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Glossary Statistics / Term

Odds

The odds in favor of an event is the ratio of the probability that the event occurs to the probability that the event does not occur. For example, suppose an experiment can result in any of n possible outcomes, all equally likely, and that k of the outcomes result in a "win" and nk result in a "loss." Then the chance of winning is k/n; the chance of not winning is (nk)/n; and the odds in favor of winning are (k/n)/((nk)/n) = k/(n−k), which is the number of favorable outcomes divided by the number of unfavorable outcomes. Note that odds are not synonymous with probability, but the two can be converted back and forth. If the odds in favor of an event are q, then the probability of the event is q/(1+q). If the probability of an event is p, the odds in favor of the event are p/(1−p) and the odds against the event are (1−p)/p.

Permanent link Odds - Creation date 2021-08-07


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