1. EV combines probability with payoff
For decimal odds, the net expected value is calculated as (estimated probability × decimal odds − 1) × stake. Probability is written as a decimal, so 55% becomes 0.55.
The result describes a theoretical average across many comparable opportunities. It does not forecast the cash result of the next event.
- Probability: 55%
- Decimal odds: 2.00
- Stake: 100 units
- EV: (0.55 × 2.00 − 1) × 100 = +10 units
2. Break-even probability comes from the price
Decimal odds of 2.00 imply a break-even probability of 50% before considering the complete market margin. An independent 55% estimate is five percentage points higher.
This difference is often called an edge. The EV percentage expresses the same comparison through the payout: 0.55 × 2.00 − 1 = +10%.
3. The probability must be independent
Using the raw probability implied by the same odds produces a circular calculation. A meaningful comparison needs a separate estimate from a model, a transparent forecast or a margin-adjusted market baseline.
Even an independent estimate can be wrong because of missing data, model drift or an outcome definition that does not match the quoted market.
4. Positive EV can still lose
A 55% event fails in 45% of comparable cases if the estimate is calibrated. Several failures in a row are therefore compatible with a positive theoretical EV.
Variance is why one result, one week or a selectively chosen screenshot cannot validate the calculation. The input probabilities must be evaluated over a relevant sample.
5. Margin and settlement affect the comparison
Check that the probability and price refer to the same period, handicap, total or result definition. A regulation-time outcome is not interchangeable with an outcome including overtime.
For a complete market, inspect all outcome prices and account for overround. Pushes and half wins in Asian lines require a settlement-aware calculation rather than a simple binary formula.
6. Treat EV as an audit tool
Record the offered price, timestamp, probability source, market definition and calculated result. This makes the reasoning reproducible after the event.
Positive EV is not a recommendation or guarantee. It is a conditional mathematical statement: if the probability estimate and settlement assumptions are accurate, the quoted price has a positive theoretical average.