There are two known issues with a certain model of new car. The first issue, A, occurs with a probability of P(A)=0.1. B is another known is

Question

There are two known issues with a certain model of new car. The first issue, A, occurs with a probability of P(A)=0.1. B is another known issue with the car. If it is known that either event occurs with a probability of P(A OR B)=0.93, and that both events occur with a probability of P(A AND B)=0.07, calculate P(B).

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Verity 5 months 2021-08-10T02:09:23+00:00 1 Answers 40 views 0

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    2021-08-10T02:10:53+00:00

    Answer:

    P(B) = 0.90

    Step-by-step explanation:

    Given

    P(A) = 0.1

    P(A\ or\ B) = 0.93

    P(A\ and\ B) = 0.07

    Required

    P(B)

    To do this, we make use of:

    P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)

    Make P(B) the subject

    P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)

    So, we have:

    P(B) = 0.93 + 0.07 - 0.1

    P(B) = 0.90

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