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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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