Kelly Criterion for Bet Sizing

Intermediate 10 min read 1 views Nov 28, 2025

The Kelly Criterion

Kelly Criterion determines optimal bet size to maximize long-term growth.

The Formula

f* = (bp - q) / b

  • f* = fraction of bankroll to bet
  • b = decimal odds - 1
  • p = probability of winning
  • q = probability of losing (1-p)

Fractional Kelly

Full Kelly is aggressive. Most bettors use 1/4 to 1/2 Kelly to reduce variance.

Important Notes

Kelly assumes you know true probabilities. Overconfidence leads to overbetting.

Discussion

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