12 responses

  1. Gary Grund
    February 13, 2018

    “Notice that in my thinking, the fact that I was ahead or behind any given amount in the past year was not part of the equation at all.”
    Bob, question about this quote from your article: In your vast experience have you ever encountered a situation where a player was running bad for a long time only to find out later that the machines were rigged or malfunctioning? The longer your result varies significantly from the expected result the higher the probability that something is up. Just curious, thank you!

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  2. Liz
    February 13, 2018

    Bob wrote: “My assumption going forward is that things will be “average” in the future.”

    You can make that assumption, but it is rather coarse. I think it would be wiser to assume you will be somewhere in a 3SD distribution of possible results. You can get the 3SD range with software but you can also get it with a calculator if you know the variance and number of hands you expect to play, then 3SD = +/- 3 x square_root(variance x hands). Example: say you have an edge of 1% and a variance of 30 and will play 100,000 hands. The average result will be 1% of 100,000 bets or 1000 bets. The 3SD range will be +/- 3 x square_root(30 x 100,000) or +/- 5,196 bets. So, your 3SD range of possible results will be -4,196 to +6,196 bets. You can see you have an edge but you can also see you have a large risk of losing money even though you have an edge. 3SD covers 99.7% of the possible results, so there are still 0.3% or so of possible outliers. This does assume a “normal distribution” which is a reasonable assumption if you are playing more hands that the longest cycle in your game. If you are playing less that a cycle, you should discount (not count) the value of that cycle, so say if the royal cycle is 45,000 and you are only playing 40,000 hands, you should not count on getting a royal. If you check out jazbo.com he has some plots of possible results in video poker.

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  3. Jim Linton
    February 13, 2018

    Bob,

    I have been reading your Posts and books for many years. Although I don’t always agree with you, I feel you are a great writer and look forward to reading them each week. Thanks

    Jim

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  4. Kevin Lewis
    February 13, 2018

    Casinos should use a very, very simple rubric when deciding whether to let Bob and others like him play. If they want to play, then pretty much by definition, letting them play will cost the casino money. If they accept restrictions and still want to play, then those restrictions aren’t tight enough. Simple. Bob’s extremely skilled and knowledgeable. If he wants to play at your casino, that is ipso facto proof that he figures to win money from you. So why let him?

    I’ve asked this question many times, directly to Bob and indirectly, and never received a straight answer. Why should ANYBODY let Bob play? It’s the same situation as the best blackjack players–no casino has any sane reason to allow them to play, so they don’t. Why is that different for Bob?

    I’m rather curious as to what Bob’s argument was that he made to “Casino A” that he should be allowed to continue to play there. The only possible justification I can think of is that Bob’s presence is some kind of revenue enhancer–counterbalancing the tens of thousands he’ll win from the casino. I can’t see how that would work. His presence and existence doesn’t in and of itself encourage people to play–or if it does, that costs the casino that much more money, if they take his advice to heart!

    What i think Bob is failing to mention–and with good reason, I imagine–is whatever bargain with the devil he has to make to be allowed to play (at certain casinos, at least). In my experience, if there’s one thing the casinos don’t like, it’s people who are consistent winners. If you’re a consistent winner and everyone knows it, you can’t really count on convincing them that you’ve just been lucky or that you’ll reform your ways and start losing. So what kind of “deal” do you have to make?

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  5. CTheWorld
    February 13, 2018

    Kevin Lewis wrote: “If he wants to play at your casino, that is ipso facto proof that he figures to win money from you. So why let him?”

    One reason might be that part of his winnngs come from other players, not the casino.
    If the payback plus slot club plus mailers adds up to 99.8% and the payback from drawings is 0.4% then both come out ahead by letting him play there. (Other players in the drawings come out behind if Bob plays, but those players typically don’t really know that.)

    Is that scenario the case at “casino A” in this article, I have no way of knowing; but it’s certainly one scenario where letting him play makes sense for both.

