Casino Odds Calculator
Calculate and compare house edge, expected value, and player return for popular casino games including blackjack, roulette, craps, slots, and more.
Interactive Use this tool →Casino Tools & Calculators
Explore the mathematics behind casino games with our free interactive tools. These educational calculators help you understand house edge, expected value, and why casinos always have the statistical advantage. Knowledge is power—even when you're just curious.
Bankroll Simulator
Visualize how gambling bankrolls fluctuate over time. Run multiple simulated sessions to understand variance, risk of ruin, and why short-term wins rarely lead to long-term profits.
Interactive Use this tool →Blackjack Strategy Chart
Interactive basic strategy chart showing the mathematically optimal play for every blackjack hand. The same foundation the MIT Blackjack Team mastered before adding card counting.
Interactive Use this tool →Poker Probability Calculator
Calculate the exact odds of being dealt any poker hand. Explore royal flush odds, drawing probabilities, and the fascinating mathematics behind Texas Hold'em.
Interactive Use this tool →Poker Equity Calculator
Calculate pre-flop equity in heads-up matchups. Compare hand strengths, understand why AA beats KK 80% of the time, and learn the mathematics behind poker hand rankings.
Interactive Use this tool →Poker Outs & Pot Odds Calculator
Calculate poker outs and pot odds to make mathematically correct drawing decisions. Learn when calling a bet is profitable based on your equity versus pot odds.
Interactive Use this tool →Craps Odds Calculator
Analyze every craps bet from Pass Line to Proposition bets. Discover why free odds have 0% house edge and why "Any Seven" is the worst bet in the casino.
Interactive Use this tool →Jackpot Odds Calculator
Calculate the true odds of hitting casino jackpots. Visualize how rare progressive jackpot wins really are and compare them to everyday probability events.
Interactive Use this tool →Roulette Spin Analyzer
Spin thousands of times and watch randomness in action. Understand why "hot" numbers, pattern-seeking, and the Gambler's Fallacy don't work in roulette.
Interactive Use this tool →Roulette Bet Analyzer
Build custom betting patterns on an interactive roulette table and see why all strategies face the same house edge. Compare European vs. American wheels.
Interactive Use this tool →Comp Value Calculator
Discover how casinos calculate your "theoretical win" and what percentage they return as comps. See the math behind free rooms, meals, and VIP perks.
Interactive Use this tool →Session Outcome Calculator
Calculate the probability of winning, losing, or breaking even in a gambling session. See how house edge, bet size, and session length affect your odds.
Interactive Use this tool →Martingale Strategy Simulator
See why the "can't lose" doubling strategy fails. Simulate thousands of sessions and discover how table limits and bankroll constraints doom the Martingale system.
Interactive Use this tool →True Odds Converter
See how casinos build their edge. Convert between true probability and casino payouts to reveal the hidden mathematical advantage in every bet.
Interactive Use this tool →Betting Odds Converter
Convert between American (+150), Decimal (2.50), and Fractional (3/2) odds formats instantly. Calculate implied probability and potential payouts.
Interactive Use this tool →Kelly Criterion Calculator
Calculate optimal bet sizes using the Kelly Criterion formula. See why professional gamblers and investors use this mathematical approach to bankroll management.
Interactive Use this tool →Slot Machine RTP Calculator
Calculate the true cost of slot machine play using RTP percentages. See how payback rates translate to expected losses over hours, days, and weeks.
Interactive Use this tool →Betting System Analyzer
Test and compare popular betting systems like Fibonacci, D'Alembert, Paroli, and Oscar's Grind. See why all systems fail against the house edge.
Interactive Use this tool →Gambling Cost Calculator
Calculate the true cost of gambling over time. See how much money and time regular gambling really costs over weeks, months, and years—plus what that money could become if invested.
Interactive Use this tool →Streak Probability Calculator
Calculate the true odds of winning and losing streaks. See why hot runs and cold spells are mathematically inevitable—and why they don't predict future outcomes.
Interactive Use this tool →Expected Value Calculator
Calculate the expected value of any bet. The fundamental math that determines whether a wager is profitable or losing in the long run—the single most important concept in gambling.
Interactive Use this tool →Blackjack Hand Simulator
Simulate thousands of blackjack hands to see why basic strategy works. Visualize expected outcomes for hit, stand, double, and split decisions with Monte Carlo simulation.
Interactive Use this tool →Baccarat Odds Calculator
Calculate baccarat odds for Banker, Player, and Tie bets. Understand the commission system, why pattern tracking doesn't work, and see why high rollers prefer this game.
Interactive Use this tool →Variance Calculator
Understand why your results differ from expected value. Calculate standard deviation, confidence intervals, and see how "luck" is just mathematics in action.
Interactive Use this tool →Casino Trip Budget Planner
Plan your casino trip budget with realistic expectations. Calculate expected losses based on games, hours, and bet sizes. Make informed entertainment spending decisions.
Interactive Use this tool →Time-to-Ruin Calculator
Calculate how long your gambling bankroll will last. See the mathematical reality of the "Gambler's Ruin" problem based on house edge, bet sizing, and playing frequency.
Interactive Use this tool →Loss Recovery Calculator
Calculate what it would really take to recover gambling losses. See why "chasing losses" is mathematically futile and psychologically dangerous.
Interactive Use this tool →Parlay Calculator
Calculate parlay odds, payouts, and house edge. See why accumulator bets have massive hidden edges and how the math compounds against you with every leg.
Interactive Use this tool →Bonus Wagering Calculator
Calculate the true value of casino bonuses after wagering requirements. See how playthrough requirements and house edge eat into "free money" offers.
