SOLUTION: The odds against an event are 49 to 2. What is the probability of the event?

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Question 1099336: The odds against an event are 49 to 2. What is the probability of the event?
Found 2 solutions by AnlytcPhil, Edwin McCravy:
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Let S = the number of successes
Let F = the number of failures

Then
                S
Probability = —————
               S+F

Odds in favor = S to F = S:F


Odds against = F to S = F:S 

You are given

The odds against an event are 49 to 2.
So F = 49,  S = 2

Substitute to find the probability.

Edwin

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Let S = the number of successes
Let F = the number of failures

Then
                S
Probability = —————
               S+F

Odds in favor = S to F = S:F


Odds against = F to S = F:S 

You are given

The odds against an event are 49 to 2.
So F = 49,  S = 2

Substitute to find the probability.

Edwin