5
QuizMultiple Choice

The Multiplication Rule for Dependent Events

Question 5 • AZ-Common Core Algebra II A

A recent survey of people who eat salad suggest that 78% like tomatoes on their salad, 49% like cheese on their salad, and 36% like both tomatoes and cheese on their salad. Suppose a person who eats salad is selected at random, and find they like cheese on their salad. What is the probability that the person also likes tomatoes on their salad?

Answer
A
0.29
B
0.46
C
0.49
D
0.73

Explanation

Use conditional probability: the probability a person likes tomatoes given that they like cheese is the proportion of cheese-likers who also like tomatoes. Divide the percentage who like both by the percentage who like cheese: 0.36 ÷ 0.49 ≈ 0.73. So the probability is 0.73, choice D.

AI-written and checked against the verified answer.

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