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Implied Probability
generalThe probability of an outcome as implied by the betting odds, including the sportsbook's margin.
Key Takeaways
- 1Implied probability converts odds to a percentage
- 2It includes the sportsbook's margin (vig)
- 3Probabilities from one book sum to more than 100%
- 4Remove the vig to find true implied probability
What is Implied Probability?
Implied probability converts betting odds into a percentage that represents the likelihood of an outcome occurring, as priced by the market.
Conversion Formulas
American Odds:
- Negative odds: IP = |odds| / (|odds| + 100)
- Positive odds: IP = 100 / (odds + 100)
Decimal Odds:
- IP = 1 / decimal odds
Example
-150 American odds:
- IP = 150 / (150 + 100) = 60%
This means the market prices this outcome at a 60% chance of occurring.
Important Note
Implied probabilities from a single sportsbook will sum to more than 100% — the excess is the vig/hold. To find the "true" implied probability, you need to remove the vig.
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