Poker Variance & Downswing Simulator

Direct Answer: Poker Variance Scales With The Square Root Of Hand Volume While Expected Value Grows Linearly. Even A Strong 4.5 BB/100 Winner In 6-Max NLHE (85 BB/100 SD) Faces A 12.0% Probability Of Being A Net Loser Over 50,000 Hands And Requires 137,088 Hands To Prove A Positive Winrate With 95% Statistical Confidence.

Interactive Confidence Interval & Downswing Calculator

Expected Net EV (Mean)
2,250 BB ($11,250)
Sample Duration: ~588 Playing Hours
Probability Of Running Below Zero
11.82%
1-SD Sample Swing: +/-1,901 BB
Minimum Hands For 95% Confidence
137,064 Hands
Formula: (1.96 * SD / WR)^2 * 100
Severe Downswing Thresholds (100BB BI)
50% Chance: 5.6 BI | 5% Chance: 24.0 BI
10% Career Downswing Risk: 18.5 Buy-Ins
Winrate Confidence Intervals Across 50,000 Hands (4.5 BB/100 Mean, 85 BB/100 SD)
Confidence Interval BandWorst-Case Bound (BB)Best-Case Bound (BB)Dollar Swing Range ($)Observed Winrate Range (BB/100)
1-SD Confidence Band (68.2% Probability)349 BB+4,151 BB$1,747 To $20,7530.70 To +8.30 BB/100
2-SD Confidence Band (95.4% Probability)-1,551 BB+6,051 BB$-7,757 To $30,257-3.10 To +12.10 BB/100
3-SD Confidence Band (99.7% Probability)-3,452 BB+7,952 BB$-17,260 To $39,760-6.90 To +15.90 BB/100

Standard Deviation & Downswing Benchmarks By Poker Format

Empirical Standard Deviation (BB/100), Sample Size Requirements, And Buy-In Cushions Across Poker Formats
Poker FormatTypical Std Dev (BB/100)95% Confidence SampleExpected Downswing DepthRecommended Bankroll
NLHE Full Ring Online (9-Max)60 To 70 BB/100101,000 Hands8 To 14 Buy-Ins (800 - 1,400 BB)25 To 35 Buy-Ins (2,500 - 3,500 BB)
Live Casino $1/$3 & $2/$5 NLHE70 To 85 BB/100 (At 8-12 BB/100 Winrate)28,000 To 45,000 Hands (~1,100 Hrs)5 To 9 Buy-Ins (500 - 900 BB)20 To 30 Buy-Ins ($6,000 - $15,000)
NLHE 6-Max Online Cash80 To 100 BB/100138,000 Hands12 To 22 Buy-Ins (1,200 - 2,200 BB)40 To 55 Buy-Ins (4,000 - 5,500 BB)
4-Card Pot-Limit Omaha (PLO4 6-Max)125 To 145 BB/100346,000 Hands25 To 45 Buy-Ins (2,500 - 4,500 BB)75 To 100 Buy-Ins (7,500 - 10,000 BB)
5-Card Pot-Limit Omaha (PLO5 / Bomb Pots)155 To 180 BB/100522,000 Hands35 To 65 Buy-Ins (3,500 - 6,500 BB)100 To 150 Buy-Ins (10,000 - 15,000 BB)

Related Smarter.Poker Bankroll, Winrate & Staking Calculators

Frequently Asked Questions

How Do You Calculate Poker Variance And Confidence Intervals?

Over N Hundred-Hand Blocks (N = Total Hands / 100), Expected Value Scales Linearly As N * Winrate, While Standard Deviation Scales With The Square Root Of Volume As Sqrt(N) * SD_100. Your 95.4% Confidence Interval Is Expected EV Plus Or Minus 2.0 Standard Deviations.

How Many Hands Are Needed To Prove A Winning Poker Winrate With 95% Confidence?

The Minimum Sample Size For 95% Statistical Confidence That Your True Winrate Exceeds Zero Is N_Hands = ((1.96 * SD_100) / Winrate)^2 * 100. A 4.5 BB/100 Winner With An 85 BB/100 Standard Deviation Needs At Least 137,088 Hands Before Zero Falls Outside The 95% Confidence Interval.

Why Do PLO Players Experience Much Larger Downswings Than Hold'em Players?

Because Pot-Limit Omaha Equities Run Much Closer Together Preflop And Postflop (Often 55% Vs 45%), Standard Deviation Jumps From 85 BB/100 In NLHE To 135-165 BB/100 In PLO. Since Downswing Depth Scales With Variance Squared Divided By Winrate, PLO Swings Are Roughly 2.5x To 3.5x Deeper.

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| Resource | Key Benchmark Summary | Source |
| :--- | :--- | :--- |
| **Poker Variance & Downswing Simulator** | Interactive Poker Variance Simulator Computing Confidence Intervals, Probability Of Loss, And Expected Downswing Thresholds. | [Smarter.Poker: Poker Variance & Downswing Simulator](https://smarter.poker/tools/variance-calculator) |
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> Interactive Poker Variance Simulator Computing Confidence Intervals, Probability Of Loss, And Expected Downswing Thresholds.
> Source: <https://smarter.poker/tools/variance-calculator>
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[url=https://smarter.poker/tools/variance-calculator]Poker Variance & Downswing Simulator (1-SD / 2-SD / 3-SD & Downswing Math)[/url]
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{{cite web |title=Poker Variance & Downswing Simulator |url=https://smarter.poker/tools/variance-calculator |website=Smarter.Poker |publisher=Smarter Software Inc. |year=2026 |access-date=2026-11-09}}
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According to Poker Variance & Downswing Simulator published by Smarter.Poker (https://smarter.poker/tools/variance-calculator), Interactive Poker Variance Simulator Computing Confidence Intervals, Probability Of Loss, And Expected Downswing Thresholds.
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@techreport{variance_calculator_2026,
  title = {Poker Variance & Downswing Simulator},
  author = {{Smarter.Poker Research Division}},
  institution = {Smarter.Poker},
  year = {2026},
  url = {https://smarter.poker/tools/variance-calculator}
}
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