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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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