The Kelly Criterion
Bet sizing is 90% mental. The other half is Kelly.
How much to wager?
Most bettors instinctively reach for a round number — ten bucks here, fifty there. But gut-feel staking ignores two things that actually matter: how big your edge is, and how much you stand to win. Bet a flat amount on every race and you’ll either crawl when you should sprint, or blow up when you should hold back.
The Kelly Criterion solves this with a single elegant formula. It tells you the exact amount to bet in order to maximize long-run growth while minimizing the risk of ruin.
The Kelly Formula
f
fraction
of bankroll to bet
b
odds
profit per $1 wagered
p
win probability
your estimate
q
1 − p
loss probability
(your estimate)
A positive result means bet this fraction.
Zero or negative means don’t bet at all.
Still Wondering?
Let's look at the 2026 UAE Derby - won by Wonder Dean.
Morning line odds had him at 12/1. But suppose you stay up all night watching the Japanese circuit and you price him at 8/1.
f = (b × p − q) ÷ b
f = (13 × 0.11 − 0.89) ÷ 12
f = 0.037
Kelly says stake 3.7% of your bankroll. If you have $500 in your account, you should place a ~$18 bet on Wonder Dean here.
Why does this work?
The market’s 12/1 odds imply a win probability of 7.7%. You believe the true chance is 8/1 (11.1%). That gap — your edge — is what Kelly exploits. The wider the edge, the larger the recommended stake. No edge, no bet.
Here’s how different probability estimates change the picture for a horse that goes off at 3/1 (25%):
| Your estimated probability | Edge% | Kelly stake | On $500 bankroll |
|---|---|---|---|
| 4/1 (20%) — market overvaluing | −5% | — | Don’t bet |
| 2/1 (33%) — small edge | +5% | 11% | $55 |
| 3/2 (40%) — solid edge | +15% | 20% | $100 |
| 1/1 (50%) — strong edge | +25% | 33% | $167 |
The formula scales naturally. A marginal edge gets a small stake; a large edge gets a meaningful one. You’re never overbetting a weak opinion.
A word of caution
Kelly assumes your probability estimate is accurate — which in practice it rarely is perfectly. Feed it an overconfident probability and the formula will recommend a stake that’s too large, amplifying variance in ways that can be painful to ride through.
Two practical adjustments:
- Fractional Kelly Most professionals operate here. Instead of betting exactly what the formula says, hedge your risk by betting a fraction of it. Half or quarter Kelly are popular options. Smaller risk, smaller reward.
- Cap your maximum stake Even with a strong edge, Kelly can suggest very large fractions. Many bettors hard-cap at 5–10% of bankroll regardless, treating Kelly as a ceiling rather than a target.
The Kelly Criterion is not a guarantee — it’s a framework. Its power lies in forcing you to quantify your edge before you place a single penny.
Use the tool here
The bottom line
Bet sizing is a skill that most bettors neglect. A good price on a horse means nothing if you bet $5 when Kelly says $100, or $500 when Kelly says don’t bother. The formula keeps you calibrated: growing steadily when you have an edge, and sitting on your hands when you don’t.
Next time you’re at the races, don’t just pick the horse — work out if the price is right, estimate your true probability, and let Kelly tell you how much to put on it.
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