Bonus Bet Bankroll

Kelly Criterion Calculator

Size each bet in proportion to your edge. Enter your bankroll, the odds, and your fair win probability, and the calculator returns the Kelly stake plus safer fractional versions.

American, decimal, or fractional
Recommended stake
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Share of bankroll
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Full Kelly
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Edge
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Expected growth per bet
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Example numbers are pre-filled. Replace them with the prices in front of you.

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How to use the Kelly calculator

  1. Enter your bankroll. Use only money set aside for betting.
  2. Enter the odds you can bet and either your win probability or the fair odds from a devigged sharp line.
  3. Pick a Kelly fraction. Quarter Kelly is a sensible default for bettors using market-derived edges.

If the calculator says No bet, your probability doesn’t beat the break-even rate at that price, and Kelly stakes nothing.

The formula

f* = (b × p − q) ÷ b b = decimal odds − 1 p = win probability q = 1 − p Stake = Bankroll × f* × your Kelly fraction

Worked example

Bankroll $5,000. You can bet +110 (b = 1.10) on a side you rate at a 50% win probability.

  • Full Kelly: (1.10 × 0.50 − 0.50) ÷ 1.10 = 4.55%, or $227.27.
  • Quarter Kelly: 1.14%, or $56.82.

The edge here is 5% (0.50 × 2.10 − 1). A smaller edge or a less certain probability should mean a smaller stake, and Kelly scales it down automatically.

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Frequently asked questions

Why not bet full Kelly?

Full Kelly assumes your win probability is exactly right. It never is. Overestimating your edge with full Kelly means overbetting, which cuts long-run growth and makes drawdowns of 50% or more routine. Most professionals bet a quarter to half Kelly.

What does expected growth per bet mean?

It’s the average percentage your bankroll grows per bet if you stake this fraction repeatedly on bets like this one, measured geometrically. It’s usually a fraction of a percent, which is why volume matters.

Should I use Kelly for arbitrage or bonus bets?

No. Arbitrage and hedged promos have no outcome risk, so Kelly doesn’t apply. Size those by the promo limit or the book’s max bet. Kelly is for unhedged +EV bets.