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      Question

      The probability that Kunal passes an exam is (5/11) and the

      probability that Tanya fails is (3/7). If both write the exam, what is the probability that they both have the same result?
      A 38/77 Correct Answer Incorrect Answer
      B 36/77 Correct Answer Incorrect Answer
      C 34/77 Correct Answer Incorrect Answer
      D 32/77 Correct Answer Incorrect Answer
      E 40/77 Correct Answer Incorrect Answer

      Solution

      Probability that Kunal fails = 1 - (5/11) = (6/11)
      Probability that Tanya passes = 1 - (3/7) = (4/7)
      Required probability = (5/11) × (4/7) + (6/11) × (3/7)
      = (20/77) + (18/77) = (38/77)

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