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What Should I Say?

There was a news story recently that 11 years ago, a college professor had told Julian Edelman (currently a New England Patriot wide receiver with two Super Bowl rings) that his goal of playing football professional was unrealistic and he should try something else. The teacher recently sent Edelman an apology for doubting his passion — Good for her! — and Edelman tweeted, “Set your goals high. Do whatever it takes to achieve them. #motivation.”

It turns out that Edelman went far beyond what this teacher thought he could do. But it also might be true that if this same teacher discouraged 25 other men from trying out for the NFL, she may well have been correct the other 25 times. Edelman is an exception — an undersized guy who made it through with a lot of grit and determination — and clearly there was some luck involved. (Not having a debilitating injury has to be a mixture of skill and luck.)

The reason I bring this us is that I also am a teacher. During the first session of my most recent semester of free video poker classes, one young man — I’m guessing 30 years old — “Charlie” — wasn’t very impressive in class. My class is interactive and I ask each student a question in turn. It’s pretty obvious to me if somebody has a knack for the game or not. By listening to how they answer the questions, how fast they grasp concepts, and the questions they ask, it’s not that hard for me to make some sort of an evaluation.

Still, it’s just my opinion. It’s at least possible that someone whom I think has no chance of becoming a decent player ends up being a successful one — in whatever way you wish to define that. It is, however, an educated opinion. I’ve been around successful gamblers for more than 40 years and there are recognizable patterns. Every successful gambler is different from all the others, but things such as apparent intelligence, a curiosity about how things work, and the ability to grasp concepts are pretty common.

Anyway, after the class, Charlie came up and told me he had recently received a settlement. He had $40,000 total, supplemented his living driving for Uber, and wanted to become rich playing video poker. What should I say?

It’s always a guess as to how much to encourage somebody. I really don’t want to give anybody false hope. Yes, I would earn a few extra dollars for each of my books and software that he purchased, but truly that’s small change. Telling somebody they have a great chance to succeed when I believe the opposite is true is not what I’m about.

At the same time, telling him flatly, “You have no chance at all,” isn’t what I’m about either. He might have been having an off day and he might be much smarter and more dedicated than I originally surmised. Although I was pretty sure I was correct in my judgment about him, I’ve been wrong before about many things.

So I told him that percentagewise, very few video poker players can support themselves just by gambling. It’s tough to succeed and a lot of players are competing with each other to do this. There is simply not enough room for everybody to make money at this. When this occasionally happens, casinos tighten up and then all the players struggle to find the next great opportunity.

I told him that the successful ones have some aptitude and work very hard perfecting their craft. And luck plays a role as well. You will likely hit “about” the right number of royals over time, but if you’re playing both quarter and dollars, it makes a big difference whether the royals you hit are quarter royals or dollar royals.

I also told him that while $40,000 sounded like a lot of money, money goes pretty fast when you’re paying rent, automobile expenses, whatever. If you’re using that money for both living and gambling, going through that in a year or two is very possible — even with some extra money coming in from driving. And then what?

Finally, I recommended he practice on the computer rather than in the casino. In-casino practice is very expensive. Playing on the nickel machines to save money isn’t usually a good option because those pay schedules are typically very bad. Even I would be a loser on most nickel pay schedules.

Anyway, that’s what I told him. I tried to balance being realistic with being reasonably supportive. What would you have said?

(Author’s note: After the first class and after this blog was written, Julian Edelman suffered a tear in the ACL of his right knee and will out all season. My reference early in this blog to Edelman being lucky to avoid debilitating injury now seems awkward in light of more recent events. I left the reference in unchanged — as the story was about Charlie, not Edelman. Writing blogs a month in advance means I’m not under big deadline pressure, but also sometimes current events change what I have written.)

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I’m Glad I Didn’t Hit It — Revisited

The Undoing Project is a recent book by Michael Lewis (author of Moneyball, Liar’s Poker, and The Blind Side, among others). It follows the careers of two Israeli psychologists, Daniel Kahneman and Amos Tversky, as they break new ground and basically invent the field of Behavioral Economics. I’ve written about these guys before and one man they greatly inspired — Dan Ariely.

Today I want to talk about the Undoing Project itself and the psychology of regret. Had I understood these concepts better many years ago, I would have never written a particular article that I now intend to revise.

When somebody wants to “undo” something, they usually think about relatively easy ways it could be accomplished. For example, Andy is driving and reaches an intersection just at the point where it’s a very close call whether to speed up and go through the intersection when the signal is orange or slow to a stop and wait for the next green. Andy’s decision may be the same or different from yours, but all drivers have occasionally experienced this sort of thing.

