Question

a horse race has 11 entries and one person owns 3 of those horses. Assuming that there are no ties, what is the probability that those three horses finish first, second, and third

Answer 1

The probability that one of the three horses finishes first is 3/11. If one of the three horses has finished first, then the probability that one of the remaining two horses finishes second is 2/10. If two of the three horses have finished first and second, then the probability of the remaining horse from the three finishing third is 1/9.
Therefore the required probability is given by:
\[\large \frac{3\times2\times1}{11\times10\times9}=you\ can\ calculate\]