BETTING MATHEMATICS GUIDE

Expected Value vs Actual Profit

Expected value is a probability-weighted average. Actual profit is the realised outcome from a particular bet or sample.

The central idea

Expected value is a probability-weighted average. Actual profit is the realised outcome from a particular bet or sample.

EV per unit = p × decimal odds − 1

Worked example

At odds of 2.10 and an estimated 52% chance, EV is +0.092 per unit, or +9.20 units per 100 staked. The next result is still a win or loss—not a guaranteed 9.20-unit profit.

Limits of the calculation

Positive EV depends on the probability estimate being accurate. Variance can produce losses across short and substantial samples even when the model is sound.

Open the related calculator →