Regardless of whether Andy sped up or slowed down, let’s assume that at the next intersection, his car was sideswiped by another car which caused considerable damage, although thankfully Andy came out okay.

If Andy wanted to think about how this could have been undone, his mind would naturally go back to the speed-up-or-slow-down decision he had just made and conclude that if he had done the opposite, he would never have been sideswiped. He would not, typically, think that if the other driver had been killed the week before in a drive by shooting, then Andy would have avoided the accident. People just don’t think that way — but frankly, either “solution” would have kept Andy’s car from being crumpled.

When I read about this, I thought back to an article I had written perhaps 20 years ago. Seems like I was playing $1 10-7 Double Bonus at the Orleans and a woman sitting nearby commented, “I’m glad I didn’t hit it.” She was playing only four coins and had been dealt A♠ K♠ Q♠ J♠ 7♦. She threw the 7 away and ended up with a worthless 6♥.

I commented that if she had hit the royal, it would have been worth $1,000 rather than the nothing she received. I thought she was basically an idiot for preferring $0 to $1,000.

The thing is, though, that if she had hit the royal, she would have felt terrible that she hadn’t been playing max coins at that time. She would have seen it as a $3,000 loss rather than a $1,000 gain. The pain of losing $3,000 (even though it’s all in her mind) was bigger than the pleasure of actually winning $1,000.

Since I had studied economics before Kahneman and Tversky came along, I “knew” that having $1,000 was better than having $0. There was just no other way to look at it insofar as I was concerned. This woman was being very foolish.

Now, I realize that this woman isn’t alone in her thought processes. When she wished to “undo” the results of a “mere” $1,000 jackpot, she normally would think that, “I should have been playing five coins.” She “knew better” and now was being punished for only playing four coins. The pain she would feel would be very real to her.

I, of course, would have recommended she play one coin or five — depending on bankroll considerations, but never four. Still, that ship had sailed and she bet four coins. Although I still feel betting four coins per hand was foolish, I have more empathy for her “I’m glad I didn’t hit it” statement.

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How Often Do Things Happen?

Today’s paper is on simple video poker mathematics. Let’s assume you are playing a game where, on average, you hit a quad (i.e., a 4-of-a-kind) every 400 hands. Further, let’s assume you play for a total of 1,200 hands. I’ll arbitrarily say that it takes you two hours to complete the 1,200 hands. How many quads can you expect to end up with over that number of hands?

It appears obvious that the answer should be three, but this is the wrong answer. To get the correct answer, we need to look at the binomial distribution, the results of which appear here:

 

0 5%
1 15%
2 22%
3 22%
4 17%
5 10%
6 5%
7 2%
8 or more 1%

 

What this says is that 5% of the time you won’t hit any quad; 17% of the time you’ll hit four; 2% of the time you’ll hit seven; etc. These numbers don’t tell you WHICH quad you’ll hit. Just how many.

These numbers are accurate, but not really precise. For example, the chance to get exactly three quads could more precisely be written as 22.4322%, but that is far more precision than we need for today’s discussion. It looks like they only add up to 99%, but that’s rounding error and also not important for today.

One of the interesting features of this distribution is that the number of quads that we think we “should” get, namely three, actually occurs less than one time in four. Another typical feature of the distribution is that the probability of getting one fewer quad than typical is virtually the same — actually 22.4135%, which is slightly less.

We could, I suppose, refer to getting either zero or one quad as “bad luck”, getting two, three, or four as “typical luck”, and getting five or more as “good luck”. It doesn’t change anything by assigning terms dealing with luck to the results. When somebody asks me, “How much skill and how much luck was involved?” in describing whatever happened yesterday, my answer is often, “I have no idea.”

Let’s assume that on this particular day in question, we don’t hit any 4-of-a-kind. Definitely worse-than-average luck, but it happens about one day in twenty. Slightly rare, but not extraordinarily so. Now the question is, since you’ve just gone through worse-than-average luck, what will be the distribution of quads for your two-hour session tomorrow? For this, the following distribution will hold:

0 5%
1 15%
2 22%
3 22%
4 17%
5 10%
6 5%
7 2%
8 or more 1%

 

The distribution, of course, is the same as first given. Just because we had a bad day says absolutely nothing about what our score will be the next day. There is no tendency to either, “Once you start running bad you keep running bad because you’re an unlucky player,” or “You’ll get more quads the next day to make up for the shortfall.”

