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    Question

    The probability that Rohan fails in Physics is (1/3),

    and the probability that he does not fail in Chemistry is (3/4). Find the probability that he fails exactly one subject.
    A 1/4 Correct Answer Incorrect Answer
    B 5/12 Correct Answer Incorrect Answer
    C 1/2 Correct Answer Incorrect Answer
    D 3/8 Correct Answer Incorrect Answer
    E 7/12 Correct Answer Incorrect Answer

    Solution

    Probability that Rohan fails in Chemistry = 1 - (3/4) = (1/4) Probability that Rohan passes Physics = 1 - (1/3) = (2/3) Required probability =
    = {(1/3) ├Ч (3/4)} + {(2/3) ├Ч (1/4)}
    = (1/4) + (2/12)
    = (1/4) + (1/6)
    = (3 + 2)/12 = (5/12)

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