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      Question

      Odds in favour of A passing the exam is 1 : 3 and Odds

      against B passing the exam is 4 : 1. What is the probability that exactly one of them will pass the exam?
      A 7/20 Correct Answer Incorrect Answer
      B 11/20 Correct Answer Incorrect Answer
      C 6/20 Correct Answer Incorrect Answer
      D 5/20 Correct Answer Incorrect Answer

      Solution

      Probability that A will pass the exam = 1/4

      Probability that B will not clear the exam = 4/5

      Case- 1

      Probability that A will pass the exam and B will not clear the exam = 1/4 X 4/5=1/5

      Case- 2

      Probability that A will not clear the exam and B will clear the exam = 3/4 X 1/5=3/20

      Therefore, required probability = 1/5 + 3/20 = 7/20

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