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29 February, 01:46

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

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  1. 29 February, 01:58
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    (a) without replacement:

    P (S) = 13/52=1/4

    P (SS) = (1/4) * (12/51) = 1/17

    Probability of selecting two spades without replacement is 1/17.

    (b) with replacement

    P (S) = 13/52=1/4

    P (SS) = (1/4) (13/52) = 1/16

    Probability of selecting two spades with replacement is 1/16.
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