3
QuizMultiple Choice

Relative Frequencies — Quiz

Question 3 • College Readiness Mathematics

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 Small Medium Large Total Coffee Additive Cream 8 15 21 44 Sugar 4 8 11 23 Both 15 23 42 80 Total 27 46 74 147 Given that a customer likes both cream and sugar, what is the probability that the customer chose a large coffee? Round the answer to four decimal places.

Answer
A
52 point 5 percent
B
28 point 6 percent
C
18 point 8 percent
D
56 point 8 percent

Explanation

Among customers who chose both cream and sugar, 80 customers did so, and 42 of them chose a large coffee. The conditional probability is 42 ÷ 80 = 0.5250, or 52.5%. Therefore, the correct choice is 52.5 percent.

AI-written and checked against the verified answer.

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