Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

In a five card poker hand, if two of your cards are aces, what is the probability of a full house?

Update:

There is no specification of exactly 2 aces.

1 Answer

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  • M3
    Lv 7
    9 years ago
    Best Answer

    by two aces, i take it that it means exactly 2 aces.

    n[full house with 2 aces ] = 4c2 *12c1*4c3 = A

    n[2 aces] = 4c2*48c3 = B

    P[full house | 2 aces] = A/B 48/48c3 = 3/1081 <-------

    your AD

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    if 3 aces are also allowed, just add

    n[full house with 3 aces] = 4c3*12c1*4c2 to = A"

    n[3 aces] = 4c3*48c2 = B"

    and compute (A+A") /(B+B")

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