Question

Five horses are running at a race track. Being an inexperienced​ bettor, you assume that every order of finish is equally likely. You bet that​ Son-of-a-Gun will win and that Gentle Lady will come in second. What is the probability that you will win both​ bets?

Answer 1

The probability that you will win both​ bets is 0.05.

Explanation:

There are five horses running at a race track.

The total number of ways in which the race can finish is: 5! = 120.

Now the bet placed is:

Son-of-a-Gun will win and that Gentle Lady will come in second.

So, the first two places are fixed.

The remaining three can be arranged in 3! = 6 ways.

That is there are 6 ways in which the bet can be won.

Compute the probability of winning the bet as follows:

`P(Win)=(6)/(120)=0.05`

Thus, the probability that you will win both​ bets is 0.05.