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Kelly Criterion Calculator

Kelly sizes a stake from the edge you believe you have. Enter your bankroll, the price on offer and your own probability estimate — if the estimate does not beat the break-even probability, the correct stake is zero.

Odds format
Kelly fraction
Recommended stake
€20.83

2.08% of bankroll

Full Kelly fraction
8.33%

Before the fractional multiplier.

Your edge
12.50%

b·p − q. Positive means the price beats your estimate.

Break-even probability
40.00%

Your estimate must exceed this for any stake.

The formula

Kelly fraction
b = decimal odds − 1
p = your estimated win probability
q = 1 − p
f = (b·p − q) ÷ b
stake = f × multiplier × bankroll
if f ≤ 0 → stake nothing

The multiplier is the fractional-Kelly setting: 1 for full, 0.5 for half, 0.25 for quarter.

Worked example

Odds of 2.50 with a €1,000 bankroll and your estimate of 45%. Here b = 1.50, p = 0.45 and q = 0.55, so f = (1.50 × 0.45 − 0.55) ÷ 1.50 = 8.33%. Full Kelly stakes €83.33; quarter Kelly stakes €20.83. The break-even probability at 2.50 is 40%, so a 45% estimate is a 5-point edge.

Kelly fraction at 2.00 odds for different probability estimates.
Your estimateEdgeFull KellyQuarter Kelly
48%−4%0% (no bet)0% (no bet)
50%0%0% (no bet)0% (no bet)
52%+4%4.00%1.00%
55%+10%10.00%2.50%
60%+20%20.00%5.00%

Common mistakes

  • Using implied probability as your estimate. That always gives a negative edge, because the price includes margin. Kelly needs an independent view.
  • Overestimating your accuracy. Being 5 points wrong turns a growth strategy into a fast drawdown at full Kelly.
  • Not recalculating the bankroll. Kelly is a fraction of your current bankroll, so it should shrink after losses, not stay fixed.
  • Applying Kelly to correlated bets. Several simultaneous positions on related outcomes stake far more of the bankroll at risk than each figure suggests.

Frequently asked questions

Last reviewed: 24 August 2026. Formulas on this page are checked against the unit test suite that powers every bet.ing calculator.