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    Question

    Sita tells the truth in 80% of cases and Geeta tells the

    truth in 30% of cases. Find the probability that at least one of them tells the truth.
    A 17/20 Correct Answer Incorrect Answer
    B 12/11 Correct Answer Incorrect Answer
    C 43/50 Correct Answer Incorrect Answer
    D 20/21 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sita tells truth = 0.8

    → lies = 0.2

    Geeta tells truth = 0.3

    → lies = 0.7

    At least one truth:

    P = 1 – P(both lies)

    P(both lies) = 0.2 × 0.7 = 0.14

    P(at least one truth) = 1 – 0.14 = 0.86 = 43/50

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