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      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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