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Introduction to Probability

AP Statistics· difficulty 4/5

From a deck of 52 cards, 5 are dealt without replacement. The probability of getting exactly two aces is

  • A

    (525)/(42)\binom{52}{5} / \binom{4}{2}

  • B

    2/522/52

  • C

    (4/52)2⋅(48/52)3(4/52)^2 \cdot (48/52)^3

  • D

    (42)(483)/(525)\binom{4}{2}\binom{48}{3} / \binom{52}{5}

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Explanation

Hypergeometric: choose 2 of 4 aces × choose 3 of 48 non-aces, divided by total 5-card hands.

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