Interactive Use this tool →Card Counting Trainer
Learn how card counting works with our interactive trainer. Practice Hi-Lo counting, understand running and true counts, and see when the math shifts in the player's favor.
Interactive Use this tool →Casino Game Comparison Tool
Compare every casino game side-by-side. See house edge, variance, hourly expected loss, and skill factors for blackjack, slots, roulette, baccarat, craps, and more in one comprehensive view.
Interactive Use this tool →Lottery Odds Calculator
Calculate and compare lottery odds for Powerball, Mega Millions, EuroMillions, and more. See how your jackpot chances compare to being struck by lightning or becoming a movie star.
Interactive Use this tool →Casino Probability Quiz
Test your understanding of gambling math with our interactive quiz. Learn why most people get probability questions wrong and how casinos exploit these cognitive blind spots.
Interactive Take the quiz →Gambling Fallacy Demonstrator
Test the Gambler's Fallacy, Hot Hand myth, due number theory, and pattern-seeking against real simulations. See why your intuition fails against true randomness.
Interactive Use this tool →Video Poker Paytable Analyzer
Analyze video poker paytables to find games with the best returns. Compare Jacks or Better, Deuces Wild, Double Bonus, and more to understand why small paytable differences create massive return variations.
Interactive Use this tool →Gambling Self-Assessment
Confidential self-assessment based on the Problem Gambling Severity Index (PGSI). Understand your gambling behavior patterns and identify if gambling may be causing problems in your life.
Interactive Take assessment →Gambling Session Tracker
Track your gambling sessions and compare actual results to mathematical expectations. See how variance affects short-term outcomes and why your results differ from expected value.
Interactive Use this tool →Gambler's Ruin Calculator
Calculate the exact probability of going bust versus reaching your win goal. Understand the classic probability problem that proves why the house always wins in the long run.
Interactive Use this tool →Keno Odds Calculator
Calculate exact keno probabilities using hypergeometric distribution. Understand why keno has some of the worst odds in the casino with 25-40% house edge.
Interactive Use this tool →Sic Bo Probability Calculator
Calculate exact odds for every Sic Bo bet. Understand the ancient Chinese dice game that dominates Macau casinos—from Small/Big bets to Specific Triples.
Interactive Use this tool →Break-Even Win Rate Calculator
Calculate the exact win rate needed to break even on any bet. Essential for understanding odds, pot odds in poker, and why the vig matters in sports betting.
Interactive Use this tool →Hot & Cold Number Analyzer
Input real gambling results and statistically test whether "hot" or "cold" numbers are meaningful or just random variance. Uses chi-square analysis to expose pattern-seeking illusions.
Interactive Use this tool →Optimal Stopping Calculator
Master the mathematics of knowing when to quit. Explore the famous Secretary Problem and the 37% Rule—the proven strategy for making optimal decisions under uncertainty.
Interactive Use this tool →Slot Volatility Comparison Tool
Compare low, medium, and high volatility slots side-by-side. Visualize how slot variance affects your bankroll through interactive simulations and understand why volatility matters more than RTP alone.
Interactive Use this tool →Outcome Distribution Calculator
Visualize the probability distribution of gambling session outcomes. See your chances of winning, losing, or breaking even with statistical bell curves and confidence intervals.
Interactive Use this tool →Multi-Game Session Simulator
Plan your casino visit by simulating bankroll changes across multiple games. See how switching between blackjack, slots, roulette, and other games affects your expected outcomes with Monte Carlo simulation.
Interactive Use this tool →Entertainment Cost Comparator
Compare your gambling costs to other entertainment options. See how the hourly cost of slots, table games, and video poker stacks up against movies, concerts, sports events, and more.
Interactive Use this tool →RNG Fairness Tester
Test whether number sequences are truly random using the same statistical methods regulators use to certify casino RNGs. Analyze chi-square, runs, serial correlation, and gap tests.
Interactive Use this tool →
Why These Tools Exist: Understanding the mathematics behind gambling is one of the most effective ways to make informed decisions. According to the National Council on Problem Gambling, education about true odds and expected outcomes is a key component of responsible gambling awareness. Our tools are designed purely for education—not to help anyone gamble.
How Casino Math Works
Every casino game is designed with a built-in mathematical advantage for the house. This advantage, called the house edge, ensures that casinos profit over time while still allowing individual players to win in the short term. It's the same principle that makes insurance companies profitable—mathematics, not luck.
Our tools help you visualize these concepts in practical terms. Want to understand why the MIT Blackjack Team was such a big deal? Our calculator shows how small changes in house edge translate to massive differences over thousands of bets. Curious about why casinos track players so carefully? Understanding the math reveals why advantage players are such a threat to casino profits.
Coming Soon
We're developing additional educational tools to help explain the fascinating world of casino mathematics:
- Bet Sizing Calculator: Explore how bet sizing affects risk of ruin and session outcomes
Remember: These tools are for education and curiosity only. Understanding the mathematics of gambling helps explain why casinos are profitable businesses—it's not a strategy for winning. If you or someone you know has concerns about gambling, the National Problem Gambling Helpline is available 24/7 at 1-800-522-4700.
Related Reading
Explore more about casino mathematics and the fascinating stories behind the numbers:
The MIT Blackjack Team
How students used mathematics to beat the house edge—and the arms race that followed.
Read the story →How Casinos Track You
The surveillance technology casinos use to monitor play and protect their mathematical edge.
Read the story →The $39 Million Winner
When the odds went spectacularly in one player's favor—and what happened after.
Read the story →