of the fall colors cruise was September 14-21, followed by the return to Boston on September 21-28. A key part of making this work for us was to start the “fall semester” of video poker classes at the South Point on July 3 which would allow us to finish up on September 4 and get on a plane to Boston on September 5.

I was certainly willing to play at Plainridge were the pay schedules are “interesting.” They didn’t have much video poker, but the best games were actually better than I expected. The loosest I found was $1 Triple Play 9/6 Double Double Bonus, which is worth a tick under 99%, and the machines were busy enough that I couldn’t do an exhaustive search. They had no table games.  And even though this 99% game is less attractive than I normally play, it was plenty good enough to play some — which I’ll discuss in next week’s blog.

There is no hotel associated with the casino, so they put us up at a nearby Holiday Inn Express. Acceptable. They have nicer places in the area, and if they believed we’d be big players at the casino I’m certain a higher-end hostelry could have been arranged. But we probably weren’t going to play that much, and this was fine.

Arriving at the casino at 7 p.m. on a Wednesday, Bonnie and I had $250 to spend food-wise before Friday 9 a.m., which is when we’d leave the area to travel back to Logan Airport from where we had a shuttle reservation to get to the ship. They have Slack’s, which is an oyster bar and grill restaurant, and Flutie’s, which is a sports pub. They also have a food court, but $250 is simply too much fast food for two people to consume in two days.

The first thing we had to figure out was whether we were able to use the $250 over more than one meal? Although there’s a wine list at Slack’s which would allow us to easily surpass the $250 threshold, the surf-and-turf special ran only $30 apiece — meaning that running a tab of $250 over two days for two people without a significant amount of alcohol would be difficult. Food “to go” was of little interest because we were just about to spend three weeks on all-you-can-eat cruises. Still, we had a refrigerator in the room, so having a bit leftover for “midnight snacks” wasn’t all bad.

Next, we needed to determine what would happen to any part of the $250 that wasn’t spent? Was it placed in my “comp dollar” account — meaning that maybe we could spend it back in Las Vegas or at other Penn National properties? If that was the case, the “How do you spend it all right now?” problem disappears.

I was told by the only host on property Wednesday night that this, however, was not the case. The money wouldn’t “evaporate,” but could only be spent at Plainridge Park. I would have liked to ask this same question to a more senior host, but there was nobody available.

There were more things to consider in how to spend these comp dollars, but I’ll leave the discussion for that until next week.

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Using callipygian in a Sentence

I am perfectly content eating meals by myself so long as I have a book with me. I have a goal of reading one book a week for pleasure, along with however many I need to read to prepare for podcast interviews. Most of our interviews do not require reading a book beforehand, but there are five or ten a year that do.

On this particular day, I was reading 500 Words You Should Know by Caroline Taggart — a book I had picked up at the library. I have a decent vocabulary, and I figured I would know the vast majority of these words anyway, but a refresher course is good now and then.

This book was way more complicated than what I was expecting. Many of the words were basically unusable because words that 99% of my audience don’t know aren’t good to use. Occasionally using atavistic or ratiocination or amanuensis is probably okay, but regularly using a bunch of them makes readers turn away. Although I could live with it if people respected and admired me for a fine vocabulary, I know from experience that reactions to me using a lot of complicated typically include such comments as, “That Dancer guy is really an a**hole!”

Unfortunately, the words used as previous examples were some of the easier ones in this book! For example, in the first chapter I came across callipygian, which refers to having nicely shaped buttocks. I’m not sure if it’s better if my audience does or doesn’t know this word. If they do know it, it has an extra degree of un-usability in today’s world of sexual harassment and #metoo. While I did memorize the word, I figured I would never use it.

I was mistaken.

On this particular Saturday, I was playing on the first day of a two-day slot tournament at the M. Although I don’t go to all of their events, this one was lucrative enough to interest me. As is typical for that casino, they give each invited guest one tournament entry per day and you can earn up to two more per day based on your play. In addition, playing $2,000 coin-in on a video poker machine (less required on slots) earns you a free seafood buffet that retails for a nickel less than $45. Since the same coin-in can be used to earn extra tournament entries and qualify for the buffet, you can figure out where I ate that day. And you can also bet that I had a book with me.

