Why do we use odds instead of probability?

A probability must lie between 0 and 1 (you cannot have more than a 100% chance of something). Odds are not so constrained. Odds can take any positive value (e.g. a ⅔ probability is the same as odds of 2/1). If instead we use odds (actually the log of odds, or logit), a linear model can be fit.

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2023-04-04 02:29:47

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How does odds ratio compare to probability?
Odds are the probability of an event occurring divided by the probability of the event not occurring. An odds ratio is the odds of the event in one group, for example, those exposed to a drug, divided by the odds in another group not exposed. Odds ratios always exaggerate the true relative risk to some degree.
2024-02-19 15:39:17

What is the odds ratio of 1.5 to probability?
You interpret an odds ratio the same way you interpret a risk ratio. An odds ratio of 1.5 means the odds of the outcome in group A happening are one and a half times the odds of the outcome happening in group B.
2024-01-17 16:10:16

What are odds vs probability?
The distinction is simple: The probability that an event will occur is the fraction of times you expect to see that event in many trials. Probabilities always range between 0 and 1. The odds are defined as the probability that the event will occur divided by the probability that the event will not occur.
2024-01-03 13:43:25

What is the probability of 5 to 1 odds?
The 5-1 betting odds probability is an 83.33 per cent probability of a particular outcome and a 16.67 per cent probability of another outcome. The 5/1 odds implied probability means your selection has a 16.67% chance of winning and an 83.33% chance the selection will lose.
2023-05-10 13:16:17

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