Answer:
0.15 is the probability that that a black SUV is bought, given that a customer bought an SUV.
Step-by-step explanation:
We are given the following in the question:
A: customers who bought a new vehicle bought an SUV
B: customers who bought a new vehicle bought an black SUV
[tex]P(A) = 20\%=0.2\\P(B) = 3\%=0.03[/tex]
We have to find the probability that a black SUV is bought, given that a customer bought an SUV.
We have to evaluate:
[tex]P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\\\P(B|A) =\dfrac{0.03}{0.2}=0.15[/tex]
Thus, 0.15 is the probability that that a black SUV is bought, given that a customer bought an SUV.