Before the tournament, you swipe your player’s card at a kiosk and print out however many tournament entries you have. Some people come in just for the free entry, but if I’m going to take the time and energy to show up, I’m getting the extra ones as well. Getting two good scores out of six is much easier than getting two good scores out of two. So, on this day I had my three entries.

They have some permanent employees in the Special Events department, but they hire part-timers as well. They have different promotions occurring on different days, so having an army of temporary workers allows them to staff their events without having more people on their payroll than they usually need. On this day, the lady checking to verify that the name on my entries, player’s card, and ID were all the same was probably 80 years old and I had never seen her before. She had a nametag that said, “Mary.”

Although I’m hypothesizing, Mary didn’t look like she needed the job. She looked instead like she really liked people and was looking for something interesting to do with her time. She checked what she needed to check efficiently, noticed the title of the book I was carrying, and pleasantly asked, “What new word did you learn today?”

Mary’s tone of voice had me guessing that this lady was a retired elementary schoolteacher. Her question was friendly, and I could just sense her telling generations of school children that if you can’t use a word in a sentence, you don’t know it well enough.

So, I told her. “Callipygian.”

She scrunched up her face and said in an interested voice. “Oh! I don’t know that one. I like learning new words! What does it mean?”

I now had a choice to make. There are lots of ways to say, “nicely shaped buttocks.” Some you could say in elementary school. Some you shouldn’t. Some appropriate to say to a nice lady. Some not so appropriate.

I made a judgment call that Mary was a good sport and had a nice sense of humor, so I told her straight out.

“It means you have a beautiful ass!”

She looked a bit startled, and then smiled with delight. “Nobody has said that to me in decades! You have really made my day!”

Her delight made my day as well. My scores in those tournament rounds were very un-remarkable, but my day was memorable, nonetheless. That was fun! And I’m learning some new words in case I run into that lady again.

And the next word will have nothing to do with the size and shape of her body parts. As a one-off situation, this time was fine. If I only gave her words that had some possible sexual connotation, it would either imply that I’m a really creepy guy or maybe I was hitting on her. I certainly don’t want her making either conclusion.

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Figuring Out a New Strategy on the Fly — Deuces Wild Version

Last week I listed some rules about when you should make strategy adjustments based on pay schedules for games without wild cards. Today I’m doing the same thing for Deuces Wild games.

Again, I strongly recommend knowing the strategy for at least one game ‘cold.’ This game could be Full Pay Deuces Wild, NSU Deuces Wild, pNSN (called Airport Deuces by some), or some other variation, but if you don’t know at least one game, these rules will be of marginal value.

To the abbreviations I used last week, add W which stands for a wild card in general or, in this game, a deuce.

A key part of knowing Deuces Wild is knowing how 3- and 4-card straight flushes rank. Here I’m including a list I use in my classes. Even if you’re not familiar with Dancer/Daily notation, you should be able to understand the relative values of these combinations. Not all of these categories are eligible to be held in all games, but you should be aware of the relative ranking in the game they are held.

Summary of categories of SF3 and SF4

SF3 -2 = double inside; SF3 -1 = single inside; SF3 +0 = non-inside;

SF4 -3 = triple inside; SF4 -2 = double inside; SF4 -1 = single inside;

SF4 +0 = non-inside;

 

0-deuce SF3

SF3 [A-low]           [A34; A35; A45]

SF3 -2                     [includes 346 and 356; excludes any A-low]

SF3 -1                      [includes 456; for strategy purposes, includes 345]

SF3 +0                    [567 – 9TJ]

 

1-deuce SF3

SF3 -1                  [W57 – W9J > W56 > W45]   

SF3 +0                [W67 – W9T]  

 

1-deuce SF4

SF4 [A-low]        [WA34; WA35; WA45]

SF4 -2                  [W346; W356; W347 – W9QK]

SF4 -1                   [W345; W456; W457 – WJQ]

SF4 +0                 [W567 – W9TJ]

 

2-deuce SF4

          SF4 -2      [WW34 = WW35 = WW46 = WW47 – WW9Q]

          SF4 -1      [WW45 = WW56 = WW57 – WW9J]

          SF4 +0    [WW67 – WW9T]  

 

