Question

SaveHomework: 3.4Score: 0 of 1 pt15 of 15 (15 complete)HW Score: 93.33%, 14 of 15 ptsX 3.4.41Question HelpA horse race has 10 entries and one person owns 5 of those horses. Assuming that there are no ties, what is the probability that those five horses finistfirst, second, third, fourth, and fifth (regardless of order)?The probability that the five horses finish first, second, third, fourth, and fifth is I03 (Round to four decimal places as needed.)57Imorrect: 1

Answer 1

Given

A horse race 10 entries

One person owns 5 of these horses

Procedure

There are

N=10C5 ways of randomly choosing 5 horses out of 10.

where

N=10!/(5!5!)=252

`\begin{gathered} N=(10!)/(5!5!) \\ N=252 \end{gathered}`

We assume that

1. order does not count,

2. winning probabilities are equal among horses,

3. results are completely random.

Then the owner has one chance in 252 that his 5 horses are placed 1st to 5th.

1/252 = 0.0039