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.