  1. K♥ Q♥ J♥ T♥ 9♥
  2. K♠ K♥ 3♠ 3♥ J♠  
  3. A♦ A♠ K♠ 7♠ 3♠
  4. A♣ 3♣ 4♣ 5♥ 9♠
  5. K♥ Q♥ 9♠ 8♥ 5♦
  6. J♠ T♠ 9♠ 7♠ 8♦
  7. Q♦ J♣ T♦ 8♠ 3♠
  8. K♠ Q♠ T♥ 9♣ 2♦
  9. W 7♠ 8♠ 9♠ A♠
  10. W 8♠T♠ 4♥ 5♥
  11. W W W T♠ T♥ versus W W W 4♠ 4♥

 

Now let’s look at how changes to the pay schedule will affect these plays. Note that my statements are strong tendencies, but exceptions may be found sometimes. I’m using the following notation here:

2P — two pair

3K — three of a kind

ST — straight

FL — flush

FH — full house

4K — four of a kind

5K — five of a kind

SF — straight flush

RF — royal flush.

 

When flushes pay 15 on a 5-coin basis, I’ll say FL pays 3-for-1. I went back and forth about whether to say “pay” or “pays.” I can argue persuasively against either way of doing it, but I had to pick one. So, I did.

 

Also, I am not including Ultimate X strategies here. I am only discussing strategies where there are no multipliers earned.

 

  1. You ALWAYS throw away the 9. It’s on this list more for completeness because in games without wild cards you ALWAYS keep the 9 when the royal pays 4,000 coins. Not all players go back and forth between games seamlessly
  2. Whether you hold one pair or two depends on how much you get for the FH. When FH pays 3-for-1, hold one pair. When FH pays 4-for-1, hold two pair. When you hold one pair, if all 4K pay the same and all 5K pay the same, it doesn’t matter which pair you hold. In a game like Bonus Deuces where five 3s pay more than five Ks, if the FH pays 3-for-1, just hold the 3s.
  3. Hold the pair when FL pays 2-for-1. Hold the spades when FL pays 3-for-1.
  4. Hold the A-low SF3 when the sum of FL and SF pays 12 or more. That is, in FPDW, FL pays 2 and SF pays 9 — so you throw everything away. In pNSU, where FL pays 3 and SF pays 9, hold A34. Do not even think about holding A345. That has only half as much value as an inside straight draw and is never held.
  5. If FL pays 3-for-1, hold KQ. If FL pays 2-for-1, throw everything away. In games where FL pays 2-for-1, you probably hold KQ if none of the remaining three cards are 9 or higher (i.e. a straight penalty) and none are suited with the KQ (i.e. a flush penalty).
  6. Hold all five cards when ST pays 2-for-1. Just hold the spades when ST pays 1-for-1.
  7. When FL pays 3-for-1, hold QT.  When FL pays 2-for-1, hold QJT8.  If the J were a 9, sometimes you hold QT even if the FL pays 2-for-1 — depending on how much the SF pays.
  8. Hold KQ if ST pays 1-for-1. Hold KQT9 if ST pays 2-for-1.
  9. Hold all five cards if FL pays 3-for-1. Just hold W789 if FL pays 2-for-1.
  10. W8T is ALWAYS preferred to W45 (see the chart prior to the list of problem hands), although sometimes both W8T and W45 are inferior to holding the W by itself. You’ll prefer W8T to just the W if the sum of the FL and SF add up to 12 or more.
  11. When 4K returns 5-for-1, hold the quints when they include TT, JJ, QQ, KK, or AA and otherwise just hold the deuces. It’s a close play and the reason for the difference has to do with the possibility of getting wild royals. In the more common situation where 4K returns 4-for-1, hold the quints when 5K pays more than 12-for-1.
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Figuring Out a New Strategy on the Fly

There are a LOT of video poker games out there. Sometimes you come across one that you haven’t studied before. There are some rules of thumb that can get you pretty close. This week we’re going to talk about doing that in games without wild cards where you get your money back for a pair of jacks or better. Next week we’ll talk about doing the same thing for Deuces Wild variations.

The first step of the process is the most critical. If you skip over that, your results down the road won’t be as good as they otherwise could be. And that first step is to know the strategy for at least one game cold.

