The odds in favor of a horse winning a race is 9:5
Sum of the odds
[tex]Total\text{ outcome=9+5=14}[/tex]Let the probability that the horse will win the race P(W)
Let the probability that the horse will lose the race P(L)
The formula for probability is
[tex]\text{Probability}=\frac{Possible\text{ outcome}}{Total\text{ outcome}}[/tex]The probability that the horse will win is
[tex]P(W)=\frac{9}{14}[/tex]Hence, the probability that the horse will win the race is,
[tex]P(W)=\frac{9}{14}[/tex]Answer is A
