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Kelly Criterion Calculator
Optimize your bet sizing using the Kelly formula for maximum growth.
Result
Kelly Fraction
Optimal Bet Size
📊 Growth Chart
Full Kelly
Half Kelly
Quarter Kelly
📋 How to Use
- 1 Enter your estimated win probability (0-100%)
- 2 Enter the win odds (e.g., 2.0 means you win 2x your bet)
- 3 Enter the loss odds (usually 1.0, meaning you lose your bet)
⚠️ Risks & Warnings
- • Full Kelly can be very aggressive and lead to large drawdowns
- • Overestimating win probability leads to overbetting and potential ruin
- • Many professionals use "Half Kelly" or "Quarter Kelly" for safety
- • Never bet more than you can afford to lose
📚 What is Kelly Criterion?
The Kelly Criterion is a mathematical formula used to determine the optimal size of a series of bets to maximize long-term growth. Developed by John L. Kelly Jr. at Bell Labs in 1956.
🎯 Understanding the Result
A Kelly fraction of 0.25 means you should bet 25% of your bankroll. Negative values mean the bet has negative expected value - do not bet. Values over 1.0 are rare and suggest reviewing your inputs.
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Expert Note
Pro Tip: Most experienced bettors use Half Kelly (divide result by 2) to reduce volatility while maintaining good growth.
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Formula
Kelly Criterion formula: f* = (bp - q) / b, where b is the odds, p is win probability, and q is loss probability (1-p).