Tools/Bankroll Simulator

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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