Free interactive tools to help you understand the mathematics behind casino games. Calculate expected losses, convert between RTP and house edge, and make informed decisions. Our calculators are based on established probability and statistics principles, aligned with industry standards used by testing agencies like Gaming Laboratories International (GLI).
Calculate the mathematical advantage casinos have over players. Understand expected losses, convert between RTP and house edge, and estimate session costs based on playing time.
Calculate odds and probabilities for various gambling outcomes. Convert between decimal, fractional, and American odds. Understand winning/losing streaks mathematically.
Run Monte Carlo simulations to visualize how variance affects your bankroll over time. Understand risk of ruin, optimal bet sizing, and why short-term results can vary wildly.
Calculate optimal bet sizes using the Kelly Criterion formula. Learn how professional bettors and investors determine the mathematically optimal wager size based on edge and odds.
Calculate the true cost of casino bonuses before accepting them. Understand wagering requirements, expected loss while clearing, and whether a bonus actually has positive mathematical value.
Calculate combined odds, potential payouts, and true probability for parlay (accumulator) bets. Understand why the house edge compounds with each leg and make informed decisions.
Calculate whether a bet has positive or negative expected value (EV). This fundamental metric tells you if a wager is mathematically profitable over time—the key to smart betting.
Compare betting odds from multiple bookmakers to find the best value. Calculate implied probabilities, identify potential arbitrage opportunities, and understand which source offers optimal returns.
Calculate pot odds, required equity, and convert outs to win probability using the Rule of 4 and 2. Determine if calling is mathematically profitable based on fundamental poker math.
Test popular betting systems like Martingale, Fibonacci, D'Alembert, and Paroli with Monte Carlo simulations. Watch in real-time as these strategies inevitably fail against the house edge.
Practice perfect blackjack basic strategy with instant feedback. Test your knowledge of hit, stand, double, split, and surrender decisions against every dealer upcard.
Analyze any roulette bet type with exact odds, payouts, and expected value calculations. Compare European vs American roulette to understand the mathematical impact of variant selection.
Visualize how slot machine RTP and volatility work together to create wildly different short-term outcomes. Run simulations to understand why session results vary dramatically.
Calculate your probability of going broke based on win rate, bet size, and bankroll. This essential bankroll management tool helps you understand the mathematical risk in your gambling approach.
Calculate optimal betting unit sizes for disciplined bankroll management. Compare flat betting vs percentage staking, set confidence-based stakes, and build a structured betting approach.
Plan your gambling sessions mathematically. Calculate how long your bankroll will last, set session budgets, compare entertainment costs, and understand the true hourly cost of play.
Calculate the bookmaker's vig (juice/margin) and discover true fair odds. Understand how much sportsbooks take on every bet and find no-vig lines for any market.
Calculate optimal hedge bets to lock in guaranteed profits or minimize losses. Perfect for futures bets, parlays, and any situation where you want to secure winnings.
Compare any two Texas Hold'em hands to see exact win percentages. Monte Carlo simulation calculates precise equity for any matchup, including with board cards.
Calculate your theoretical loss and estimated comp value based on your play. Understand how casinos evaluate players and what your gambling activity is worth in rewards.
See the expected value of every blackjack decision—hit, stand, double, split, or surrender—for any hand. Understand exactly why basic strategy is mathematically optimal.
Analyze Player, Banker, and Tie bet mathematics. Calculate commission impact, expected value, and compare side bet odds for baccarat's lowest house edge bets.
Analyze every craps bet type with exact house edge, true odds, and expected value. Compare pass line, place bets, hardways, and proposition bets side by side.
Calculate optimal stakes for betting on multiple selections. Dutch your bets to guarantee equal profit regardless of which selection wins.
Understand the mathematics of consecutive losses. See how likely losing streaks are based on win rate, and why they're a normal part of gambling variance.
Analyze sportsbook cash out offers mathematically. Compare the cash out to expected value and see how much margin the book is taking on the offer.
Compare true mathematical odds to what casinos actually pay. See fair payouts, house edge cost per bet, and understand exactly what you're giving up on every wager.