This game that you know cold could be Jacks or Better, Double Bonus, Double Double Bonus, etc. But you need to know instantly how to play the following hands correctly. None of these are particularly difficult for an intermediate level player, but beginners will miss a goodly percentage of them.

  1. K♥ Q♥ J♥ K♣ 3♦
  2. A♠ K♠ J♠ 5♠ 2♥
  3. A♦ K♦ T♦ 4♦ 3♣
  4. 4♦ 4♠ 5♥ 6♣ 7♦
  5. 9♦ T♠ T♥ J♣ Q♦
  6. J♠ T♠ 9♠ 8♠ 7♦
  7. J♠ T♠ 9♠ 7♠ 8♦
  8. Q♦ J♣ T♦ 8♠ 3♠
  9. K♠ Q♠ T♥ 9♣ 2♦
  10. A♦ 2♠ 3♥ 5♣ 9♦
  11. A♠ Q♥ J♣ 5♠ 2♥
  12. 2♣ 4♠ 5♥ 6♠ 9♥
  13. A♦ K♦ J♣ 4♦ 6♠
  14. K♠ J♠ 3♥ 4♥ 5♥
  15. Q♥ J♥ 2♠ 3♠ 4♠
  16. A♠ A♥ 3♠ 3♥ J♠  
  17. K♠ K♥ 3♠ 3♥ J♠  

Now let’s look at how changes to the pay schedule will affect these plays. Note that my statements are strong tendencies, but exceptions may be found sometimes. I’m using the following notation here:

2P — two pair

3K — three of a kind

ST — straight

FL — flush

FH — full house

4K — four of a kind

SF — straight flush

RF — royal flush.

 

When flushes pay 30 on a 5-coin basis, I’ll say FL pays 6-for-1. I went back and forth about whether to say “pay” or “pays.” I can argue persuasively against either way of doing it, but I had to pick one. So, I did.

 

  1. When FL pays 5-for-1, KK is always correct. When FL pays 6-for-1, KQJ is correct if 2P pays 1-for-1, and KK is correct if 2P pays 2-for-1. If FL pays 7-for-1, KQJ is correct.
  2. When FL pays 6-for-1 or less, hold AKJ. When FL pays 7-for-1, hold AKJ5.
  3. When FL pays 5-for-1, hold AKT. When FL pays 7-for-1, hold AKT4. When FL pays 6-for-1, it depends on how much you get for 2P. When 2P pays 2-for-1, hold AKT. When 2P pays 1-for-1, hold AKT4.
  4. Hold 44 when ST pays 4-for-1 and 3K pays 3-for-1. If either ST pays 5-for-1 or 3K pays 2-for-1, hold 4567.
  5. If 2P pays 2-for-1 and ST pays 4-for-1, hold TT. If 2P pays 2-for-1 and ST pays 5-for-1, hold QJT9. If 2P pays 1-for-1, hold QJT9 unless 4K pays more than 50-for-1.
  6. Hold JT987 if SF pays 50-for-1. If it pays more than that, hold JT98.
  7. I don’t know of any games (other than special cases with progressives on the straight flush) where you don’t hold all five cards.
  8. Hold QJT8 when 2P pays 1-for-1. Hold QJ when 2P pays 2-for-1.
  9. Hold KQ by itself always.
  10. Hold A by itself unless ST pays 5-for-1, in which case hold A235.
  11. Hold QJ in every game except Triple Double Bonus and Super Aces Bonus, in which case you hold the ace by itself.
  12. Hold 2456 when 2P pays 1-for-1. Throw everything away when 2P pays 2-for-1.
  13. Hold AK when FL pays 6-for-1 or less. Hold AK4 when FL pays 7-for-1.
  14. Basically, always hold 345 unless you’re dealing with a progressive. How high the progressive must get to justify holding the KQ depends on the game.
  15. Basically, always hold QJ. Comparing the last two hands, 234 is significantly less valuable than 345 because of its nearness to the ace.
  16. Hold AA33 unless 2P pays 1-for-1 and four aces pay 160-for-1 or more.
  17. Hold KK33 unless 2P pays 1-for-1 and four kings pay 120-for-1 while FH pays 8-for-1 or less.

During my classes, I frequently give out this kind of information when it is relevant to the game I’m teaching that day. One of my students asked me to put it all down in one place, so that’s why I wrote this article.

