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17 June, 06:41

A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probability of choosing 3 king cards?

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  1. 17 June, 10:16
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    1/5525 ≈ 0.018%

    Step-by-step explanation:

    There are 4 kings in a standard deck of 52 cards.

    The probability that the first card is a king is 4/52.

    The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).

    The probability that the third card is a king is 2/50.

    The probability of choosing 3 king cards is therefore:

    P = (4/52) (3/51) (2/50)

    P = (1/13) (1/17) (1/25)

    P = 1/5525

    P ≈ 0.018%
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