AA vs KK Heads up

[BruceZ]

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There are 6 ways to get AA out of 1,326 possible pocket cards. Given that has happened, there are 6 ways to get KK out of 1,125 pocket cards.

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6 ways to get KK out of C(50,2) = 1225 pocket cards.

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There are two ways for it to happen (either one player or the other can get the Aces) so the answer is 2*6*6/1,326*1125 = 72/1,491,750 or 1/20,719.

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12/1326 * 6/1225 =~ 1/22,560 or 22,559-to-1.