Let’s assume we change machines halfway through. Now the distribution of the quads expected over the 1,200 hands is:

0 5%
1 15%
2 22%
3 22%
4 17%
5 10%
6 5%
7 2%
8 or more 1%

 

Is this distribution beginning to look familiar? It should. Changing machines has nothing to do with changing the distribution.

In this discussion so far, we’ve said nothing about skill. We are assuming players are playing perfectly. If players play imperfectly, the distribution will change. For example, on a hand like K♥ K♠ 4♦ 4♣ 5♦, it is correct in almost every game to hold KK44, although many seat-of-the-pants players playing games where two pair only return even money incorrectly hold just the pair of kings. Making this kind of mistake systematically will IMPROVE your chances for hitting quads, but COST you overall. The increased number of quads you get by holding only one pair rarely compensates for the reduced number of full houses.

The numbers are for three “cycles.” If full houses normally come around every 90 hands on average, the numbers above apply to how many full houses you hit in 270 hands. If royals come about every 40,000 hands, the numbers above apply to how many royals you hit in 120,000 hands. In games where the royal cycle is 45,000 hands, the numbers apply to how many royals you hit in 135,000 hands.

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When You Get the Run Around

There was a small drawing at Hooters Casino in Las Vegas on a Friday night ten years ago, but it could have happened anywhere. I read the rules and they stated that you could earn tickets starting at 12:01 Friday morning up until 6 p.m. for the 7 p.m. drawing. It was a too-small-to-be-interesting drawing, but I already had dinner reservations with a friend at the casino. If we’re going to be there anyway, why not enter the drawing?

I arrived at the casino at about 1 a.m. and started playing a $5 machine that was attractive for more reasons than just the drawing. I played until around 3:30 a.m. and figured I had earned approximately 140 tickets, which meant I’d played around $42,000 through the machine. I wasn’t positive of the number, but it had to be pretty close.

I arrived at 5:45 for our 6:00 p.m. dinner date and went to the booth. I was given 25 tickets, implying I’d played $7,500. I knew this was wrong, so I asked to speak to the supervisor. “I AM the supervisor,” I was told.

I explained when I started and how much I’d played and I was assured that the computer system said 25 tickets. “Is your boss on property?” I asked. “Or the Director of Marketing? There is something wrong with the way you are calculating entries and I’d like to get it rectified before the drawing.”

“There’s nothing wrong with the way the system calculates entries,” I was told. She said the Marketing Director was in a meeting but that he’d come and find me in the restaurant if the meeting broke before 7 p.m.

“What about the slot director or the GM?” I asked. “Are either of them on property?” I was trying to be polite with my requests, but I was frustrated and becoming angry. I sincerely believed that I was in the right and I kept being told that I must be confused about when I played. She knew I was Bob Dancer and, hence, probably experienced at this sort of thing, but she was sticking by her position.

It happened that the slot director was walking by. We knew each other and I explained the situation. I asked him if the “official casino day” started at 3 a.m., and if so, perhaps most of my play showed up on the computer on the day before. But there should be a time-stamp on my play, and the rules clearly said you could start at 12:01 a.m.

The slot director confirmed that the casino day started at 3 a.m. and he took the club supervisor into the back room to look at the record. After about five minutes he came out and told me that I was correct and the booth would be giving me more tickets shortly. Somehow the slot club personnel were confused on the difference in “actual day” and “casino day.” In about three minutes, another slot club employee came out and handed me 134 tickets and told me I was mistaken when I asked for 140. That was fine. 140 was an estimate only and 134 was close enough — and certainly better than 25.

It didn’t have to end this way. It was possible that nobody knowledgeable would have shown up and I would have been out of luck. So, what do you do?

For me personally, making a huge scene was out of the question. My personal experience is that upper management tends to take the side of their underlings and if I make a big commotion it’s a convenient excuse to ask me not to play there anymore. Certain other players have no compunctions about loudly sticking up for their rights when they feel they’ve been wronged. But while I wasn’t going to make a big scene, I WAS willing to persistently keep asking to speak to any higher-level employee who would take the time to look at the computer screen.

I could have threatened to “take it to Gaming,” I suppose, but this would end up being way too much effort for way too little gain. I was about to ask to see the computer screen myself figuring that I would be more adept at understanding what was there than the boothlings were. It didn’t go that far and I don’t know if I would have been allowed to do this or not.

Generally speaking, the proper strategy is to not give up when you think you are right. There comes a time when going forward is clearly fruitless, and then you have to decide whether to pursue remedies after the fact. Had I not been able to reach a satisfactory solution before the drawing took place, many casinos would have “taken care of me” after the fact should they finally agree that their boothlings were in error. If I won the drawing anyway there would be no extra compensation, but if I came in second or third, a case could be made that I would probably have done better with an additional 100+ tickets so they might offer me some extra money. They won’t do this, however, unless you are persistent about it.

