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What Is the Kelly Criterion in Betting?

The Kelly criterion is a formula for the bet size that maximizes long-run bankroll growth given your edge. Because full Kelly swings hard, most bettors use a fraction of it.

The formula

f = (bp − q) ÷ b, where b = decimal odds − 1, p = your win probability, and q = 1 − p. The result is the fraction of your bankroll to stake. A bigger edge or better odds means a bigger optimal bet; no edge means no bet.

Why fractional Kelly

Full Kelly is growth-optimal but produces brutal swings and deep drawdowns. Half or quarter Kelly keeps most of the growth with far smaller variance, which is why nearly all serious bettors size down. It also protects you when your probability estimate is a little off.

Example

At decimal odds of 2.10 with a 52% win estimate: b = 1.10, p = 0.52, q = 0.48. f = (1.10 × 0.52 − 0.48) ÷ 1.10 = 8.4% full Kelly, or ~4.2% at half Kelly.
Try it yourself. Use our free Kelly calculator — or see live +EV bets and odds on the board.

FAQ

Is Kelly betting risky?

Full Kelly is high-variance. Fractional Kelly (half or quarter) is the practical, lower-risk version most bettors use.

What if Kelly says a negative number?

A negative Kelly fraction means the bet is −EV at your estimated probability — you shouldn't bet it.

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