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A Certain Kind of Approach

A month or two ago, I mentioned on the Gambling with an Edge podcast that I have a buddy with two kids — “Jack,” 12 years old and “Mary Ann,” 10 years old — who are becoming fascinated with the game of backgammon. I’ve agreed to provide them with some backgammon instructions, and I’m enjoying the process of teaching them. I’ve taught adults for years but have had limited experience with teaching children.

The lesson on this particular day was about the doubling cube.

“Let’s say,” I began, “that from a certain position, your opponent will win 26 times out of 36 and you will win 10 times out of 36.” Backgammon players will have no trouble constructing one or more positions that meet this criterion, but I want today’s column to be understood by those readers who do not understand backgammon as well as those who do.

“Let’s say that you are playing for $1 and your opponent,” I continued, “offers you the doubling cube.  What this means is that you have the choice of accepting the cube and playing out the game for $2 or passing the cube and conceding $1 right now. What would you do?”

Both kids are pretty bright and are in STEM schools, which specialize in science and math, but the boy is two years older.  When it comes to figuring out mathematical problems (which is what I thought this was), those extra two years make a difference.

At this point in time, neither knew how to figure this out (I hoped that this would be different by the end of the lesson), so both went with instinct. Jack could see that he was a big underdog to win, and he’d much prefer to lose $1 rather than $2, so he announced that he would pass the double.

Mary Ann wasn’t interested in the math at all. Her goal was to beat her brother. Since she knew she couldn’t beat him by going with the same answer he gave, she announced she was going to take the double.

Then I went through the math so they would know how to solve these “take-or-pass” backgammon problems in the future.

If they passed the double, like Jack wanted to do, they would lose $1. That much was clear to everybody.

But if they took the double, how do you figure that out?

Well, 10 times out of 36 you win, which would put you ahead $20 on those rolls. Twenty-six times out of 36 you lose, which would put you down $52 on those rolls. Your net loss in 36 rolls is $32, so the average loss is $32/$36 which comes out to 89¢. Since 89¢ is smaller than $1, the correct play is to take the double.

The acronym “QED” comes from the Latin quod erat demonstrandum and means I have shown that which was to be demonstrated — or, basically, this math proves my case. Neither child, however, was impressed by what I had done.

Jack assured me he understood the math, but he would still pass the double. He simply didn’t want to risk losing the extra dollar most of the time.

Mary Ann cared even less for the math. The important thing to her was she got it right and her brother got it wrong! What could possibly be a better result than that? “That was fun! Do you have another puzzle for us, Bob?”

There was nothing more for me to say. In my opinion, playing games successfully depends on understanding and following the math. They both rejected the math. I was out of ammunition.

I spoke to their father, a successful gambler, a few days later about this. I think he took the right approach. He said, “I really don’t care if they become professional gamblers or not. But if they do, I want them to know the math backwards and forwards. They certainly don’t need to know this math when they are pre-teenagers — and who knows what their aptitudes will be in a decade or more? Later, if and when they decide that playing games competently is what they want to do, that’s when it’s important that they learn this stuff.”

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Getting It Straight

Every now and then I share results with somebody in a drawing or tournament. Sometimes, other people do it to lower the fluctuations in their bankroll. That is, they would much prefer to get half the amount twice as often. Assuming they are playing with an edge, this smooths out the swings. One can think of it as getting to the long run more quickly.

That’s not the primary reason I share results. I share results for social reasons. Simply put, it’s more fun to do things with your friends.  Sometimes the decreased bankroll variance is important to the friend with whom I would share. Sometimes not.

Once you’ve agreed to share, only half the work is done. You need to carefully lay out what is and is not included in the agreement. For example, is this agreement for one drawing only? Is it always in effect unless otherwise specified? Is it never in effect unless explicitly specified?

If the award is in free play, do you share in cash? (That is: Let’s say one of the players earns $1,000 in free play. When it plays it through, he runs salty and only collects $900. Does he owe his partner $500, $450, or some other number?)

If the prize is in cash, are 1099s to be issued? If the prizes are $1,000 or less, the tax implications are fairly minor. If there is a rare $50,000 prize, the tax implications are not minor at all. Issuing a 1099 for $25,000 is the cleanest way to handle it, but if this isn’t agreed upon up front, hard feelings will abound.

