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      Question

      The probability that Sita fails in Geography is (2/7),

      and the probability that she does not fail in Civics is (6/7). Find the probability that she fails exactly one subject.
      A 17/49 Correct Answer Incorrect Answer
      B 16/49 Correct Answer Incorrect Answer
      C 18/49 Correct Answer Incorrect Answer
      D 20/49 Correct Answer Incorrect Answer

      Solution

      Probability that Sita fails in Civics = 1 - (6/7) = (1/7) Probability that Sita passes Geography = 1 - (2/7) = (5/7) Required probability =
      = {(2/7) × (6/7)} + {(5/7) × (1/7)}
      = (12/49) + (5/49)
      = (17/49)

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