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25 October, 08:37

Two cards are chosen from a standard deck of 52 playing cards without replacement. What is the probability that the first card is an ace and the second is a king?

A. 1/169

B. 1/221

C. 4/663

D. 103/663

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Answers (1)
  1. 25 October, 08:58
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    For the first draw, the probability of an ace is (4 / 52).

    Now there are only 51 cards left in the deck.

    For the second draw, the probability of a king is (4 / 51).

    The probability of both events is

    (4/52) (4/41) = (16/2,652)

    Divide top and bottom by 4:

    (16/2,652) = 4/663. That's choice-C.
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