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11 October, 08:26

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?

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  1. 11 October, 08:29
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    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
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