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      Question

      The probability that Meena fails in Biology is (1/6),

      and the probability that she does not fail in History is (5/6). Find the probability that she fails exactly one subject.
      A 5/36 Correct Answer Incorrect Answer
      B 11/36 Correct Answer Incorrect Answer
      C 5/18 Correct Answer Incorrect Answer
      D 7/36 Correct Answer Incorrect Answer
      E 13/36 Correct Answer Incorrect Answer

      Solution

      Probability that Meena fails in History = 1 - (5/6) = (1/6) Probability that Meena passes Biology = 1 - (1/6) = (5/6) Required probability =
      = {(1/6) × (5/6)} + {(5/6) × (1/6)}
      = (5/36) + (5/36)
      = (10/36) = (5/18)

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