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Glossary

What is Kelly Criterion?

The bet-sizing formula that maximises long-run bankroll growth, given an edge and a price.

Also known as: kelly, kelly fraction

Kelly is the answer to 'how much should I bet?'. It is the unique fraction of bankroll that maximises log growth: bet too much and ruin is a real outcome; bet too little and growth is too slow. Full Kelly is mathematically optimal but extremely volatile in practice, so most professional bettors size at half Kelly or quarter Kelly to soften variance.

Formula
f* = (b × p − q) / b, where b is decimal odds minus 1, p is your win probability and q = 1 − p.

Example

Decimal 2.10, your win probability 55%. b = 1.10, p = 0.55, q = 0.45. f* = (1.10 × 0.55 − 0.45) / 1.10 = 0.1409 → 14.1% of bankroll at full Kelly.

See kelly criterion applied to a real slate

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