Question

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?

Answer 1

Answer: 0.22

Explanation:

confirmed

Answer 2

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

0.2222

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