Compare the expected cost per hour of gambling to other entertainment activities. Budget your casino visits alongside movies, concerts, and sports—see the true entertainment value.
Determine if your gambling results are statistically significant or just variance. Calculate confidence intervals, p-values, and how many bets you need to prove a real edge.
Log your gambling sessions, track wins and losses over time, and compare actual results to expected value. All data stored locally—your gambling records stay private.
Build and analyze your entire bet slip. Add multiple independent bets and see combined expected value, weighted average edge, total risk, and overall ROI for all your selections.
Calculate the exact win percentage needed to break even at any betting odds. Compare your actual results to the required threshold and see if you're truly profitable.
Set responsible gambling limits based on your income and expenses. Calculate a sustainable budget, see healthy spending ratios, and plan session budgets for entertainment, not financial risk.
Free, confidential self-assessment based on the Problem Gambling Severity Index (PGSI). Answer 9 clinically validated questions to understand your gambling behavior and access helpful resources.
Calculate when progressive jackpots become mathematically profitable (+EV). Analyze popular jackpot games like Mega Moolah, understand break-even points, and explore must-hit-by jackpot mathematics.
Calculate arbitrage opportunities between bookmakers. Enter odds from different sportsbooks to find guaranteed profits on two-way and three-way markets with optimal stake distribution.
Calculate lay stakes, liability, and matched betting scenarios for betting exchanges. Find optimal stakes for free bet conversion and understand exchange commission impact.
Interactive proof that past results never affect future outcomes. Test coin flips and roulette spins to see that after any streak, probabilities remain unchanged.
Calculate how much poker rake costs you per session and year. Find your break-even win rate after rake and compare rake structures across different stakes.
Measure your sports betting edge by comparing your odds to the closing line. Track CLV across multiple bets to determine if you have a genuine mathematical advantage.
Calculate full cover bets including Trixie, Patent, Yankee, Lucky 15, Lucky 31, Lucky 63, and more. See returns for every combination and understand system bet mathematics.
Convert between moneyline odds and point spreads instantly. Calculate implied spreads from betting lines and understand the mathematical relationship between betting formats.
Calculate fair odds and implied probabilities for Double Chance (1X, X2, 12) and Draw No Bet markets. Enter 1X2 odds to see safer betting options with exact win probabilities.
Calculate outcomes for Asian Handicap soccer bets including complex quarter-goal lines. See how your stake is split, visualize outcomes at different scorelines, and understand AH betting mathematics.
Build all possible parlay combinations from your selections. Calculate total stake, potential payouts, and analyze profit scenarios when some legs win and others lose.
Evaluate parlay insurance promotions and one-leg insurance offers. Calculate the true value of bet credits, the probability of triggering insurance, and whether it improves your expected value.
Calculate your probability of reaching a specific profit goal before going broke. Based on gambler's ruin mathematics, see realistic odds for doubling up or hitting any profit target.
Track gambling sessions in real-time with customizable time and loss limits. Get visual and audio alerts when approaching limits, log activity, and maintain awareness of your gambling behavior.
Calculate goal and score probabilities using the Poisson distribution for sports betting. Predict over/under totals, correct scores, and match outcomes based on expected goals.
Calculate teaser bet payouts, adjusted spreads, and win probability for NFL and NBA betting. Compare teaser value vs standard parlays and identify Wong teaser opportunities.
Calculate how much you need to win to recover from gambling losses. Understand the mathematical asymmetry of loss recovery and why chasing losses is dangerous.
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Understand volatility, hit frequency, and how RTP works in slot games.
MathematicsThe mathematical proof behind why no betting system can overcome the house edge.
StrategyLearn the mathematically optimal way to play every blackjack hand.
BlackjackDisclaimer: These calculators are for educational purposes only and do not constitute gambling advice. All casino games have a mathematical house edge. Never gamble with money you cannot afford to lose. If gambling is affecting your life negatively, please seek help from BeGambleAware or contact the National Council on Problem Gambling. For more resources, visit our responsible gambling page.