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Question of the Day - 07 March 2019

Q:
I play thousands of hands of Deuces Wild daily and have been doing so for 20 years. I am banned from some casinos. I can play at a certain location for months or even years and then the machines just die and you cannot win. In a short period of time, everyone walks away. The pay schedule is still the same. I know there are cycles, but they don't occur on all the machines I play at the same time. My friends have the same problem, so it's not just me. Right now, I'm having this problem. On Dec 11, 2018, the machines stopped paying. What gives? I had some of the machines over the years checked by Nevada Gaming and they said the machines were in the legal limits. Something strange happened when I had machines checked at Sams Town recently. If I wanted to know the results I needed a court order? WHY? This never happened before.
And
Can casinos turn the slots to make them pay more, for example, during the Super Bowl or a big event, where there are a lot of people in the casinos playing lots of  video poker and slots? Just seems funny that you can be winning one day or even over a few days, then like a light switch ... NOTHING.. Not even 3-of-a-kind playing VP.
 
A:

We asked Bob Dancer to write the answer to today's QoD, which he's always happy to do, being a teacher at heart. 

Take it, Bob.   

It’s called variance. Assuming you’re playing Full Pay Deuces Wild, four deuces should come around on average every 4,909 hands on average. If you’re playing a different pay schedule, the frequency will be a little different.

If you play 100 “deuce cycles,” meaning 490,900 hands, it will take you about a year if you play 1,000 hands per hour and 20 hours a week. In that time, you’ll get “about” 100 sets of deuces.

Check out the following chart. Column C shows the chances of getting exactly 90 sets of deuces, exactly 91, etc., up to exactly 110. Column D shows the chances of getting exactly those number of deuces or fewer.

In the bold line in the center, you’ll see the chances of getting exactly 100 sets of deuces. It’s a tad less than 4% of the time. It’s more than any other number, but it’s still only one in 25.08 times (shown in column E).

Since “only” 85.289% of the time do you get 110 or fewer sets of deuces, that means you get more than 110 sets almost 15% of the time. You also get fewer than 90 sets of deuces about 17% of the time.   

A

B

C

D

E

         

Number of

Chance for

Chance for

Cumulative

Inverse

Successes

1 Hit

Total Hits

Chances

of Total Hits

         

90

0.000204

0.025039

0.17136

39.94

91

0.000204

0.027516

0.19888

36.34

92

0.000204

0.029909

0.22878

33.43

93

0.000204

0.032161

0.26094

31.09

94

0.000204

0.034214

0.29516

29.23

95

0.000204

0.036015

0.33117

27.77

96

0.000204

0.037516

0.36869

26.66

97

0.000204

0.038677

0.40737

25.86

98

0.000204

0.039466

0.44683

25.34

99

0.000204

0.039865

0.48670

25.08

         

100

0.000204

0.039865

0.52656

25.08

         

101

0.000204

0.039470

0.56603

25.34

102

0.000204

0.038696

0.60473

25.84

103

0.000204

0.037569

0.64230

26.62

104

0.000204

0.036124

0.67842

27.68

105

0.000204

0.034403

0.71283

29.07

106

0.000204

0.032456

0.74528

30.81

107

0.000204

0.030332

0.77561

32.97

108

0.000204

0.028085

0.80370

35.61

109

0.000204

0.025766

0.82946

38.81

110

0.000204

0.023423

0.85289

42.69

 

So even though you’re “supposed” to get 100 sets of deuces, due to the laws of randomness, the exact number you get can fluctuate quite a bit. If you’re 10 sets of deuces behind, that’s $2,500, assuming you’re playing for quarters. If you’re 10 sets ahead, that’s $2,500 in the other direction -- but no one complains about that.

We could make a similar chart for royal flushes. Over the course of a half-million hands, your net score will be dominated by the number of royals and sets of deuces you can get. And every year it’ll be a different number.

