SOLUTION: The odds against a horse winning a race are 6 to 5. What is the probability of the horse winning the race?

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Question 86820: The odds against a horse winning a race are 6 to 5. What is the probability of the horse winning the race?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The odds against a horse winning a race are 6 to 5. What is the probability
of the horse winning the race?

Conversion formulas for ODDS IN FAVOR and AGAINST 
to and from PROBABILITY

1. If odds in favor of event E are "a to b" then P(E) = a%2F%28a%2Bb%29

2. If odds against event E are "a to b" then P(E) = b%2F%28a%2Bb%29

3. If P(E) = a%2Fb, then ODDS in favor of event E = "a to b-a"

4. If P(E) = a%2Fb, then ODDS against event E = "(b-a) to a"

We need formula 2:

2. If odds against event a horse winning a race are "6 to 5"
then P(horse winning the race) = 5%2F%285%2B6%29 = 5%2F11

Edwin