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    Question

    If A and B are events such that P(A|B) = P(B|A), then

    which of the following is true
    A A ⊂ B but A ≠ B Correct Answer Incorrect Answer
    B A = B Correct Answer Incorrect Answer
    C A ∩ B = φ Correct Answer Incorrect Answer
    D P(A) = P(B) Correct Answer Incorrect Answer

    Solution

    It is given that, P(A|B) = P(B|A) => P(A ∩ B)/P(B) = P(A ∩ B)/P(A) => P(A) = P(B)

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