Question

A horse race has 10 10 entries and one person owns 5 5 of those horses....

A horse race has 10 10 entries and one person owns 5 5 of those horses. Assuming that there are no​ ties, what is the probability that those five five horses finish first comma second comma third comma fourth comma and fifth first, second, third, fourth, and fifth ​(regardless of​ order)?

Homework Answers

Answer #1

his makes it a combination type problem rather than a permutation type problem because order doesn't matter.

we have 5 spots.

the probability that one of those 5 horses will be first is 5/10.
the probability that one of the remaining 4 horses will be second is 4/9.
the probability that one of the remaining 3 horses will be third is 3/8.
the probability that the remaining 2 horses will be fourth is 2/7.

the probability that the remaining horse will be fifth is 1/6.

the total probability is

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