Players who take a “it’s the principle of the thing and I’ll take it all the way to the Supreme Court!” attitude are being very short-sighted, in my opinion. It’s a long war you’re fighting, not a single battle. I had maybe $200 in EV in this drawing when given the appropriate number of tickets. Losing out on this much EV would be a relatively minor bump in the road. Losing my welcome at this casino (and maybe others because some of these employees will eventually work elsewhere and may well remember if you treated them like dirt way back when) would be much costlier than $200.

Although most promotions have a “management reserves all rights” statement in there, most casinos will try to do the right thing — if they can be persuaded that they were in the wrong.

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A Matter of Perspective

If you’re a computer programmer working on a video poker game, the hand A♠ Q♥ T♥ 8♠ 3♥ is equivalent to A♦ Q♣ T♣ 8♦ 3♣, but both of those are different from A♣ Q♥ T♥ 8♠ 3♥. Can you see why?

The ranks of the cards are the same and in all three hands QT3 is suited. In the first two hands, the ace and eight are suited with each other. In the third hand, the ace and eight are unsuited.

To 99% of all players, 99% of the time, that distinction is irrelevant. It could possibly be important, for example, in a Double Bonus game where there is a progressive on four aces. At reset, you hold QT on this hand. If the progressive on four aces is high enough, you just hold the ace. How high the progressive has to be will be different if there are 12 cards still in the pack unsuited with the ace than if there are “only” 11.

With that kind of thinking in mind, assuming you are playing 9/6 Jacks or Better, do you see any difference between A♦ Q♣ T♣ 8♦ 3♣ and A♠ Q♥ T♥ 7♠ 3♥?

For anyone who would hold just the ace on either of these hands, you’re a hopeless Jacks or Better player. Holding the ace can be correct in certain other games, but not Jacks or Better.

The Basic Strategy play on both hands is to hold the QT. It’s the second-best play in both cases, but AQ is better. The fact that AQ is better than QT in these two hands is because the 3 is suited with the QT. This is known as a flush penalty and is generally only of concern to advanced players. Many players have enough trouble just learning the basic plays without dwelling on the fine points. What makes the hands different is that in the first hand, the 5-coin dollar player is making a nickel mistake versus a 2-cent mistake in the second.

The difference in the size of the mistakes is due to the 8 interfering with the straight possibilities of QT and the 7 not doing so. Why is this important? Well, it’s not if you’re playing the game with a 4,000-coin royal.  But if you’re playing a progressive, holding QT is correct in the first hand when the royal is at 4,685 and above, while in the second hand, holding QT is correct at 4,365 and above.

So, for whom is this kind of analysis important? Frankly, only to a pretty small self-selected group. Some pros learn these things — many don’t. A few recreational players become competent in these distinctions — although it may never be cost-effective for them.

Some of us just plain like studying things. This has been one of my “secrets to success.” The more I know about how and why things work the way they do, the easier it is for me to learn and memorize strategies.

If you think my secret is worthless to you, that’s your right. But in general, the more people study these things, the better their results turn out to be. Whether it makes sense dollars-and-cents-wise if you put a value on your time is debatable. But if it gives you pleasure to gain insight into these games, why the heck not do it?

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Dealing with Anguish

I received the following email recently: “I have been playing a few years and consider myself a pretty good player. I consider myself Bob Dancer-trained and try to play accordingly. I have given up at least six royals going for the high pair. My question is how you overcome the mental anguish of missing the royal. It takes me days to get over it. I am retired, play 10 to 20 hours a week of 9/6 Jacks or Better or 8/5 Bonus Poker. Help me, please. Anguished in Ann Arbor.”

I did some calculation and my best guess is that this has happened to me between 600 and 700 times. But it’s a guess, because I have no recollection of it EVER happening. This guess is based on how many million hands I’ve actually played, on which types of games, and how many were on single line compared to Triple Play through Hundred Play.

We’re talking about a hand such as K♦ Q♦ J♦ 5♦ K♠, where the correct play depends on the game and pay schedule. If you’re playing Jacks or Better or Bonus Poker, like Mr. Anguished is prone to do, you hold the kings. If you’re playing Deuces Wild, you hold the suited KQJ. If you’re playing Double Bonus where flushes return 7 for 1, you hold all four diamonds.

