The probability that the top and bottom cards of a randomly shuffled deck are…

1996

The probability that the top and bottom cards of a randomly shuffled deck are both aces is:

  1. A.

    4/52 * 4/52

  2. B.

    4/52 * 3/52

  3. C.

    4/52 * 3/51

  4. D.

    4/52 * 4/51

Attempted by 4 students.

Show answer & explanation

Correct answer: C

there are 52 cards in the deck and 4 aces.

the probability that the top card is an ace is 4/52. once the top card is an ace, only 3 aces remain among the remaining 51 cards.

therefore, probability that the bottom card is also an ace = 3/51.

required probability = (4/52) * (3/51). hence option c is correct.

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