SOLUTION: . The odds against an event are 9:8. Find the probability that the event WILL occur.

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Question 315491: . The odds against an event are 9:8. Find the probability that the event WILL occur.
Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The odds against an event are 9:8. Find the probability that the event WILL occur.

Learn these formulas:

ODDS IN FAVOR OF EVENT = SUCCESSES:FAILURES

ODDS AGAINST EVENT = FAILURES:SUCCESSES

PROBABILITY EVENT WILL OCCUR = SUCCESSES%2F%28SUCCESSES%2BFAILURES%29

So since odds against are 9:8, then FAILURES = 9 and SUCCESSES = 8

so,

PROBABILITY = SUCCESSES%2F%28SUCCESSES%2BFAILURES%29=8%2F%288%2B9%29=8%2F17

Edwin

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The odds against an event are 9:8. Find the probability that the event WILL occur.
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Rule: "odds against A" = P(not A)/P(A)
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P(not A)/P(A) = 9/8
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P(not A) = 9/17
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P(A) = 8/17
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Cheers,
Stan H.