At a certain car dealership, the probability that a customer purchases an SUV is 0.20. Given that a customer purchases an SUV, the probability that it is black is 0.26. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.
Question
At a certain car dealership, the probability that a customer purchases an SUV is 0.20. Given that a customer purchases an SUV, the probability that it is black is 0.26. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.
Solution
To solve this problem, we need to multiply the probability of each event happening.
The probability of a customer purchasing an SUV is 0.20.
Given that a customer purchases an SUV, the probability that it is black is 0.26.
So, to find the probability that a customer purchases a black SUV, we multiply these two probabilities together:
0.20 * 0.26 = 0.052
So, the probability that a customer purchases a black SUV is 0.052 or 5.2%. If you want to round it to four decimal places, it would be 0.0520.
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