Several years ago, Jamie Gold won the World Series of Poker main event for $12 million. He had a partner putting up some fraction of his entry fee, and possibly the partnership wasn’t thought through clearly enough. There was a major disagreement as to how the tax liability would be handled. The poker community generally appeared to be against Gold. Eventually it got settled and Jamie resumed his career — probably because he was wealthy and willing to play in games with significantly stronger players. But there were hard words and angry feelings until it got resolved. I’m not involved in any sharing opportunities where a jackpot anywhere near that large is possible, but that incident offers a lesson nonetheless.

At a recent Big Draw lottery at the M resort, most people earned zero, but you could earn $50, $200, $1,000, $10,000, or (with a less than 1-in-50 million chance) $250,000. The lower amounts were in free play and the largest one was in cash. The deal I had with another player was all prizes would be settled for the full 50% amount in cash, and if lightning struck and one of us got $250,000, a 1099 would be issued for half that amount.

Was that the best way to do it? I don’t know. But it was agreed upon up front and both of us thought it was fair. So that means it was fair.

Sharing isn’t always symmetrical. In a slot tournament where it’s just “hit the button as fast as you can,” everybody has more-or-less an equal chance and you can share with anybody who’s not completely senile.

In a video poker tournament, it’s a different situation. Some players are simply much faster than others, some can make better decisions than others in a split second, and some can correctly adjust their strategy in the middle of a round when it’s appropriate to go for a “royal-or-bust” strategy. You need to be very careful with whom you partner.

I recently shared in a video poker tournament with someone who I later discovered was a slightly faster player than I was. However, I probably made better decisions than he did because I’ve been doing this a couple of decades longer than he has. Neither of us know this for sure. It was close enough to being fair that neither of us were worrying about it.

Sometimes there are drawings where once you’re selected as one of the winners, you have an equal chance at each of the prizes. In these circumstances, if you’re one of the winners and want to make a deal with another of the winners, it’s fair. However many tickets you had going into the drawing no longer matters. At this point, you’re both in there and have equal chances.

If you have unequal numbers of tickets in the drum, it isn’t easy to come up with a fair system for sharing — simply because you usually cannot win more than one prize. For that reason, if I have 1,000 tickets and you have 500, giving me 2/3 of the prize money would be unfair to you unless there is only one prize. I have twice the chances as you to be called first, but then the rest of my tickets are dead while yours are still alive.

Still, if there’s enough goodwill between the players, usually players would go with a 2/3 and 1/3 split in this example. It’s “close enough,” and you’re friends. If there wasn’t sufficient goodwill, normally no split is done.

Finally, some people can be trusted with money and some can’t. Whenever I’ve felt I’ve been intentionally shortchanged by a player, I let others know — sometimes by an article in this blog. Once somebody shows he will steal from or shortchange me, I never will give him a second chance.  

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Obtaining Information from the Universe

Bonnie and I were having a casino meal with a woman in her late 20s. She and her husband (who was about the same age as she and not present at the lunch) were both players who were trying to decide whether to continue with their video poker career or go try something else.

The day before, this woman had hit a $40,000 royal flush on a $10 machine — her biggest jackpot to date.

“I look at this royal flush as evidence that the universe believes I should continue playing video poker,” she told us.

I, for one, believe that such thinking is nonsensical. Whether you call me a skeptic, an agnostic, or an atheist (none of these terms exactly fits my view of my beliefs — but possibly they are good enough for this article), I do not believe that some sort of Higher Power was involved in her hitting the royal flush.

She had been playing 8/5 Bonus Poker. With correct play, royals in that game come around every 40,000 hands or so. The fact that one hit the day before was coincidence. They are going to be hit some time by every player — and one came about the day before. The next one might be tomorrow — or maybe in a few months. You just don’t know. And they come about whether you believe in Higher Powers or you don’t.

The decision on whether or not to “go get a job” should properly depend on things like:

  1. What games are available in your area?
  2. How much can you reasonably expect to make playing video poker?
  3. How much do you like the game?
  4. What other skills and/or interests do you have?

None of the things on this list has anything to do with how long it has been since your last royal flush.

If your list includes something like, “What do you think God wants you to be doing?” the answer will probably always be, “I can’t believe God really thinks being a professional gambler is an enlightened way to live my life.” This type of consideration doesn’t enter into my decisions — but I recognize that for some people it does.

