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    Question

    Given that E and F are events such that P(E) = 0.7, P(F)

    = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
    A 3/4, 3/7 Correct Answer Incorrect Answer
    B 2/3, 3/7 Correct Answer Incorrect Answer
    C 3/4, 2/3 Correct Answer Incorrect Answer
    D 3/8, 3/7 Correct Answer Incorrect Answer

    Solution

    Given P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3 P(E|F) = P(E ∩ F)/ P(F) = 0.3/0.4 = 3/4 P(F|E) = P(E ∩ F)/ P(E) = 0.3/0.7 = 3/7

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