Question
Roger Federer play 3 sets of a tennis match. The
probability of his winning the three sets are 1/9,1/4,3/4 respectively. What is the probability that he will win at least 1 set of the game?Solution
Probability of Not winning all the three sets = (1 - 1/9) × (1 - 1/4) × (1 - 3/4) = 8/9  ×  3/4  ×  1/4 = 1/6 Probability of winning at least one set is 1 - 1/6 = 5/6
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