Question

    The probability that Vipin passes the exam is (2/7) and the

    probability that Saloni fails the exam is (5/12). If both Vipin and Saloni give the exam then find the probability that both of them have the same result.
    A 13/28 Correct Answer Incorrect Answer
    B 11/28 Correct Answer Incorrect Answer
    C 17/28 Correct Answer Incorrect Answer
    D 9/28 Correct Answer Incorrect Answer
    E 15/28 Correct Answer Incorrect Answer

    Solution

    Probability that Vipin fails the exam = 1 - (2/7) = (5/7)
    Probability that Saloni passes the exam = 1 - (5/12) = (7/12)
    Required probability = (2/7) × (7/12) + (5/7) × (5/12)
    = (14/84) + (25/84) = (39/84) = (13/28)

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