If the odds against a horse winning a race are 7:3, what is the probability that the horse will win the
Race?

Question

Quizplus · Accepted Answer

The odds against the horse winning are 7:3, which means that out of every 10 races, the horse is expected to lose 7 and win 3.

The total number of outcomes is 7 + 3 = 10.

The probability of winning is the number of favorable outcomes (i.e. 3) divided by the total number of outcomes (i.e. 10).

So, the probability of the horse winning the race is 3/10 = 0.3 or 30%.

Therefore, the best choice is B. The odds against the horse winning are given as 7:3, which can be written as a fraction:
odds against = 7/3
We can use this to find the probability of the horse winning (which is what the question is asking for) by using the following formula:
probability of winning = 1 / (odds against + 1)
Substituting in the given odds against, we get:
probability of winning = 1 / (7/3 + 1)
probability of winning = 1 / (10/3)
probability of winning = 3/10
So the probability that the horse will win the race is 3/10, which is answer B.

If the Odds Against a Horse Winning a Race Are