Variance in Poker

Beginner

Definition

Variance is the statistical measure of how much your results deviate from the expected value. In poker terms: it's the swings—the difference between what should happen mathematically and what actually happens in the short term.

High variance = Wild swings. Low variance = Steadier results.

Variance in Real Life

Imagine two players with identical win rates of $20/hour:

Player Style Variance
Player A Tight, selective Low - Steady grind
Player B Aggressive, high-risk High - Big swings

Over 1,000 hours, both make $20,000. But Player B's journey includes massive ups and crushing downs.

Why Variance Exists

🎲 Cards Are Random

You can be 80% favorite and still lose 20% of the time. Over 100 hands, you might lose 30 times instead of 20—that's variance.

💥 Big Pots Amplify Swings

When you get all-in, results become more extreme:

  • Win → Big jump up
  • Lose → Big drop down

The Variance Curve

Variance Curve

Short-term results look random. Long-term results reveal your true edge.

Poker Example

You have A♠ A♥ vs K♣ K♦ all-in preflop.

Your equity: 82%

Over 100 such situations:

  • Expected wins: 82
  • Possible outcomes: 70-95 wins (variance!)
  • Worst case possible: 65 wins (still losing 35 times)

Even with massive edges, you can run badly.

How to Handle Variance

✅ Do This

  • Maintain proper bankroll management
  • Focus on decision quality, not results
  • Think in terms of long-term EV
  • Take breaks during bad runs

❌ Avoid This

  • Judging your play by short-term results
  • Playing stakes you can't afford
  • Tilting after bad beats
  • Changing strategy based on recent losses

Variance Quick Facts

Fact Reality
Can you avoid variance? No
Does skill reduce variance? Not directly (but it improves EV)
How to survive variance? Bankroll management
When does skill show? Over thousands of hands

Key Takeaway

Variance is not your enemy—it's just math. Accept that short-term results don't reflect your skill. Focus on making +EV decisions, maintain a proper bankroll, and let the long run sort it out.

Related Concepts

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