Kelly Criterion Calculator

Calculate optimal bet sizes using the Kelly Criterion formula. Maximize long-term growth while minimizing risk of ruin through mathematical bankroll management.

Results

Enter values to see results
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What is it?

The Kelly Criterion is a sophisticated mathematical formula developed by John Kelly in 1956 that determines the optimal percentage of your bankroll to bet on any given opportunity. It balances the goal of maximizing long-term growth with the need to minimize the risk of ruin. The formula considers both your edge (the difference between your estimated probability and the implied probability) and the odds offered to calculate the ideal bet size.

Why use it?

  • Maximize long-term bankroll growth mathematically
  • Minimize risk of ruin through optimal bet sizing
  • Make data-driven decisions about bet amounts
  • Balance growth objectives with risk tolerance
  • Improve consistency in bankroll management
  • Avoid over-betting or under-betting opportunities

How to use it

  1. 1Enter your estimated win probability (use No-Vig Calculator for fair odds)
  2. 2Input the odds you're getting from the sportsbook
  3. 3Specify your current bankroll amount
  4. 4Review the calculated Kelly percentage
  5. 5Place bets at the recommended percentage of your bankroll

Example

Example: You estimate 55% win probability, getting +110 odds (47.6% implied). Edge = 7.4%. Kelly % = (1.1 × 0.55 - 0.45) ÷ 1.1 = 0.155 ÷ 1.1 = 14.1%. With $10,000 bankroll, bet $1,410 (14.1%). Using 1/4 Kelly = 3.5% = $350 bet.

Kelly Criterion FAQ

Understanding Kelly

The Kelly Criterion is a mathematical formula that determines the optimal percentage of your bankroll to bet based on your edge and the odds offered. It maximizes long-term growth while minimizing the risk of ruin. The formula is: Kelly % = (bp - q) / b, where b = odds - 1, p = probability of winning, and q = probability of losing (1 - p).