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Full, half or quarter Kelly

Kelly criterion calculator for bet size.

Use your own probability estimate and the listed odds to calculate a full, half or quarter Kelly bankroll fraction.

Size the stake
Full Kelly8.33%
Selected fraction4.17%
Calculated stake$41.67
Expected return per $1+12.50¢

A $0 result means your probability estimate does not show a positive mathematical edge at these odds.

How it works

Your probability drives the answer.

Kelly compares your estimated win probability with the break-even probability implied by the odds. A positive gap produces a bankroll fraction; no positive gap produces a $0 result.

The formula is extremely sensitive to an inaccurate probability estimate. Fractional Kelly reduces the calculated stake, but it cannot make a bad estimate accurate.

Questions, answered

What does the Kelly criterion calculate?

It calculates the bankroll fraction that maximizes long-run logarithmic growth when the supplied win probability is accurate.

What are half Kelly and quarter Kelly?

They use 50% or 25% of the full Kelly fraction to reduce the size and volatility of the calculated stake.

Why does the calculator recommend $0?

The probability you entered does not imply a positive mathematical expected return at the listed odds.