Variance Calculator

Understand your variance with multi-stake weighting and Monte Carlo simulation. If you'd rather fix your win rate than just watch the swings, check out our coaching programs.

Cashgame Variance Simulator

Understand your variance with multi-stake weighting

Basic Parameters

Note: Max 100M trial hands (hands × samples). More trial hands = longer load time and more lag. Override per-stake settings in Advanced panel.
Avg BB
$0.25
Avg WR
4.0
Avg SD
90
🌮

Nacho Bankroll Analysis

Minimum bankroll requirements based on Risk of Ruin • Primary stake: 25NL

😤
Aggressive Nacho
High-risk shot-taker10.0% RoR
$583
2,332 BB
Recommended
🙂
Basic Nacho
Industry standard5.0% RoR
$759
3,034 BB
🤠
Pro Nacho
Serious grinder1.0% RoR
$1,166
4,663 BB
😰
Nit Nacho
Bulletproof bankroll0.1% RoR
$1,749
6,995 BB

Formula: B = (σ² / 2WR) × ln(1/RoR) where σ = std dev per hand, WR = win rate per hand

How to Use & Read Results

Input Parameters

  • Win Rate: Your expected BB/100
  • Std Dev: Variance (typically 70-120)
  • Hands: Total hands to simulate
  • Samples: Number of runs
  • Advanced: Per-stake custom settings

Reading the Chart

  • Gray dashed: Theoretical EV line
  • Green lines: 95% confidence bounds
  • Faint lines: Individual sample runs
  • Best/Worst: Green/red highlights
  • Hover: Highlight any line

Key Insights

  • Wide spread: High variance expected
  • Tight spread: More consistent results
  • Below EV: Normal short-term
  • 95% CI: Most runs fall within
  • Long-term: Converges to true EV

Pro Tip: Run multiple simulations with different sample sizes to truly understand your variance. Even winning players can experience significant downswings , this tool helps you prepare mentally and financially.