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      Question

      The probability that Rohan fails in Physics is (1/3),

      and the probability that he does not fail in Chemistry is (3/4). Find the probability that he fails exactly one subject.
      A 1/4 Correct Answer Incorrect Answer
      B 5/12 Correct Answer Incorrect Answer
      C 1/2 Correct Answer Incorrect Answer
      D 3/8 Correct Answer Incorrect Answer
      E 7/12 Correct Answer Incorrect Answer

      Solution

      Probability that Rohan fails in Chemistry = 1 - (3/4) = (1/4) Probability that Rohan passes Physics = 1 - (1/3) = (2/3) Required probability =
      = {(1/3) × (3/4)} + {(2/3) × (1/4)}
      = (1/4) + (2/12)
      = (1/4) + (1/6)
      = (3 + 2)/12 = (5/12)

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