at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a car is 0.36. the probability that it is a white car is 0.08. what is the probability that a vehicle is white, given that the vehicle is a car?

Probability that a vehicle is white, given that the vehicle is a car:

0.2222

Step-by-step explanation:

A: vehicle is white

probability that a vehicle is white = P (A) = 0.25

B:vehicle is a car

probability that it is a car = P (B) = 0.36

A∩B:vehicle is a white car

P (A∩B) = probability that it is a white car = 0.08

A/B:vehicle is white, given that vehicle is a car

to find P (A/B)

baye's theorem says that

P (A∩B) = P (A/B) * P (B)

⇒ 0.08=P (A/B) * 0.36

⇒ P (A/B) = 0.2222

Hence, probability that a vehicle is white, given that the vehicle is a car is:

0.2222