8
QuizMultiple Choice

Probability with Combinations and Permutations — Unit test

Question 8 • Math Models A

A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the probability that a randomly selected pair of jeans with front pockets also has back pockets?

Answer
A
0.52
B
0.60
C
0.74
D
0.81

Explanation

Among all jeans, 48% have both front and back pockets, while 65% have front pockets. Given that the jeans have front pockets, the probability they also have back pockets is 0.48 ÷ 0.65 ≈ 0.74, so the answer is 0.74.

AI-written and checked against the verified answer.

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