If you hold the kings (whether it’s the correct play or not), once in 1,081 times the first two cards out will be A♦ T♦. Also, once in 1,081 times the first two cards out will be the 7♥ 3♣. As far as I am concerned, these two situations are equally relevant.

After I’ve held the kings and pressed the draw button, my “job” is over for this hand, and it’s time for me to start concentrating on the next hand. The best I can do is to play the hands perfectly. Going back and changing the past is not something I know how to do.

Although I prefer that I end up with four kings on this hand, I’m not too invested in that result. I know that I’ll get the 4-of-a-kind one time in 360 (more precisely three times in 1,081), full houses, 3-of-a-kinds, and two pair more frequently than that, but the hand will stay a single high pair more than seven times out of ten.

I have this type of draw numerous times every week. Sometimes I connect on the 4-of-a-kind and usually I don’t. Over the course of a year or two, it’ll average out pretty well, whether tonight is lucky or unlucky.

I suspect I’ve ended up with a 4-of-a-kind from this kind of position more tha 2000 times in my life. What this also means is that I’ve thrown away the royal more than 600 times from this same position. Drawing three cards to a high pair, you get any specific two cards (i.e. the cards that fill in the royal) one time out of 1,081 and you complete the 4-of-a-kind three times out of 1,081. Over the course of years, the numbers come out very close to this.

How many of this estimated 600 missed royals have I noticed? Exactly zero. Checking to see how the cards would play if I made an alternative, inferior, draw is a huge waste of time in my opinion. Doing this consistently would reduce my speed from 800 hands per hour to about 400. Why on earth would I want to waste that much time? Since I’m playing only when I have the advantage, this is slashing my dollars-per-hour win rate in half. It’s not only worthless information, but it’s expensive to gather. If you’re playing Fifty Play or Hundred Play, it could take several minutes at the end of each hand to work through all of this. Why bother?

Mr. Anguish seems to have the core belief that a missed royal is a tragic thing. He ignores the fact that trying for the royal every time (so that he can be assured of getting it when the cards are just right) would have cost him an extra 6,000 coins for every extra 4,000-coin royal received. He berates himself for not being clairvoyant enough to see the unforeseeable future.

The only reason Mr. Anguish takes the time to do this is to check whether he should feel really, really awful this time. One time in 1,081 he discovers that yes, indeed, feeling really, really awful this time is appropriate. The relief he feels the other 1,080 times is likely minimal.

To me, ignoring the specifics of a “what if” draw comes naturally. Perhaps Mr. Anguish is compelled to do this and can’t help himself. I don’t know. Offering useful advice on how you should deal with your compulsions is something I’m not good at. If this is something Mr. Anguish can learn NOT TO DO, I believe his life will work better.

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Comparing 9/6 Jacks or Better with 9/6 Bonus Poker Deluxe at the Advanced Level

This next semester of free video poker classes at the South Point casino will be on Wednesdays between August 2 and October 4. Each semester I include one game taught at the advanced level. The advanced level is much more difficult than what I usually teach, and is only for players interested in squeezing every last little bit out of the game.

This semester I’m teaching both 9/6 Jacks or Better (JoB) and 9/6 Bonus Poker Deluxe (BPD) at the advanced level. I’m teaching them back-to-back, on the same day, September 6, beginning at noon.

The games are very similar. All pay schedule categories pay the same amount except for 4-of-a-kind (25-for-1 versus 80-for-1) and two pair (2-for-1 versus 1-for-1). These two changes offset each other almost exactly, making JoB worth 99.54% and BPD worth 99.64%.

The reason I have room to teach two separate advanced classes is that both of these games have fewer fine points than most other games, and the ones they have are pretty easy. In addition, about half of the advanced points for the two games are identical.

But there are differences. Games that pay 1-for-1 for two pair go for straights much more often than games that pay 2-for-1 for the same hand.

Today I’m going to list 20 hands. Approximately half of them (maybe exactly half — maybe not) are played the same in the two games. The others, of course, are played differently.

Your job, should you decide to accept it, is to figure out which are which. At the end of the article, I’ll tell you which are which — but I’m not going to tell you what the correct plays are.  Let me give you an example. One of the hands is K♦ Q♣ J♥ 8♥ 7♥. There are two reasonable plays:  K♦ Q♣ J♥ and J♥ 8♥ 7♥.  (If you prefer a third play, you will get value out of the beginner classes — August 2 for JoB —- August 30 for BPD.)

If you think they are played the same, which is the correct play? If you think they are played differently, which play goes with which game? If you think that advanced plays aren’t that important so you don’t need to know which is correct, this particular hand is an intermediate play and should be in the repertoire of every player who plays for money that is important to him.

