9
QuizMultiple Choice

Conditional Probability

Question 9 • AZ-Common Core Algebra II B

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

Answer
A
9%
B
15%
C
21%
D
57%

Explanation

Use conditional probability: the probability a car is an SUV given that it is white is the percentage that are both white and SUVs divided by the percentage that are white. Thus, 2% ÷ 13% = 2/13 ≈ 15.38%, which rounds to 15%. The correct choice is 15%.

AI-written and checked against the verified answer.

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