Goalorithm
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Implied Probability Explained
Learn how to convert betting odds into probabilities and understand the sportsbook's built-in margin.
Converting Odds to Probability
Every odds price implies a probability. The sportsbook's odds reflect what the market believes will happen—not necessarily what's true. Your job is to find discrepancies between your model's probability and the market's implied probability.
Decimal Odds Conversion
Implied Probability = 1 / Decimal Odds
Example: Odds of 2.00 = 1/2.00 = 0.50 or 50%
Example: Odds of 1.80 = 1/1.80 = 0.555 or 55.5%
Example: Odds of 3.50 = 1/3.50 = 0.285 or 28.5%
American Odds Conversion
Positive odds: Implied Probability = 100 / (Odds + 100)
Example: +150 = 100/250 = 0.40 or 40%
Negative odds: Implied Probability = |Odds| / (|Odds| + 100)
Example: -200 = 200/300 = 0.666 or 66.6%
Sportsbook Margin (Overround)
Sportsbooks build a margin into their odds—this is why the sum of implied probabilities for all outcomes exceeds 100%. This margin is called the "overround" or "vig."
Example:
- Team A: 2.00 (Implied: 50%)
- Draw: 3.50 (Implied: 28.6%)
- Team B: 4.00 (Implied: 25%)
- Total: 103.6%
The 3.6% overround is the sportsbook's built-in edge.
Why Implied Probability Is Always Inflated
Because of the overround, you must overcome the sportsbook's margin just to break even. If your model says Team A has a 50% chance to win, and odds of 2.00 imply 50%, you're actually at a disadvantage—you need slightly better than 50% true probability to have +EV.
Comparing Implied vs Model Probability
This is the core of value betting:
1. Calculate implied probability from odds
2. Your model calculates true probability
3. If Model Probability > Implied Probability = Potential Value
Example: Odds of 2.10 imply 47.6% probability. Your model says Team A has 52% chance. Edge = 52% - 47.6% = +4.4%
Key Takeaways
- • Every odds price implies a probability of the outcome
- • Sportsbook margin (overround) means total implied probability exceeds 100%
- • Decimal: 1 ÷ odds = implied probability
- • Your model must beat the implied probability to find value