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11 March, 09:40

A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both sweaters are black?

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  1. 11 March, 13:15
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    A = event that you select a black sweater

    P (A) = 2/5 since there are 2 black out of 2+3 = 5 total

    After you make a selection, we have the event

    B = event that you select another black sweater assuming event A has happened already

    P (B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over

    Multiply the probabilities

    P (A and B) = P (A) * P (B)

    P (A and B) = (2/5) * (1/4)

    P (A and B) = 2/20

    P (A and B) = 1/10

    The answer as a fraction is 1/10

    In decimal form, it is 0.1

    As a percent, the answer is 10%
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