Re: If I have KK what are the chances I\'ll run into AA?
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Is it (4/50*3/49) * 9 players = 1 in 22.7?
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Close. That is the average number of AA hands you encounter. That is greater than the probability of encountering AA because it double-counts the possibility of running into two players with AA. The probability of that is (9 choose 2)/(50 choose 4). The probability that you run into at least one player with AA is 9*(4/50)*(3/49) - 36/230,300 = 1 in 22.8.
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