Question

The odds in favor of a horse winning a race are 9:5. Find the probability that the horse will win the race.A. 9/14B. 3/5C. 5/14D. 5/9

Answer 1

The odds in favor of a horse winning a race is 9:5

Sum of the odds

`Total\text{ outcome=9+5=14}`

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

`\text{Probability}=\frac{Possible\text{ outcome}}{Total\text{ outcome}}`

The probability that the horse will win is

`P(W)=(9)/(14)`

Hence, the probability that the horse will win the race is,

`P(W)=(9)/(14)`

Answer is A