9
QuizMultiple Choice

Relative Frequencies

Question 9 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with cream, sugar, or both. Size of Coffee SmallMediumLargeTotalCoffee AdditiveCream8152144Sugar481123Both15234280 Total274674147Given that a customer likes both cream and sugar, what is the probability that the customer chose a large coffee?

Answer
A
18.8%
B
28.6%
C
52.5%
D
56.8%

Explanation

Because the customer likes both cream and sugar, use only the “Both” row. Of those 80 customers, 42 chose a large coffee, so the conditional probability is 42 ÷ 80 = 0.525, or 52.5%. The correct choice is 52.5%.

AI-written and checked against the verified answer.

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