The odds against a horse winning a race are 5:4. Find the probability that the horse will win the race.

The odds against the horse winning is given as 5:4

This means for every 5 times the horse loses it will win 4 times.

5 loses + 4 wins = 9 races.

The probability the horse wins would be 4 races out of 9 total races, which would be written as 4:9