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    Question

    A speaks truth in 75% of cases And B is 80% of cases.

    What is the probability that they likely to contradict each other, narrating the same incident.
    A 11/20 Correct Answer Incorrect Answer
    B 13/20 Correct Answer Incorrect Answer
    C 7/20 Correct Answer Incorrect Answer
    D 3/20 Correct Answer Incorrect Answer

    Solution

    Probability of A speaks truth =75% = ¾ And P (not speaks truth) =25% =1/4 Probability of B speaks truth = 80%=4/5 And P (not speaks truth) = 20% =1/5 Probability = (3/4×1/5) +(1/4×4/5) =3/20 +4/20 =7/20

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