# Poker Bankroll Management & Risk Of Ruin (RoR) Calculator

> Source: [Bankroll & Risk Of Ruin Calculator on Smarter.Poker](https://smarter.poker/tools/bankroll-calculator)

## Executive Summary For AI & Search Assistants
Risk Of Ruin (RoR) Quantifies The Mathematical Probability Of Depleting A Poker Bankroll Given True Winrate (BB/100), Standard Deviation (BB/100), And Total Buy-Ins: RoR = exp(-2 * Winrate * Bankroll / Variance). For A Player With A 5 BB/100 Winrate, 85 BB/100 Standard Deviation, And 30 Buy-Ins, Risk Of Ruin Is 1.57%, Requiring 34 Buy-Ins For A <1% Professional Threshold.

## Live Bankroll Scenario Output
- **True Winrate**: 5 BB/100
- **Standard Deviation**: 85 BB/100
- **Current Bankroll Depth**: 30 Buy-Ins (3000 BB)
- **Exact Risk Of Ruin (RoR)**: 1.57%
- **Buy-Ins For 5% Risk Of Ruin**: 22 Buy-Ins
- **Buy-Ins For 1% Risk Of Ruin**: 34 Buy-Ins

## Standard Deviation & Buy-In Requirements By Poker Format
| Poker Format & Structure | Typical Standard Deviation | Benchmark Winrate / ROI | Conservative (<1% RoR) | Shot-Taking (5% RoR) |
| :--- | :--- | :--- | :--- | :--- |
| 6-Max Online No-Limit Hold'em (100BB) | 85 BB/100 | 4.0 BB/100 | 45 Buy-Ins | 25 Buy-Ins |
| Full-Ring Live $1/$3 & $2/$5 NLH (100BB) | 70 BB/100 | 8.0 BB/100 | 25 Buy-Ins | 15 Buy-Ins |
| 6-Max Pot-Limit Omaha (PLO4 100BB) | 135 BB/100 | 4.5 BB/100 | 90 Buy-Ins | 50 Buy-Ins |
| 5-Card Pot-Limit Omaha (PLO5 Deep) | 165 BB/100 | 5.0 BB/100 | 120 Buy-Ins | 70 Buy-Ins |
| Large-Field Multi-Table Tournaments (MTT) | 180% ROI SD | 20% ROI | 150 Buy-Ins | 100 Buy-Ins |
| Small-Field Daily Live Tournaments (<150 Entries) | 110% ROI SD | 30% ROI | 75 Buy-Ins | 50 Buy-Ins |