|
Probability |
Odds |
|---|---|
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both are different ways to numerically represent uncertainty. Uncertainty can also be represented in Odds Ratio | |
|
𝐏(𝑋) |
𝐎(𝑋) |
|
the number of ways that an outcome can occur | |
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the ratio of the number of ways that an outcome can occur compared to the whole number of cases possible probability probability = odds / (1 + odds) |
the ratio of the number of ways that an outcome can occur compared tothe number of ways it cannot occur odds odds = probability / (1 - probability) |
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1/5 = 𝐏(𝑋) ≈ 𝐎(𝑋) = 1/4 ≈ 1:4 = Odds Ratio | |
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ranges between an interval of [0,1] |
ranges between an interval between [0, infinity) |
Relation Between Probability and Odds
- odds = probability / (1 - probability)
- odds(1 - probability) = probability
- odds - odds*probability = probability
- odds = probability + odds*probability
- odds = probability (1 + odds)
- odds/(1 + odds) = probability