Ask the Wizard #63
Jarin from San Diego, CA
Physically all you have to do to change the return of the slot machine is change the EPROM chip inside. Assuming the casino manager had all the EPROM chips, which I think they sometimes do, they could make the change themselves. However in a major jurisdiction the change would have to be reported to the gaming authorities, not to mention internal paperwork. The random number generator is constant, it is what the program does with the random numbers that determines the return.
No. I have thought about it but I’m afraid that if I ordered a large quantity I would get stuck with most of them.
Bradford Wiley from Winthrop Harbor, U.S.
Thanks for the compliment. I just saw the game at the California casino here in Las Vegas, but it wasn’t open yet. I got the rule card and will work on when I have the chance. At this time I have no information about it at all.
J.A.S. from Las Vegas, USA
It depends whether there is a shuffle between the blackjacks. Assuming there isn’t the probability would be 8*(16/52)*(4/51)*(15/50)*(3/49)*(14/48)*(2/47) = 0.000044011058. The number of other players doesn’t matter, except if they cause a shuffle.
Bruce from Mahomet, Illinois
The probability of any two specific players both having a four of a kind is (13*COMBIN(12,3)*43*9*COMBIN(41,3)+13*12*11*4*6*10*COMBIN(41,3)+13*12*4*11*COMBIN(41,3))/(COMBIN(52,7)*COMBIN(45,7)) = 0.000003627723. There are combin(7,2)=21 ways to choose 2 players out of 7. Avoiding the case of 3 or more four of a kinds the probability would be 0.000076182184.
Jack from Detroit, USA
Thanks for your support. I encourage everyone to click through the banners to help support the site. To answer your question, no, it is not possible to get the same card back. The machine represents a fair deal from a single deck. Once you discard a card you can’t get it back. To the answer the second question, no, the casino can not change the probability of each hand. The video poker machines deal a fair game. How often you get each hand depends on the random draw of the cards and your skill in playing them.
There are 10 cards left of the same suit, and 49 left in the deck. So the probability is combin(9,2)/combin(49,2) = 36/1176 = 0.0306.
Tim from Springfield, IL
The double up feature is truly fair and has no house edge. This is one of the few times I say you can go either way and just do what you want. From what I know of how slots are programmed the cards you get in the double up screen are not what you would have got on the next hand. Random numbers are constantly being drawn and those chosen at the exact moment you hit "deal" determine what cards you get.