probability question

Question

At a certain car dealership, the probability that a customer purchases an SUV is 

0.16. Given that a customer purchases an SUV, the probability that it is black is 0.32. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.

The probability that a customer purchases a black SUV is

Answer 1

The probability of a consumer buying an SUV is: P(SUV) = 0.16

The probability of an SUV is black, given that a consumer bought an SUV: P(Black | SUV) = 0.32

We need to find the probability that a consumer bought a black SUV: P(Black ∩ SUV) = ???

Use the formula for the conditional probability.

P(Black ∩ SUV) = P(SUV) × P(Black | SUV) = (0.16)*(0.32) = 0.0512

The probability of a consumer buys a black SUV is 0.0512.