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      Question

      The probability that Ravi fails in Hindi is (3/8), and

      the probability that he does not fail in English is (7/8). Find the probability that he fails exactly one subject.
      A 21/64 Correct Answer Incorrect Answer
      B 15/64 Correct Answer Incorrect Answer
      C 9/64 Correct Answer Incorrect Answer
      D 27/64 Correct Answer Incorrect Answer
      E 13/32 Correct Answer Incorrect Answer

      Solution

      Probability that Ravi fails in English = 1 - (7/8) = (1/8) Probability that Ravi passes Hindi = 1 - (3/8) = (5/8) Required probability =
      = {(3/8) × (7/8)} + {(5/8) × (1/8)}
      = (21/64) + (5/64)
      = (26/64) = (13/32)

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