Bankroll Simulator
Visualize how variance affects your bankroll over time. See risk of ruin and expected growth with Monte Carlo simulation.
Understanding Bankroll Variance
Even with a winning edge, short-term results can vary wildly. This simulator shows how variance affects your bankroll and helps you understand the importance of proper bankroll management.
Key Metrics Explained
- Bust Rate: Percentage of scenarios where you go broke
- Profit Rate: Percentage of scenarios ending with more than starting bankroll
- Median Final: The "typical" outcome (50th percentile) — often lower than average due to bust scenarios
Bankroll Management Rules
- 1-2% per bet: Conservative, low risk of ruin
- 2-5% per bet: Moderate risk, faster growth potential
- 5%+ per bet: Aggressive, high risk of ruin even with edge
Why Variance Matters
A 55% win rate at -110 odds is a 2% edge. But in 100 bets, you might win anywhere from 40 to 70 with roughly equal probability. This is why:
- You can't evaluate a bettor on small samples
- Proper bankroll sizing prevents going broke during downswings
- Long-term results converge to expected value
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