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Home/Glossary/Variance
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Math & Analytics
intermediate

Variance

What is Variance?

The measure of how much results deviate from the expected outcome in the short term.

Last updated:February 22, 2026

Variance (often called volatility in casino contexts) measures the swings in your results. A high-variance game produces bigger wins and bigger losses, while a low-variance game produces more consistent, smaller results.

Understanding variance is critical for bankroll management. Even with a positive expected value, high variance can wipe out your bankroll before the long-term math works in your favor. This is why professional gamblers size their bets carefully relative to their bankroll.

In slot machines, variance determines how frequently you win and how large the payouts are. High-variance slots pay out less often but with larger amounts. Low-variance slots pay out more frequently but in smaller amounts.

In practice

Blackjack basic strategy has a 0.5% house edge, but the standard deviation per hand is roughly 1.14 units. Play 400 hands at $25/hand ($10,000 wagered) and your expected loss is $50 — but the 1-sigma swing is ±$570. Routine sessions end anywhere from −$1,190 to +$1,090.

Variance is why a winning system can produce 30-bet losing streaks and why touts can fake credible hot streaks for months. A +3% ROI bettor needs roughly 1,000 bets before results reliably separate from coin-flip noise. Underestimating variance is the #1 cause of blown bankrolls — pros bake it into stake sizing via Kelly fractions and worst-case drawdown modeling.

Example

<p>Blackjack basic strategy has a <strong>0.5% house edge</strong>, but the standard deviation per hand is roughly <strong>1.14 units</strong>. Play <strong>400 hands at $25/hand</strong> ($10,000 wagered) and your expected loss is $50 — but the 1-sigma swing is <strong>±$570</strong>. Routine sessions end anywhere from −$1,190 to +$1,090.</p><p>Variance is why a winning system can produce <strong>30-bet losing streaks</strong> and why touts can fake credible hot streaks for months. A +3% ROI bettor needs roughly <strong>1,000 bets</strong> before results reliably separate from coin-flip noise. Underestimating variance is the #1 cause of blown bankrolls — pros bake it into stake sizing via Kelly fractions and worst-case drawdown modeling.</p>

Related Terms

Standard Deviation

A statistical measure of how spread out results are from the average.

Bankroll Management

The practice of managing your gambling funds to minimize the risk of going broke.

Risk of Ruin

The probability of losing your entire bankroll, even with a positive edge.

Return to Player (RTP)

The percentage of wagered money a game returns to players over time.

Frequently Asked Questions

What does Variance mean in gambling?

The measure of how much results deviate from the expected outcome in the short term.

What is an example of Variance?

<p>Blackjack basic strategy has a <strong>0.5% house edge</strong>, but the standard deviation per hand is roughly <strong>1.14 units</strong>. Play <strong>400 hands at $25/hand</strong> ($10,000 wagered) and your expected loss is $50 — but the 1-sigma swing is <strong>±$570</strong>. Routine sessions end anywhere from −$1,190 to +$1,090.</p><p>Variance is why a winning system can produce <strong>30-bet losing streaks</strong> and why touts can fake credible hot streaks for months. A +3% ROI bettor needs roughly <strong>1,000 bets</strong> before results reliably separate from coin-flip noise. Underestimating variance is the #1 cause of blown bankrolls — pros bake it into stake sizing via Kelly fractions and worst-case drawdown modeling.</p>

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