Understand the Math Behind Gambling
Free educational calculators and resources that teach probability theory, expected value, and risk analysis. Learn why the house always wins and understand the mathematics that govern games of chance.
What We Teach
Probability Theory
Understand how probability works in games of chance. Calculate expected value, variance, and learn why betting systems cannot overcome negative expectations.
Risk Analysis
Learn to quantify risk through variance, standard deviation, and risk of ruin calculations. Understand why volatility doesn't change the house edge.
Mathematical Literacy
Develop critical thinking skills to evaluate gambling claims. Learn to spot fallacies like the gambler's fallacy and understand the law of large numbers.
Featured Calculators
Expected Value Calculator
Calculate the average outcome of any bet or game over many repetitions.
Learn why all casino games have negative expected value for players and positive expected value for the house.
Try CalculatorVariance Calculator
Understand short-term volatility and bankroll swings.
Discover how variance determines bankroll requirements and why high volatility games are riskier even with the same house edge.
Try CalculatorProbability of Streaks
Learn how likely winning and losing streaks really are.
Understand the gambler's fallacy and why you're never "due for a win" after a losing streak in independent events.
Try CalculatorWhy This Matters
Gambling fallacies cost people billions of dollars every year. Understanding the mathematics behind gambling is the first step toward making informed decisions. Our calculators demonstrate fundamental truths that the gambling industry doesn't want you to understand:
- No betting system can overcome negative expected value. Progressive systems like Martingale only increase risk without changing your average outcome.
- The house edge is permanent. Casinos don't rely on luck—they rely on mathematical certainty that works in their favor over time.
- Past results don't affect future outcomes. A coin doesn't "remember" its last flip, and you're never "due" for a win after losses.
- Variance is not opportunity. Short-term swings work both ways, and chasing losses is the fastest path to ruin.
Our mission is education, not profit. We receive no compensation from casinos and actively discourage gambling. If you choose to gamble, do so for entertainment only, with money you can afford to lose, and with full understanding that the math is against you.
Educational Disclaimer
This website provides educational content about probability, statistics, and mathematical analysis. All calculators and simulators are designed for educational purposes only. Nothing on this website constitutes betting advice, gambling strategy, or encouragement to gamble. We do not endorse or promote gambling in any form. All casino games have negative expected value for players—the house always wins in the long run. Users must be 18+ and gambling may be illegal in your jurisdiction.
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