Answer:
The probability that you will win both bets is 0.05.
Step-by-step 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:
[tex]P(Win)=\frac{6}{120}=0.05[/tex]
Thus, the probability that you will win both bets is 0.05.