Kelly Criterion Calculator

Kelly criterion calculator: how much of your bankroll to stake when you think the odds are wrong. Full, half and quarter Kelly.

Your edge

Suggested stake

Stake–
Full Kelly (% of bankroll)–
Your edge–
Bookie's implied chance–
Expected profit on this stake–

Kelly % = (b × p − (1 − p)) ÷ b, where b is decimal odds − 1 and p is your probability. Half and quarter Kelly bet that fraction of it.

You think a team has a 45% chance. The bookie has them at 6/4, which only says 40%. That’s a value bet. But how much should you put on it? The Kelly criterion calculator gives a straight answer: with a £1,000 bankroll, full Kelly is £83.33, and half Kelly, which most people use, is £41.67.

Drop your estimate to 35% and the stake goes to zero. No edge, no bet. That’s half the value of Kelly right there.

What the Kelly criterion calculator does

Kelly is a formula for bet size that grows your bankroll as fast as possible over the long run, if your probabilities are right. Bet too little and you leave money on the table. Bet too much and the losing runs knock you back further than the wins push you forward.

Kelly % = (b × p − (1 − p)) ÷ b
b = decimal odds − 1     p = your chance it wins

At 2.50 and 45%: (1.5 × 0.45 − 0.55) ÷ 1.5 = 8.3% of your bankroll.

Why almost nobody bets full Kelly

That “if your probabilities are right” is carrying a lot of weight. Nobody’s estimates are perfect, and Kelly punishes overconfidence hard. If you think 45% and the truth is 41%, full Kelly is betting way too much for the real edge.

Full Kelly also swings a lot. Losing a third of your bankroll on the way to long-run growth is normal, and most people don’t enjoy that. Half Kelly gives you about three quarters of the growth with much smaller swings. Quarter Kelly is calmer still. If you’re new to value betting, start at quarter.

Where your probability comes from

The calculator can’t tell you if 45% is right. That’s the hard part, and it’s on you. A few honest ways to get a number:

  • Your own model, tested over hundreds of bets, not ten.
  • A sharp bookie’s price with the margin taken out, compared with a soft bookie’s price.
  • The exchange price, which is usually close to fair.

“I’ve got a feeling” is not a probability. Kelly turns a feeling into an oversized bet faster than anything.

Kelly sits nicely next to the odds calculator, which shows the bookie’s implied chance for any price.

Kelly assumes you’ll be betting for a long time. Make sure it’s money you can leave in play. BeGambleAware.org is free and confidential if it stops being fun.

Frequently asked questions

What is the Kelly criterion?

A formula that tells you what share of your bankroll to bet, based on the odds and your own estimate of the chance. It maximises long-run growth if your estimates are accurate.

Why use half Kelly?

Because your estimates won't be perfect. Half Kelly keeps most of the growth, cuts the swings a lot, and protects you if you're more confident than you should be.

What if Kelly gives a negative number?

It means there's no edge at that price. The right stake is zero.

More Betting calculators

View all →