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?
    A 4/7 Correct Answer Incorrect Answer
    B 5/6 Correct Answer Incorrect Answer
    C 1/6 Correct Answer Incorrect Answer
    D 3/8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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