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    Question

    If Ravi lies 4 out of 10 times and Vikram lies 6 out of 10

    times, what is the probability that Ravi and Vikram will agree with each other?
    A 10/23 Correct Answer Incorrect Answer
    B 12/25 Correct Answer Incorrect Answer
    C 11/24 Correct Answer Incorrect Answer
    D 8/17 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    P(Ravi lies) = 4/10 = 2/5
    P(Vikram lies) = 6/10 = 3/5
    P(both agree) = P(both of them lie) + P(both of them tell the truth)
    = (2/5)*(3/5) + (1 - 2/5)*(1 - 3/5)
    = 12/25

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