SOLUTION: Suppose the probability of an event is 22 25 . What are the odds for the event happening? _to_ What are the odds against the event happening? _to_

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Question 1195679: Suppose the probability of an event is
22
25
.
What are the odds for the event happening?
_to_
What are the odds against the event happening?
_to_
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answers:
Odds in favor are 22 to 3
Odds against are 3 to 22


How to get those answers:
The event has a probability of 22/25
There are 22 cases of the event happening, out of 25 cases total. Therefore, we have 25-22 = 3 cases where the event doesn't happen.

The odds in favor simply has us list the number of ways the event to happen vs it not to happen. So that's where the "22 to 3" comes from.
The odds against flips the previous odds. The order is important.