But while I don’t believe that a $40,000 jackpot is particularly significant in making the decision about whether to continue being a professional gambler, it could definitely make a difference bankroll-wise. One excellent reason to quit gambling is if you’re broke. Royal flushes can provide a cushion which tends to postpone the decision for another day.

It is common, yet misleading, to take stock of what you want to do with your gambling future immediately after you hit a big jackpot. The reason it’s misleading is that you are making a decision at a relative high point in your bankroll — and your bankroll may regularly fluctuate by significant amounts.

The fact that this couple today has $xxx in their gambling bankroll immediately after the $40,000 royal flush is just one data point. She could very well lose $10,000 or more tomorrow playing the same game. Would the decision about her future be the same after the $40,000 win as it would be after that $10,000 loss? If not, then why would you think that the decision you make one day which will affect your future for a long time is any more valid than the decision on another day?

Finally, I didn’t tell this young woman any of this on that day. This was a friendly get-together and the first time Bonnie and she had met. I knew the husband much better than I knew her — and he and I have had these bankroll discussions periodically. I didn’t need to have the same conversation with her. Each family has its own way of dealing with financial items and I’ll let them work it out.

Bonnie and I congratulated her and were happy for her. If she and her husband invite me to help them with this decision later, I will. I’m very fond of them and have a sort of grandfatherly relationship with her husband. But if I’m not invited to participate in this decision, that’s okay too.

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But Wouldn’t I Get My Money Back More Often?

I was teaching beginner 9/6 Bonus Poker Deluxe in my Tuesday noon class at the South Point. (The semester will continue every Tuesday until September 4.) The hand we were discussing was 3♦4♦5♦Q♣J♣.

The class is taught using a top-down strategy where you select the rule that comes first. Holding 3♦4♦5♦ (along with certain other 3-card straight flushes) was covered by Rule 8. Holding Q♣J♣ (along with the other two suited high card combinations) was covered by Rule 9. Since Rule 8 comes before Rule 9, the correct play is to hold the 3♦4♦5♦.

One student asked the question: “But wouldn’t I at least get my money back more often if I held the clubs?”

My answer was: “Absolutely. But the system we use to determine the correct play maximizes Expected Value. With Expected Value, it is the frequency of the win multiplied by the value of the win – not just the frequency.”

The following chart shows this. To make the numbers big enough to read easily, I had to split the chart in half.

The Expected Value of 3♦4♦5♦ is shown to be 3.025. Since you are drawing two cards, there are 1,081 different combinations you could draw. About 87% of the time (actually 937 out of 1,081) you end up with no win at all.
But of the times you do score, most of them are straights and flushes, paying four and six times the value of high pairs respectively.

All the numbers in the preceding paragraph came from either the pay schedule or the chart below — which was copied directly from the Video Poker for Winners software. If you wish to be able to understand simple video poker mathematics, this is a good chance for you to practice.

 

Holding EV Total No Win High Pair 2 Pair 3K ST
3♦4♦5♦ 3.025 1,081 937 18 27 9 45
Q♣J♣ 2.9374 16,215 9,827 5,022 711 281 189

 

Holding EV Total FL FH 4K SF RF
3♦4♦5♦ 3.025 1,081 42 0 0 3 0
Q♣J♣ 2.9374 16,215 162 18 2 2 1

When you start from Q♣J♣ and draw three cards, there are 16,215 possible draws. This number is exactly 15 times as large as the 1,081 possible draws when you only draw two cards.

You get a high pair or two pair 5,733 times out of the 16,215 (which is about 35% of the time), but these are only 5-coin wins. You score something about 40% of the time, but most of the wins are small.

Other players use the logic that holding clubs gives them a chance at a royal flush and holding the diamonds doesn’t. But a 1-in-16,215 chance at 4,000 coins is only worth about 0.24 coins. The 3-in-1,081 chance of getting a straight flush holding 3♦4♦5♦ is worth 0.69 coins and that is something usually omitted by seat-of-the-pants players thinking, “It seems to me.”

