Kelly Criterion Calculator

The bet size that maximizes long-run bankroll growth for any +EV opportunity. Half- and quarter-Kelly soften the variance with only a small drag on expected growth.

Recommended Bet
$22.73
2.27% of bankroll
Full Kelly %
9.09%
of bankroll, unscaled
Bet EV%
+13.64%
$3.10 expected profit

What this means

The Kelly formula is f = (decimal ร— p โˆ’ 1) / (decimal โˆ’ 1), where p is your true win probability and f is the fraction of your bankroll to wager. It's the unique bet size that maximizes the long-run geometric growth rate of your bankroll.

Full Kelly has theoretical optimum growth but stomach-churning variance โ€” drawdowns of 50% are routine. Most serious bettors use half or quarter Kelly: ~75% / ~94% of the optimal growth with dramatically less volatility.

Kelly assumes your win probability is correct. If you're overconfident, Kelly will over-bet you. When in doubt, scale down โ€” quarter Kelly is a safe default for the real world.