a b 36 hands Four of a kind 624 hands Full house 3 744 hands Flush 5 108 hands Straight 10 200 hands Three of a kind 54 912 hands Two pair 123 552 hands One pair 1 098 240 hands Other hands 1 302 540 hands P three of a kind x P two pair x probabilities are mutually exclusive That is the 36 straight flushes do not include the 4 royal flushes and the 5 108 flush hands do not include the better