AMU 2026 — Mathematics PYQ
AMU | Mathematics | 2026Three 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 is the probability of winning the race by horse A?
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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 is the probability of winning the race by horse A?
To solve this, we define the probability of winning for each horse as a variable. Let the probability of horse C winning be .
Define probabilities based on the ratios provided:
Since B is twice as likely to win as C: .
Since A is twice as likely to win as B: .
Use the property of total probability:
In a race where only one horse can win, the sum of their individual probabilities must equal .
Calculate the probability for Horse A:
We want to find , which we defined as .