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InterviewSolution
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Three horses A, B, C are in the race. A is twice as likely to win as B and B is twice as likely to win as C. What are their respective probabilities of winning? |
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Answer» Given that A is twice as likely to win as B. Therefore, A : B = 2 : 1 (or) A : B = 4 : 2 ... (1) Also given that B is twice as likely to win as C. Therefore, B : C = 2 : 1 … (2) From (1) and (2), A : B : C = 4 : 2 : 1 ∴ A = 4k, B = 2k, C = 1, where C is a constant of proportionality. Probability of A wining is \(\frac{4k}{7k}=\frac{4}{7}\) Probability of B wining is \(\frac{2k}{7k}=\frac{2}{7}\) Probability of C wining is \(\frac{k}{7k}=\frac{1}{7}\) |
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