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4 November, 07:23

Suppose that two cards are randomly selected from a standard 52-card deck. (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement?

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  1. 4 November, 09:23
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    (a) 1 / 17 (b) 1/16.

    Step-by-step explanation:

    (a) Probability (first car d is a club) = 13/52 = 1/4

    Probability (second card is a club) = 12/51.

    So the probability (first and second are clubs) = 1/4 * 12/51

    = 12 / 204 = 1/17 (answer).

    (b) Probability (first car d is a club) = 13/52 = 1/4

    Probability (second card is a club) = 13 / 52 = 1/4

    So the probability (first and second are clubs) = 1/4 * 1/4

    = 1/16. (answer).
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