A lot of players try to reason correct plays out in their heads. While this is certainly an appropriate avenue to address the problem if you don’t have a strategy handy, correct strategies are fairly easy to come by and figuring out how many times in 1,081 or 16,215 (or even bigger numbers when you draw four or five cards) is a tedious, error-prone process and basically impossible for most people to do by themselves.

A computer program, however, can figure this out almost instantaneously and very accurately. It’s one of the tools of the trade that makes it possible to play well.

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Why Play When It’s Not Worth Very Much?

Sometimes on holidays, the South Point offers 2x points — which means 0.6% because the base is 0.3%. This is equivalent to 6x points at the myriad of casinos that offer 0.1% base points.

This past July 4, they offered a Hot Seat promotion instead. This is a promotion where approximately 20 players an hour are randomly awarded $100 in free play from 8 a.m. through midnight. Let’s look at this a bit.

At 8 a.m., there might be 200 players in the casino — so each active player has about a 1-in-10 chance to win $100 in an hour — which means $10 per hour. At 8 p.m., there might be 1,000 players in the casino, so the promotion is worth $2 per hour at that point. Both my 200 and 1,000 numbers are wild-ass guesses. Still, they are the best estimates I have, and I need some basis to figure out how much a promotion is worth.

Is this better or worse than 2x points? This part is simple math, but many of my readers aren’t comfortable with doing this calculation. Let’s say you’re playing 800 hands per hour. If you play quarter single line, 800 hph comes to $1,000 coin-in, and 2x points is worth an extra $3 per hour. If you play $2 single line, 800 hph comes to $8,000 coin-in and 2x points is worth an extra $24 per hour.

Neither of these numbers mean you are necessarily a favorite when you play. It depends on which game you are playing. If you’re playing NSU Deuces Wild, which returns 99.728% when played perfectly, the numbers above pretty much represent expected dollars per hour if you play the game well. If you’re playing a lesser game, the casino may well still be a favorite no matter which promotion you are playing. If you’re playing a game that returns more than NSU, the numbers above are additional expected profit over and above what you’re already earning.

Using the information in the preceding paragraph, you can extrapolate to figure out what your game is worth. If you play smaller stakes, then the Hot Seat promotion, where every player who plays at least $1 per minute has the same chance, is the more valuable promotion. If you play for higher stakes, then the 2x points promotion would be worth a lot more.

I play for higher stakes, so clearly the Hot Seat promotion isn’t worth too much to me in terms of dollars per hour. And, yet, I hammered the promotion — playing more than ten hours. Playing ten hours straight used to be a walk in the park for me. I’m 71 years old now. It’s a struggle to play that long and still be alert. And yet I did.

The question becomes:  If the promotion wasn’t worth very much, why did I play it so hard? At first glance, this doesn’t seem to make much sense.

The answer is that I already committed to play $83,340 on both my card and Bonnie’s sometime during the month because we liked another promotion going on — namely play and redeem $8,334 worth of points and get a $50 Chevron gas card or $50 Walmart gift card — maximum ten per player. This is already similar to 2x points, because usually that much play earns you $25 in cash or free play and in July you get a $50 gift card.

So, it now becomes a matter of: If I’m already planning to play that much during the month and playing during the Hot Seat promotion gives me “something extra” which I wouldn’t receive playing at other times during the month, getting something extra is obviously better than getting nothing extra.

This still doesn’t address the alternative costs. Other casinos might be having good promotions as well on July 4. If my expected earnings were “a lot” at other casinos, this could easily surpass the perceived value of the opportunity at South Point. If it were important to Bonnie to go somewhere that day, that could easily be more important as well. Each person needs to make his own decision based on his own life.

As it turned out, I played ten hours at South Point and two hours somewhere else where they offered a little something that I felt was worth going for.

My results? To me, this is the least important matter in the whole affair. The critical part of the situation is the analysis that goes into the decision. Many people, however, want to judge the decision after the fact by the results. This does not give you useful information, because you don’t have this information before you make the decision. If I don’t include my results, you can bet someone will ask, “How did you do?”

So, on July 4 I was called once for the Hot Seat promotion for $100, and I lost considerably more than the value of the gift cards I earned. Oh well. That’s gambling. I care much more about expected value than I do about actual results.

If the circumstances are the same at some future time, I will likely play the promotion the same way — possibly modified because I’ll be older then and maybe won’t be able to play so long.