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?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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