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    • Kevin Lewis
      February 14, 2018

      That’s kind of my point about the drawings–whatever money the casino allocates to those drawings is to attract new players and to encourage existing players to play more/come back. If the Bobs and Charlies win half of the drawings, that detracts from the value of the promotion–to the casino AND the players. Thus, I can’t see how the casino would be happy with the drawing soundtrack being: “And our winner is…Bob Dancer. Our next winner is…Bob Dancer. The next winner is…Bob Dancer.” Bob did, in fact, mention a possible willingness to cap his drawing winnings as a remedy–but the trouble with that is that the other players wouldn’t know that, and might still stay away if they saw he was going to be playing.

      Look at it this way…if you heard that there was a promotion tomorrow where you got a drawing ticket for a new car for every $10,000 coin-in, would the knowledge that there would be another player there putting in $8,000,000 discourage you?

      Reply

  6. Dunbar
    February 14, 2018

    Liz wrote, “3SD covers 99.7% of the possible results, so there are still 0.3% or so of possible outliers. This does assume a “normal distribution” which is a reasonable assumption if you are playing more hands that the longest cycle in your game.”

    Liz, it takes way way more than a cycle for the results to begin to look like a ‘normal distribution’. Say you play 8/5 Bonus Poker with enough cashback or other perks to make the game 100%. Here is what the distribution of results would look like after 50,000 hands:*

    RESULT PROBABILITY
    lose > 5SD 0.00%
    lose 4SD to 5SD 0.00%
    lose 3SD to 4SD 0.00%
    lose 2SD to 3SD 0.48%
    lose 1SD to 2SD 15%
    lose up to 1SD 39%
    win up to 1SD 30%
    win 1SD to 2SD 12%
    win 2SD to 3SD 3.00%
    win 3SD to 4SD 0.54%
    win 4SD to 5SD 0.08%
    win > 5 SD 0.008%

    Note the non-normal skew. Even though it’s an even game, 54% of the time you will end up a loser after 50,000 hands. The chance of being outside 3SD’s is more than twice what a normal distribution would predict. Happily, virtually all of that occurs on the +3SD side. The chance of losing more than 3SD’s is almost zero.

    Losing more than 2SD’s is a fairly rare event, about 0.5% or one in 200. You’re substantially more likely to finish with a greater than 3SD win than with a loss greater than 2SD!

    –Dunbar

    *The table data comes from 1,000,000 trials using DRA-VP 2.0.

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  7. Skippy
    February 14, 2018

    I think about this holistically and individually … On the whole, “t” thousands VP players will play $x and win $y, leaving $z in gross profit from the machines. Most players are average in their play (e.g. not experts, know the basics, don’t understand penalty cards, etc.) Within those “t” thousands of players, some are very poor and have a winning percentage that is 1-, 2- or 3-standard deviations below the mean player. These are players the GM wants to return again and again, by offering more perks, nice atmosphere, drawings, etc.. Then there are players like Bob Dancer and Charlie who are very good and have a winning percentage that is 1-, 2- or 3-standard deviations above the mean player. If a GM cuts these, the overall profitability of the gaming floor will improve as the high payback machines are left for the average players and the poor players who don’t know the nuances of what to hold based on the pay table.

    (The typical casino GM has the ability to differentiate who believes they can win at their casino but isn’t and who is actually coming out ahead. Sometimes they don’t fully review the data, evidenced by banning someone who hits 2 Royals in a month on a high limit machine, while other times they know people by reputation and long-term history, or even from a different property.)

    If the GM cuts too many Charlies & Bob Dancers, word gets around that the promotions are stingy and it hurts the reputation, thus giving a negative impression to the meat & potatoes average players. If the GM lets the Charlies & Bob Dancers have full reign, they are playing at a loss to the casino, word gets out that they hog the good machines and win all the drawing prizes so-why-bother. These are soft measurements of success, not hard data, so a GM has to use his/her intuition to gauge the floor.

