Question

at a car dealership, the probability that a vehicle is white is 0.25. the probability that it is a pickup truck is 0.15. the probability that it is a white pickup truck is 0.06. what is the probability that a vehicle is white given that the vehicle is a pickup truck? round your answer to 2 decimal places

Answer 1

Let P(A/B) = probability that a vehicle is white given that the vehicle is a pickup truck

P(A) = probability that the vehicle is a pickup truck = 0.15

P(B) = probability that the vehicle is white = 0.25

P(AnB) = probability that the vehicle is a white pickup truck

FORMULA

P(A/B) = P(A) + P(B) - P(AnB)

= 0.15 + 0.25 - 0.06

= 0.40 - 0.06

= 0.34