Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1). Round your answer to three decimal places.

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holja7sJeaEsthek holja7sJeaEsthek

25-07-2016
Mathematics

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Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1). Round your answer to three decimal places.

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Anonymous Anonymous · Answer 1 · 2016-07-29T11:33:09-04:00

The answer is 0.071.

The chances of drawing an ace in the first draw is 4/52. The chances of not drawing an ace in the second draw is 48/52. The chances of getting only one ace in the two draws can be solves using this equation:
P(X=1) = (4/52) * (48/52)
= 192/2704
= 0.0710059 or 0.071

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