    The GM at a smartly run casino has a goal to maximize both short-term and long-term profit. It’s a tricky balance for both the GM & the Charlies because they have their own motivations — plus a GM, while trying to appear to address each customer as individuals, is busy every day with general management issues. That’s where negotiation comes in.

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  8. Jeffrey
    February 14, 2018

    But then, if you ban Charlie and Bob and leave the high payback machines, I’m not sure if the average player would recognize the high payback machines anyway. I suppose the casino could put up a sign over them that said “99% Payback.”

    Reply

  9. Al
    February 14, 2018

    I basically agree with the entire article except for the statement “For many people, being behind $40,000 would create bankroll issues.” The fact is that this would “create bankroll issues” for MOST people, the overwhelming majority. Most people have a “trip bankroll” of less than $1,000, and probably would not ever risk or allocate more than $5,000 for gambling, simply because most people are not rich and do not have a ton of money saved away because they never earned that much and never had an astronomical gambling or lottery win. No offense intended, but this is yet another instance of someone in a higher financial tier forgetting that most people are not like them monetarily. And regardless of one’s financial tier, there is the issue of financial responsibility. We should never risk all our money on gambling, so if we’ve lost a certain large amount, we should stop gambling, either totally for now, or else on anything that isn’t very low risk.

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  10. Janice
    February 15, 2018

    One person mentioned the possibility of machines being rigged/malfunctioning. Over the past few months, I have noticed inconsistencies of points earned between what I have played and what the casino’s computer records show. I have mentioned this to them. I have jotted down numbers, I have taken pictures of the points earned prior to moving to another machine. Only yesterday, this happened again. I needed to earn 300 points to win a prize. After accruing over 700 points, I went for the prize only to be told that I had earned 240 pts. Have others noticed these discrepancies? The only way/reason I noticed the inconsistencies, is because I was playing to earn prizes. When I would go to get the prize, I was told I had insufficient points. I also asked this casino why I hadn’t go up in levels. Her response, it is not how much you play, it is a multitude of factors such as the money you put in, the length of time played…and so forth. Why can’t they tell us how our tiers are judged? At least at this casino?

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  11. Patti
    February 16, 2018

    In reply to Janice’s comment about slot readers not registering all points – YES, this does happen. A nationwide casino was running a promotion from July 1 – November 30 2017 and I noticed after my third visit that I was not earning the points correctly relative to play (I could log into my account online and check balances). It was a simple “earn 5 player points, get 1 promotion point”. I first took my concerns to my local casino, who didn’t even know they were running this promotion! It took 3 weeks of back-and-forth emails with the local casino before they acknowledged the promotion, then admitted they couldn’t help me with the dilemma. This whole time I was keeping detailed records of player points earned vs. promotion points. I asked that my complaints be escalated to the corporate office – which it was. Took another few weeks to get someone there to address my concerns (still keeping detailed records). Finally, in October, I started tracking each visit specific games played, coin in, coin out, player points earned at each game. My corporate contact – really nice person named Sara – would pull my play history (there was a 3 day lag of computer reporting). I would email Sara my detailed play for the day – she would email me my play history for that day – and we would have a phone call to compare and contrast. She took the results to the IT department and it was determined that I was NOT earning points correctly according to the promotion (and money was on the line!). One day she determined I should have earned 30 promotion points, the system only credited me with 27. We determined that every day of play I was shorted points and these points were to be converted to free play/comp at the end of the promotion! In the end, IT could not figure out why it was shorting me (and my husband) and they asked me at the end of the promotion, to tell them how many promotion points I thought my husband and I had earned and they converted our points into free play/comp according to my detailed records! The funny part is, I asked Sara if she had gotten many complaints about points being shorted and she said less than 10 people had complained – millions of people participating in this promotion were leaving money on the table and didn’t even realize it!

    So yes, you probably are getting shorted! Take your detailed records to the players club and ask that they run your play history (they can do it) and escalate your concerns to the top of casino management if you have to! It’s your money you’re playing to earn the prizes you’re entitled to!

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