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      Question

      The probability that Vipin passes the exam is (2/7) and the

      probability that Saloni fails the exam is (5/12). If both Vipin and Saloni give the exam then find the probability that both of them have the same result.
      A 13/28 Correct Answer Incorrect Answer
      B 11/28 Correct Answer Incorrect Answer
      C 17/28 Correct Answer Incorrect Answer
      D 9/28 Correct Answer Incorrect Answer
      E 15/28 Correct Answer Incorrect Answer

      Solution

      Probability that Vipin fails the exam = 1 - (2/7) = (5/7)
      Probability that Saloni passes the exam = 1 - (5/12) = (7/12)
      Required probability = (2/7) Γ— (7/12) + (5/7) Γ— (5/12)
      = (14/84) + (25/84) = (39/84) = (13/28)

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