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The worst case for a possible straight flush is holding something like A2s, AKs, A5s, etc., where there's only one possible way to flop the straight flush. In that case, the probability is one in 50C3, or 19600. The best case is 45s..TJs, which is 4 in 19600, because there are 4 ways to flop the straight flush. Hands like 58s are 2-ways, hands like 79s are ...


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There are 40 straight flushes in a deck: 10 per suit (A-5, 2-6, ... , 10-A) times 4 suits. For a random draw of 5 cards (e.g. your 2 hole cards plus the 3 flopped cards) there are 2,598,960 possible combinations: (52! / 47!) / 5! Since 40 of those are straight flushes, the odds of flopping a straight flush are: 1 in (((52! / 47!) / 5!) / 40) = 1 in ...



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