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1 April, 10:35

if there is a 60 chance of rain tomorrow and a 40 chance of wind and rain what is the probability that it is windy, given that it is rainy?

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  1. 1 April, 10:41
    0
    0.6667

    Step-by-step explanation:

    Let A be the event that it is rainy

    Let B be the event that is is windy

    Then we have

    P (A) = 0.6

    P (A and B) = 0.4

    We need P (B|A)

    The formula for P (B|A) is ...

    P (B|A) = P (A and B) / P (A)

    Plug in what we are given and simplify ...

    P (B|A) = 0.4/0.6

    P (B|A) = 0.6667
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