Within that year will be periods of time where you get lots of deuces. I’m sure you’ve had days when you’ve hit four or more sets of deuces and you played nowhere near the number of hands it’s “supposed” to take. Likewise, there are dry spells where you can’t buy a set of deuces. That's what you’re going through now.

When you’re in the middle of a dry spell, there’s no telling when it'll turn around. You might get four deuces on your next hand. You might go another week. You just don’t know. Changing machines or casinos won't change that.

The casino isn’t doing anything nefarious. The machine is just dealing cards. If you’re playing correctly, the long-term average will be about once in 4,910 hands. But over a few weeks or so, anything can happen.

Almost certainly, nothing mysterious happened on December 11 or any other particular date when your machine died. Other players playing the same machines at a different time of day did really well. This is just the way randomness works. If you’ve been gambling 20 years, I’m sure you’ve experienced many dry spells along the way. It’s simply part of the game and part of the nature of randomness.

 

No part of this answer may be reproduced or utilized in any form or by any means, electronic or mechanical, without the written permission of the publisher.

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Comments

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  • Dave Mar-07-2019
    Wait...WHAT????
    From the third paragraph above:
    
    > If you’re playing a different pay schedule, the frequency will be a little different.
    
    Payouts will be different but the frequency remains the same. 

  • slickmv Mar-07-2019
    Hold up, Dave
    The frequency of *dealt* results is the same regardless of the pay table, but the distribution of *final* results depends on the "hold or draw" strategy used by the player, which *should* depend on the pay schedule, hence the sentence you quoted.

  • Dave Mar-07-2019
    Oh.
    Slick-
    Yeah, that makes sense. I guess I’m not enough of a VP player to have interpreted what he was saying. 
    Thanks. 

  • Pat Higgins Mar-07-2019
    Dancer's VP Answer
    Just wondering if over time I were to play say 500,000 hands at a $.25 VP machine with 5 coins on each play, what would be the theoretical loss over that long period of time.  Just Curious.

  • Toni Armstrong Jr. Mar-07-2019
    Misery loves company
    To the player who wrote the original question.... I've been playing VP for 20 years as well. Although not as much as you (I go 2-4 times/year), I am a dedicated Deuces Wild player. Although I don't play 1000 hands/hour, I play steadily and I always use the strategy card. My traveling companions also play, and all of them have had multiple royals over the years, as expected. I have been waiting 20 *YEARS* and still have not been dealt even one royal. Auntie Jean Scott would agree - this frugal gambler is on the truly terrible end of the bell curve when it comes to the statistical probabilities!

  • Frank Mabry Mar-07-2019
    Random?
    Are computers really "random"? Is it based on the moment you push a button?

  • Lucky Mar-07-2019
    Lucky
    The questioner seems more to be complaining that he is on a losing streak, and it is caused by nefarious actions by the casino.  Why would they take a chance of getting shut down when they have a license to take your money without cheating.  Luck is where you find it, and you usually need it to win, unless you play like Bob does.  I was at Ballys late last year, and playing one of the 8 1$ progressive machines, DDB.  The progressive was over $5500.  I sat down and within 10 minutes got 4A+3 for $2k.  Right after I hit that, a person next to me said that machine was now dead, they never pay large hits  one after the other.  I asked him what the difference was between his machine and mine, and he said the "casino makes sure they do not hit very much, and for sure they do not let it happen in the same week".  While he was saying that, I hit the Royal.  Right after, all the machines in that group were vacated. Just goes to show you, most folks think the casino cheat.

  • Brent Peterson Mar-07-2019
    Theoretical Loss
    Pat Higgins
    
    The answer depends on the VP game and pay schedule. Given Bob's assumption that the player was playing full-pay deuces(FPDW), I think the theoretical loss would actually be a gain. You'd be putting $625,000 through the machine playing 500,000 at $1.25 a spin. FPDW has a theoretical return of 100.76% with perfect play. With slightly less than perfect play(100.7% return), you'd win $629,375. That would be a profit of $4,375 not counting any card benefits you may receive from the slot club. Playing 1000 hands an hour, it would take 500 hours to play 500,000 hands. That turns out to be about $8.75 an hour. Again, not including slob club benefits. My math may be wrong, but I think it's close.

