The probability that the horse will win the race if the odds in favor of a horse winning a race are 8:5 is 38.4%.
According to the given question.
The odds in favor of a horse winning a race are 8:5.
Out of 13 chances the horse win the race 5 times and not win the 8 times.
So, total number of favorable outcomes = 5
And, total number of outcomes = 8 + 5 = 14
Therefore,
The probbaility that horse will win the race
= Number of times won / (Number of times lost + Number of times won)
= total number of favorable outcomes/total number of outcomes
= 5/ (8 + 5)
= 5/13
= 38.4%
Hence, the probability that the horse will win the race is 38.4%.
Find out more information about odds and probability here:
https://brainly.com/question/13071284
#SPJ4