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Question

Three horses A, B and C are in a race, A is twice as likely to win as B and B is twice as likely to win as C. What are their probabilities of winning?

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Solution

Let the probability of winning of horse C is x.

then probability of winning B is 2x and probability of winning A is 4x.

Also total probability of winning is 1.

So P(A)+P(B)+P(C)=1

⇒x+2x+4x=1⇒x=17

Hence probability of winning of horses A,B, and C are 47,27 and 17 respectively.

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