Question

    There are three people A, B and C who are competing in a

    100-meter race. If A is 50% more likely to win as B and B is twice as likely to win as C then what is the probability that C will lose the race?
    A 5/6 Correct Answer Incorrect Answer
    B 7/8 Correct Answer Incorrect Answer
    C 2/3 Correct Answer Incorrect Answer
    D 1/3 Correct Answer Incorrect Answer
    E 5/7 Correct Answer Incorrect Answer

    Solution

    Let the probability that C wins = n
    Hence probability that B wins = 2n
    Also probability that A wins = 3n
    Hence, n + 2n + 3n = 1
    => n = 1/6
    Hence the probability that C will lose the race = 1 – (1/6) = 5/6

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