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Poker Bankroll Requirements Calculator

Calculate the bankroll needed for different poker formats based on your win rate, variance, and risk tolerance to avoid going broke.

By Joseph Orduna·Reviewed April 6, 2026·How this works
Formula:Bankroll = -σ² × ln(RoR) / (2 × WR)

For mathematical education only. This tool computes probabilities and expected values; it is not a betting system and cannot predict individual outcomes.

If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline: 1-800-GAMBLER (1-800-522-4700), or visit ncpgambling.org.

How these calculators are built →

Standard buyin for the game you play

Different formats require different bankroll sizes

5% = conservative, 10% = moderate risk

Optional: Your expected win rate

Cash: ~80, MTT: ~150, Spin: ~250

Try These Examples

Quick-start with common scenarios

Bankroll Simulator

Monte Carlo simulation with 1,000 iterations

$

Your initial capital

%

Your expected advantage

%

Percentage of bankroll per bet

Total bets to simulate

Bankroll Management Fundamentals

Bankroll management is the foundation of professional poker. Even skilled players go broke without proper bankroll sizing due to variance.

The Formula: Required bankroll depends on your win rate, variance (standard deviation), and acceptable risk of ruin. Higher variance games need more buyins.

Cash Game Players

  • 20-50 buyins standard
  • SD typically 70-90 BB/100
  • Can move up/down quickly

Tournament Players

  • 100-200 buyins needed
  • Extreme variance (ROI-based)
  • Top-heavy payouts increase swings

Key Rule: Never risk money you cannot afford to lose. Your poker bankroll should be completely separate from your life expenses.

Frequently Asked Questions

How many buyins do I need for poker?

For cash games, 20-50 buyins is standard ($2000-$5000 for $1/$2). Tournaments require 100-200 buyins due to higher variance. Your exact requirement depends on your win rate and acceptable risk of ruin.

What is risk of ruin in poker?

Risk of ruin (RoR) is the probability of losing your entire bankroll before it grows. A 5% RoR means you have a 5% chance of going broke. Lower risk tolerance requires larger bankrolls.

Should I have separate bankrolls for cash and tournaments?

Yes, many pros recommend this. Cash games and tournaments have very different variance profiles. A ${symbol}10,000 total bankroll might be split into ${symbol}6,000 for cash (30 buyins at ${symbol}1/${symbol}2) and ${symbol}4,000 for tournaments (40 buyins at ${symbol}100 MTTs).

How does win rate affect bankroll requirements?

Higher win rates require smaller bankrolls. A 10 BB/100 winner at ${symbol}1/${symbol}2 might only need 15 buyins for 2% RoR, while a 2 BB/100 winner needs 50+ buyins. Breakeven or losing players need infinite bankrolls.

When should I move up or down in stakes?

Common rule: Move up when you have 30+ buyins for the next level, move down when you drop below 20 buyins for your current level. Some pros use 'shots' - taking 3-5 buyin shots at higher stakes while maintaining their regular bankroll.

How this works

Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.

What this tool can’t do

When to consult a professional

This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.

Sources

  1. [1]
    Wizard of Odds — Michael Shackleford, ASA
    Industry·wizardofodds.com·Accessed Apr 21, 2026

    Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.

  2. [2]
    National Council on Problem Gambling
    Official source·ncpgambling.org·Accessed Apr 21, 2026

    Responsible-gambling guidance and 1-800-GAMBLER helpline.

For mathematical education only

This tool computes probabilities and expected values. It is not a betting system and cannot predict individual outcomes. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER (1-800-522-4700).

National Council on Problem Gambling →

Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

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