Re: Odds house vs. four of a kind
Do you mean what is the chance of a full house on the flop turning to quads by the river?
If so, and you hold XX while the board is XYY, you could get four of a kind if either of the last two cards are X, or if both the last two cards are Y.
There are 47 unseen cards, 1 of which is X and 2 of which are Y. These 47 cards can be combined 47*46/2 = 1,081 ways. 46 of these ways include an X (X with any other card, including Y), so that's 46/1,081 = 2/47 = 4.3%. There is only 1 way to get both Y's, so that's 1/1,081 = 0.1%.
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