Secondly, I am wondering which, if any, online casinos currently advise the player of a shuffle in blackjack (multi-deck, of course). If you have indeed devised a unique playing strategy for each pay out schedule, would you mind sharing that info with us? Otherwise, the probability of forming any hand should be the same in that type of game, no matter what the pay outs are. Why would this discrepancy exist? It seems that the only possibility is that the game is being played with a different strategy. For example, on the first jacks or better chart, the probability of forming a three-of-a-kind is 0.074344, but on the second that same probability is listed as 0.074449. I have noticed in your tables of probabilities and expected returns for video poker, that the probabilities (and corresponding number of hands) for each hand vary for the same type (jacks or better, for example) from one pay out chart to another. First of all, thanks for your very informative, comprehensive, and overall helpful site.
