Kelly Calculator (For Bet)

(Includes initial investment)
Your estimated probability of winning

Simulation Settings

Your initial amount
Number of times to repeat the bet
Number of simulation runs to perform

Results

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What is the Kelly Criterion?

The Kelly Criterion is a mathematical formula that helps determine the optimal bet size in gambling and investment scenarios to maximize long-term growth of capital.

Formula:

f* = (bp - q) / b

  • f*: Optimal fraction of capital to bet
  • b: Net odds received on the bet (e.g., 2.00 odds = 1.00)
  • p: Probability of winning
  • q: Probability of losing (1 - p)

Key Benefits:

  • Maximizes long-term capital growth
  • Prevents bankruptcy by controlling bet size
  • Accounts for both odds and probability

Important Notes:

  • Only bet when there is a positive edge (f* > 0)
  • Never bet more than the calculated fraction
  • Results are based on statistical probability