With available software, including some freebies available online, finding out the correct play on a hand is easy. If you can’t be bothered to check on the right play, you are never going to be able to play these games at the advanced level anyway. I’ll explain each of them in detail during the class.

  1. A♠ Q♥ J♠ T♥ 5♠
  2. A♦ K♣ J♥ T♥ 7♥
  3. A♣ K♣ T♣ 5♣ 3♥
  4. K♦ T♦ 9♣ 6♦ 5♠
  5. A♠ J♥ T♣ 5♦ 2♠

 

  1. K♥ J♠ T♠ 9♥ 5♣
  2. A♦ Q♣ T♣ 9♥ 8♠
  3. A♦ K♠ J♠ T♦ 5♠
  4. Q♣ J♣ T♥ 9♠ 9♥
  5. A♦ J♠ 7♥ 5♣ 4♥

 

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

 

  1. A♦ J♠ T♥ 7♣ 4♥
  2. A♠ K♥ 5♣ 3♣ 2♣
  3. T♦ 8♠ 7♥ 5♣ 4♥
  4. A♠ J♥ T♣ 5♥ 2♠
  5. J♠ T♥ 9♠ 7♦ 5♣

 

The hands that are played identically in the two games are d, g, h, i, k, n, o, p, q, s and t. The others are played differently.

How did you do? If you aced the test, congratulations. You’ve done some work. If you didn’t ace this test, learning these distinctions is very likely within your capabilities. It’s not really that hard. But it takes effort. Whether or not it’s worth the effort is for you to decide.

Posted on 6 Comments

What Can I Say?

Emails and letters from video poker players are part of my life, and often I get the same sort of question or request over and over again. Every month or so I get some version of the following:

Dear Bob:

I’m a huge fan of yours. I’m leaving for Vegas in nine days and counting. I want to know where the pros play so I don’t waste my time on inferior games. If you don’t tell me, it’s because you are a selfish jerk and I’ll never buy any more of your products.

(signed) Appreciative Fan

It’s gratifying to know that I have fans, even though I’m a selfish jerk. But there are many reasons I can’t give Mr. A. Fan what he asks. Let’s look at some of them.

  • Games: There are dozens of different video poker varieties returning over 99.5%. With the right slot club and promotion, any of these may be highly lucrative. No one (certainly not me) knows all of these. If I tell you that Super Double Bonus or Joker Two Pair or Double Bonus Deuces Wild or Double Bonus Plus is currently the best game, do you know these games? If not, are you willing to spend dozens of hours becoming proficient at the game before arriving in Vegas? If not, knowing that the game is a good play isn’t useful information to you.
  • Skill Level: How good are you? Even the best players have a very small edge. And that’s on only a small number of games played under the best conditions. If you haven’t practiced beforehand on a game, you have no hope of playing with an advantage. Playing the same games the pros play is only a good deal for you if you have the same skills that the pros have.
  • Denomination: If you play for nickels, you don’t want to hear about dollar opportunities. (There are no professional nickel players, by the way, unless you count 5¢ Hundred Play games.) If you like to play for $5, the best quarter game is irrelevant.
  • Slot Club Tier: Some casinos have slot clubs that pay more for high-end players. Let’s say a casino rebated 0.25% in cash back for the lower 95% of its players in terms of coin-in, but 0.50% for its top players. Whether it’s best playing there or at another casino where the slot club returns 0.33% depends on your tier level. Sometimes it’s worth playing a slightly lesser game in order to get up to the next higher tier level.
  • Reservations: Where are you staying and will you have a car? Vegas is spread out and Suncoast, for example, is more than 25 miles from Sunset Station.  Anyone traveling back and forth on the freeway between these two casinos has planned his vacation poorly. That’s very different from staying at the Venetian and walking across the street to play at the Mirage.
  • Comps: Do you need to play a certain amount at the casino you’ll be staying at in order to get free or reduced-price meals, rooms, shows, etc.? If you need to play $20,000 daily in coin-in to get the amenities you desire, that requires less than one hour if you’re a $10 player, all day if you’re a $1 player, and an impossible burden if you play for quarters.
  • Progressives: At any given time, at least half of the good plays in town are progressives. I don’t play them, generally speaking, but many pros do. There is no source of good information for the value of progressives at any point in time (unless you’re part of a group that shares such information with each other), and no way to know whether a seat will be available when you get there. Even if I knew the $5 7/5 Bonus Poker game at the Golden Nugget was high enough to be interesting an hour ago, I don’t know if anyone has hit it in the past hour.  And I certainly can’t predict what the progressive level will be tomorrow — let alone nine days from now.
  • Promotions: Double slot club points can turn an unacceptable game into a great one. A drawing for a new car is worth something if you’re going to be there during the drawing, but otherwise useless. Receiving a logo jacket for a royal flush isn’t worth so much if you already have a closet full of 30 unworn casino logo jackets. New promotions arise all the time. I frequently don’t know what promotions will be in effect in a few week’s time, and without that knowledge, I don’t know where the best place to play will be.
  • Other agenda: Are you coming to Vegas strictly for the gambling or are you (or any of your travel companions) planning on fine dining, shows, nice hotels, child care, proximity to certain other locations in Las Vegas, etc.? Getting a dining comp at a restaurant you wouldn’t want to eat at doesn’t do you any good. Playing a slightly lesser game might be worthwhile if it comes with nicer meals, shows, and hotel rooms.
  • For the games I consider best, there are only a few machines. It’s in my interest to keep quiet about what I know or I won’t get a seat. I don’t know about the “jerk” part, but being selfish with information can be very profitable.
  • I simply don’t know the best games everywhere. I’m restricted at some casinos, and I’m not scouting for dollar and lower games anywhere. Players who know of great games “somewhere” often don’t keep me in the loop — for the same reason I’m not telling them what I know.
  • There are hundreds of 15-machine bars across the Las Vegas valley. Most have poor games unworthy of serious attention, but sometimes you can find good opportunities there. I scout the ones within eight miles of my home — which is a small percentage of all the bars. I doubt if you’re thinking of flying into Vegas to play at a small bar.
  • I do respond to financial incentives. Pay me $10,000 and I’ll tell you all of my plays — in Vegas and out. Up that to $20,000 and I’ll tell you WHY each game is attractive to me. No guarantee that any of the games will be suitable for you to play.

