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    Question

    Given that E and F are events such that P(E) = 0.8, P(F)

    = 0.4 and P(E∩ F) = 0.2. Find P(F|E).
    A 1/3 Correct Answer Incorrect Answer
    B 1/5 Correct Answer Incorrect Answer
    C 1/4 Correct Answer Incorrect Answer
    D 1/2 Correct Answer Incorrect Answer

    Solution

    Given P (E) = 0.8, P (F) = 0.4 and P (E ∩  F) = 0.2 We know that by the definition of conditional probability, P(A/B) = P(A ∩  B)/P(B) By substituting the values, we get = P(E|F) = P(E ∩  F)/P(F) = 0.2/0.4 = 2/4 = 1/2 And = P(F|E) = P(E ∩   F)/P(E) = 0.2/0.8 = 2/8 = 1/4

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