Implied Probability & Converting Odds
How to turn any betting odds into a probability, why it matters, and how to spot when a price is better than the real chance of winning.
Every price a sportsbook posts is a prediction in disguise. Implied probability is the chance of winning that a set of odds represents. Learning to read it is the gateway to every winning strategy - because value only exists when the real probability is higher than the implied one.
The formula
The easiest way is through decimal odds: implied probability = 1 ÷ decimal odds.
- Decimal 2.00 → 1 ÷ 2.00 = 50%
- Decimal 1.50 → 1 ÷ 1.50 = 66.7%
- Decimal 4.00 → 1 ÷ 4.00 = 25%
For American odds, convert to decimal first, or use: favorites (−) imply |odds| ÷ (|odds| + 100); underdogs (+) imply 100 ÷ (odds + 100).
Why it matters
Suppose a book prices a team at +150 (implied 40%). If you believe - or a sharper market implies - the team really wins 45% of the time, the price is generous: you're getting paid as if they're less likely to win than they actually are. That gap is your edge, the foundation of expected value.
The catch: odds don't add up to 100%
Add the implied probabilities of both sides of a market and you'll get something over 100% - often 104-110%. That extra is the vig. To find the *true* probability the market implies, you have to strip the vig out, which gives you the "no-vig" or fair odds. That is exactly what our No-Vig Fair Odds Calculator and Hold Calculator compute in seconds.
| Odds (American) | Decimal | Implied probability |
|---|---|---|
| −300 | 1.33 | 75.0% |
| −150 | 1.67 | 60.0% |
| −110 | 1.91 | 52.4% |
| +120 | 2.20 | 45.5% |
| +250 | 3.50 | 28.6% |
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