These are a few of the things to consider in choosing what game to play and at which casino. I can’t answer the “where to play” question for you without all of this information.

I suggest that you’d be better off if you considered these questions before you made your own decision about where to play.

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Accidental Quadruple Deuces

A version of this article first appeared about 10 years ago.

Regular Deuces Wild, played for quarters, returns $250 for four deuces. Double Deuces returns $500 for the same hand, but takes away elsewhere in the pay schedule. Loose Deuces returns $625 for that hand and Triple Deuces gives you $750. Each of these games can be found in Las Vegas.

How about Quadruple Deuces returning $1,000 for four deuces? Or even more? In 2007, this game existed accidentally for a few months at a large local casino in Las Vegas, but it could have happened anywhere. And while the base Deuces Wild game on which it was found wasn’t all that great, adding 3,000 coins to an every-4,400-hands event adds about 12% to the return. Apparently four players were able to exploit this and keep the information quiet for a couple of months. They certainly didn’t post it on one of the Internet bulletin boards as that would have killed the play in a day or less.

What happened was this (I might have the facts a little off as I am getting this secondhand): There were eight quarter games tied to a progressive. Six of these games had the progressive set normally, which means that it would be collected when the royal was hit. But two of the games had the progressive accidentally attached to the four deuces hand. Apparently, a slot tech got a little bit sloppy one day and nobody who worked for the casino caught it. So, the four deuces hand started at $1,000 and moved up from there.

Since these were ticket-in, ticket-out machines, winning the jackpot merely spit out a ticket and the players could keep playing, so long as the jackpot was below $1,200. And it usually remained at that level because four deuces is a fairly frequent hand with respect to having the progressive rise $200 or more. When the progressive did rise that high, which it did a few times, these players wouldn’t play. They hoped that one of the other machines would hit the royal so everything would look normal. And their luck held. No over-$1,200 set of deuces was hit on either machine.

The way the bubble burst was that someone “not in the know” was playing one of the two juicy machines and happened to hit the royal flush. The nerve of them! When they were only paid $1,000 instead of whatever the meter read, they understandably felt cheated and called it to the attention of the floor people. When it escalated to supervisors, it didn’t take long for the casino to realize what the error was. The two machines were shut down for a while and adjusted. Christmas was over!

I was told about this play after the fact. One of the four players who hit this hard was attending one of my free classes and told me about it. He had just finished reading my Million Dollar Video Poker book in which I write about taking advantage of a similar-yet-different casino mistake.  He wanted to tell me that these errors were still happening out there — if you could find them.  

