Math

A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are clubs and the third card is black if the cards are chosen with replacement, and if the cards are chosen without replacement.

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  1. with replacement:
    prob = (13/52)(13/52)(26/52)
    = 1/32

    without replacement:
    prob = (13/52)(12/51)(24/50)
    = 12/425

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