AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Conditional ProbabilitiesQuestion 9
9
QuizMultiple Choice

Conditional Probabilities

Question 9 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A department store’s survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% 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
0.27
B
0.39
C
0.57
D
0.64

Explanation

Use conditional probability: among shoppers who buy clothes, the fraction who also buy food is P(food and clothes) ÷ P(clothes). That is 0.28 ÷ 0.49 ≈ 0.57, so the probability is 0.57, choice C.

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