  • DwWashburn9 Mar-07-2019
    Me or your own eyes?
    This reminds me of the Marx Brothers' comment "Who are you going to believe, me or your own eyes?" Strictly Slots magazine is always fielding questions like this and their answer is always "What you are experiencing is a coincidence".  The fallback is always that the odds work out "over the long run" which is supposed to be millions of hands.  Who plays millions of hands in one sitting?  Machine #2 or Casino #2 doesn't know that you played 10,000 hands previously.  And it can't be "coincidence" if thousands of people have experiences that are almost identical.

  • James Mason Mar-07-2019
    Unexpected Royals
    I love these stories. When I first started playing I believed the machines were fair(they are). My funniest result was a AZ Charlies Decatur about 20 years ago playing 25 cent 101% Jokers on the bank with 10 slant tops. When I got there only one machine was available. When I sat down, the nice lady next to me politely said "honey you do not want to play that one is just hit a royal." I smiled, put in $20 and 5 hands in, much to my surprise, hit a royal for $1175. The expression on her face "priceless."  

  • O2bnVegas Mar-07-2019
    No fun
    To the questioner:  On December 11, 2018, lady luck came down and smacked you up side of your head and said "No more soup...er Deuces for you, fella."  THAT's how it works.  Luck and that's it as far as hitting the big ones.  
    
    Bob Dancer's advice applies to lowering the house's edge--conserving your money on certain games using certain strategies, but doesn't guarantee the big hits (Four Deuces or Royal Flush).  Only luck.
    
    Ask any blackjack player.  Favorite casino, favorite table, favorite dealer.  Best game, best strategy used.  But 'tonight' the dealer gets blackjacks and the player gets zip hand after hand after hand.  Or player is winning and winning, but suddenly it turns south until chips are all gone.  Who can say why?  It happens.
    
    You've played "months or even years", every day?, before your winning streaks stop?  Sheesh, be glad.  Stop calling the NGC.  You must be a real pain of a customer.  It can't be much fun for you.
    

  • Ray Mar-07-2019
    Amazing
    I find it incredible that people who claim to play all the time seem to know nothing about what's going on in the casino, especially at Video Poker. Does the questioner actually know how VP works? Bob probably needed to give him a short course in what happens when you hit the deal (and draw) button. I ask those who think the casino cheats at VP to explain how they think the casino accomplishes that.

  • Kevin Lewis Mar-07-2019
    HOWEVER...
    The standard (tiresomely so) response to anyone who has experienced terrible results and is suspicious of the integrity of the game (whichever game we're talking about) is "you just don't understand variance, you ignorant putz" and a sniff of disdain. The effect of this is to mask any actual cheating that occurs--and I think it's incredibly naive to assume that casinos don't cheat or even that they rarely do.
    The question is, then--at what point do we become suspicious? How bad do our results have to be before we start to smell a rat? people who make their living flogging gambling books (etc.) will tell us that that point is essentially "never," because we can't experience enough iterations in our short lives to say that an anomalous net result isn't due to variance.
    But let me ask you this: I was at Caesar's Tahoe many years ago, bought in for $100, and proceeded to lose SEVENTEEN hands in a row. Was I being cheated? Probably not. Should I have kept on playing against that dealer???

  • O2bnVegas Mar-07-2019
    To Kevin
    Kevin, I've been there and done that, got the tee shirt, wore it out, as they say.  
    
    Stay with that dealer?  Heck no, after a lousy run like that at blackjack I move.  Not blaming the dealer, just that those cards are not going to turn for me, my thinking.  I tip well, so dealers like for me to stay at the tables but I can't if the cards are bad and they know that.  Can't say there is any rhyme or reason, but why keep eating something that tastes rotten?  And often things will be better at another table.  Makes no sense, but that's my experience.