He asked me if the casino could demand its money back because of the machine overpaying. While first making sure he realized that I wasn’t a lawyer and couldn’t speak authoritatively on the subject, I told him that I didn’t believe the casino could effectively take any civil or criminal action against him. If the casino could not show that he was in cahoots with the slot tech who made the improper settings, then the casino was stuck.

What the casino COULD do, however, was restrict him from the property if it so chose. Assuming these four players used their slot club cards while playing this game, it wouldn’t be difficult for the casino to check their records and determine who was playing these machines heavily over the past few months. Even if the players didn’t use their cards, they were surely caught on surveillance tape.

The casino could well decide that they didn’t want these players around anymore and that would be perfectly legal. Casinos in Nevada can restrict the play of anyone, so long as it’s not based on things such as race, gender, or national origin.

Of course while this was going on, the players couldn’t be sure how it would all turn out. They were regularly winning $2,000 a week or more apiece, week after week, and that’s big money for quarter video poker. Winning like that is EXCITING, especially since you don’t know how long it’s going to last.

I wasn’t there, but there had to be discussions about how to share time on the machines, how to keep it quiet from others, and how much they could play without the casino employees noticing that these same guys were playing the same machines EVERY DAY all day long. There are no unique best answers on how to do this and opinions vary widely.

However they decided to do it, it was impossible to predict when a casino employee would put two and two together, when other players might find out and demand a piece of the action, or when someone accidentally hit the wrong kind of jackpot at the wrong time. There would have been all KINDS of things to worry about.

Mistakes continue to happen in casinos. To exploit them, you first have to FIND them. Players who do a lot of scouting have the best chances to find these kinds of mistakes. Players who don’t scout are left with complaining that other people find these things.

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Which is the Better Place?

I received an email asking which of two casinos was the better choice for this player.

Casino A had 9/6 Jacks or Better with a 0.1% slot club with no multiple points ever. Casino B had 8/5 Bonus Poker with a 0.25% slot club, and he only played when there were triple points. He said the food comps at Casino A were better, but he wasn’t there for eating. He was there for making money.

He told me he played both games perfectly. This is extremely unlikely. Although 9/6 Jacks or Better is one of the easiest video poker games to memorize, 8/5 Bonus Poker isn’t. I would estimate fewer than one in a thousand 8/5 Bonus Poker players play the game perfectly. But letting that assumption slide, let’s see what we have, assuming perfect play.

 

Casino A:      9/6 Jacks                   99.54%

Slot Club                   00.10%

Total                           99.64%

 

Casino B:      8/5 Bonus                  99.17%

Slot Club                   00.75%

Total                           99.92%

 

The obvious answer, then, is that Casino B is considerably better. For a dollar player who plays 600 hands per hour, Casino A is $8.40 per hour more expensive than Casino B.

The obvious answer is incorrect, however. For this player, it is not the case that Casino B is better. Why not? Because his stated goal is to make money and that means that both casinos are TOTALLY unacceptable. Not less acceptable; TOTALLY unacceptable.

A return of 99.92% is not “close enough.” It’s impossible to end up a long-term winner when the casino has any advantage at all.

If the casinos had other promotions, however, that could change things. Perhaps one or both send periodic checks in the mail on the order of “come in during the first two weeks of the month and we’ll give you $50 just for showing up.” Or perhaps they have regular drawings and the player has a decent shot at winning something valuable. Either or both of these promotions could make the casinos potentially profitable. But without such promotions, the house has the edge.

For most players, this would not be an insurmountable problem. Few players demand that casinos be potentially profitable. (No slot player, for example, has any realistic expectation of being an overall winner. They hope to win THIS TIME, but they know that in the long run the casino will most likely win from them.)

Many players value the gambling experience and count the free meals and rooms as part of the deal. For players like that, both casinos offer an excellent gamble which is better for the player than can be found in many casinos. Which casino is better might well depend on how much better the food is at the casino with the lesser game and how important that is to the player. To some people having a quality meal is extremely important. Others don’t care that much.

Or perhaps how nice the rooms are. Or maybe how smoky the casino is. Or possibly “easier to get to.” All kinds of solid reasons exist for choosing one place over another.

What should this particular player do then? The choice is between either not playing, or lowering his expectations about whether or not this game will be profitable. It would not be terrible should he decide to play anyway because he really enjoys it. After all, people pay to do many pleasurable things. And if gambling is pleasurable, it’s okay to pay for that too. But I encourage you to be realistic about whether you are playing for profit or playing for pleasure.

In similar cases, I ALWAYS choose not to play. I’ve played video poker for close to 25 years and it’s isn’t a “special treat” to me. I enjoy it. But I can go without playing if the odds aren’t there.