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?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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