what is probability that randomly selected poker hand contain exactly 3 aces given that it contain at lest 2 aces
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There are 2,598,960 five card poker hands. 1,712,304 have no Aces, 778,320 have one Aces, 103,776 have two Aces, 4,512 have three Aces and 48 have four Aces. Therefore 108,336 hands have at least two Aces, so the probability you are asking for is or or about 4.16%.
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