Question:
A, B, C are three horses participating in a race.
The probability of horse A to win is twice that of B,
and the probability of B to win is twice that of C.
Then the probabilities of A, B, and C winning the race are respectively:
A, B, C are three horses participating in a race.
The probability of horse A to win is twice that of B,
and the probability of B to win is twice that of C.
Then the probabilities of A, B, and C winning the race are respectively:
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Let base variable represent smallest probability when ratios are involved; normalize total to 1.
Updated On: May 13, 2025
- \( \frac{4}{7}, \frac{2}{7}, \frac{1}{7} \)
- \( \frac{1}{6}, \frac{2}{6}, \frac{5}{6} \)
- –
- \( \frac{4}{7}, \frac{3}{7}, \frac{1}{7} \)
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The Correct Option is A
Solution and Explanation
Let probability of C = \( x \)
Then B = \( 2x \), and A = \( 4x \)
\[
P(A) + P(B) + P(C) = 4x + 2x + x = 7x = 1 \Rightarrow x = \frac{1}{7}
\]
So:
\[
P(C) = \frac{1}{7}, P(B) = \frac{2}{7}, P(A) = \frac{4}{7}
\]
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