8
QuizMultiple Choice

Conditional Probabilities — Quiz

Question 8 • Algebra II

A department store’s survey suggests that 76 percent of shoppers buy food, 49 percent buy clothes, and 28 percent buy both food and clothes. Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?

Answer
A
0 point 5 7
B
0 point 6 4
C
0 point 3 9
D
0 point 2 7

Explanation

We want the probability that a shopper buys food given that they buy clothes, so divide the percentage who buy both by the percentage who buy clothes: 28% ÷ 49% ≈ 0.57. Therefore, the probability is about 0.57, choice A.

AI-written and checked against the verified answer.

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