and hence are often represented as a percentage between 0% and 100%: reversing the ratio switches odds for with odds against, and similarly probability of success with probability of failure.

Given odds (in favor) as the ratio W:L (number of outcomes that are wins:number of outcomes that are losses), the odds in favor (as a number) and odds against (as a number) can be computed by simply dividing, and are multiplicative inverses:
:

Analogously, given odds as a ratio, the probability

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