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      Question

      The probability that Neha passes the exam is (3/7) and

      the probability that Arjun fails the exam is (4/9). If both give the exam, find the probability that both have the same result.
      A 31/63 Correct Answer Incorrect Answer
      B 29/63 Correct Answer Incorrect Answer
      C 11/21 Correct Answer Incorrect Answer
      D 35/63 Correct Answer Incorrect Answer

      Solution

      Probability that Neha fails = 1 - (3/7) = (4/7)
      Probability that Arjun passes = 1 - (4/9) = (5/9)
      Required probability = (3/7) × (5/9) + (4/7) × (4/9)
      = (15/63) + (16/63) = (31/63)

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