Question

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?

9%
15%
21%
57%

Explanation:

Define events and probabilities

Using the Probability Notation knowledge point

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Set up conditional probability

Using the Conditional Probability knowledge point

$$ P(\text{SUV} \mid \text{White}) = \frac{P(\text{SUV} \cap \text{White})}{P(\text{White})} $$

Calculate the probability

Using the Conditional Probability Calculation knowledge point

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Answer:

• (A) 9%
• (B) 15% (Correct answer)
• (C) 21%
• (D) 57%