Kelly criterion calculator

The Kelly criterion converts an edge into a stake size. It needs two honest inputs — your probability and the price — and it will just as honestly tell you when the right stake is zero.

your estimate that the bet wins

the price actually available

money set aside for betting only

Staking plan% of bankrollStake
Full Kelly10.0%100.00
Half Kelly5.0%50.00
Quarter Kelly2.5%25.00

At 55% probability and odds of 2.00 your edge is 10.0% — full Kelly stakes 10.0% of the bankroll.

The formula

With decimal odds d and win probability p, the Kelly fraction of bankroll is:

f* = (d × p − 1) ÷ (d − 1)

The numerator, d × p − 1, is your edge — the expected profit per unit staked. At p = 55% and d = 2.00 the edge is 0.10, so f* = 0.10 ÷ 1.00 = 10% of bankroll. When the edge is zero or negative, f* is zero or negative — which is the formula saying don't bet, and this calculator says it out loud rather than showing a small number anyway.

Why serious bettors bet less than full Kelly

Full Kelly is optimal only if your probability input is exactly right — and in football it never is. Overestimate your edge and full Kelly systematically overbets, which costs more than underbetting saves; the drawdowns it tolerates are also brutal, routinely halving a bankroll on the way to its long-run growth. Half and quarter Kelly give up a little growth for much smoother variance and protection against the input being wrong — which is why the table above shows all three, and why the fraction, not the formula, is the real decision. The full treatment — the geometry of losses, worked examples, the ways the formula magnifies self-deception — is in our Kelly criterion guide.

Garbage in, garbage out

The calculator cannot rescue a bad probability. Every number it outputs is conditional on your estimate being better than the market's — a high bar that a realistic look at prediction accuracy should temper, and that only a few hundred recorded bets can begin to demonstrate. Our own match probabilities are published with a graded public record for exactly that reason: a probability with no record behind it is an opinion with decimals.

Stake only what you can afford to lose. The Kelly criterion manages the growth of a betting bankroll; it says nothing about whether betting is a good use of the money — most of the time, for most people, it isn't.