Roulette is one of the oldest casino games, and the wheel you choose matters more than any betting strategy.
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Walk-through
How to Use This Calculator
3 steps▸
1
Choose your wheel and bet
Select your roulette type (American, European, or French) and the bet type you want to analyze. American wheels have an extra 00 slot, giving the house a higher edge than European or French.
2
Enter your bet amount and spin count
Type your bet amount per spin and the number of spins you plan to play. The calculator instantly shows your win probability, house edge, RTP, and expected loss for that session.
3
Compare bets and run a simulation
Switch to the Bet Type Comparison tab to see every bet side-by-side. Use the Simulation tab to run a random Monte Carlo session and see how actual results compare to the mathematical expectation.
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Reference
Formula & Methodology
3 formulas▸
Win Probability
P(win) = winning_slots / total_slots
Divide the number of slots that pay on your bet by the total wheel slots: 38 for American, 37 for European and French. Red/Black covers 18 of 38 slots on an American wheel, so P(win) = 18/38 = 47.37%.
House Edge
house_edge = 1 - P(win) * (payout + 1)
Payouts are set as if there were only 36 slots, so the extra zero slots create the edge. For American roulette this is always 2/38 = 5.26% for standard bets. French La Partage on even-money bets is 1/74 = 1.35% because half the stake is returned when zero hits.
Expected Loss
expected_loss = house_edge * bet_amount * spins
Multiply the house edge by your bet size and the number of spins to get the long-run expected loss for that session. This is the statistical average โ short sessions will vary widely due to variance.
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Glossary
Key Terms Explained
6 terms▸
House EdgeThe casino's mathematical advantage expressed as a percentage of each bet. American roulette has a 5.26% edge on most bets; European is 2.70%; French La Partage on even-money bets is 1.35%. A lower house edge means slower expected loss over time.
RTP (Return to Player)The percentage of each wagered dollar the player theoretically receives back over the long run. RTP = 1 - house edge. European roulette has 97.30% RTP; American has 94.74%. Higher RTP is better for the player.
La PartageA French roulette rule that returns half your stake when the ball lands on zero on even-money bets (Red/Black, Odd/Even, High/Low). This halves the house edge from 2.70% to 1.35%, making French roulette the best version for even-money bettors.
Expected Value (EV)The average outcome per bet over many trials. For roulette, EV is always negative for the player because payouts are based on 36 slots while the wheel has 37 or 38. EV per spin on a $10 American red/black bet = -$10 ร 5.26% = -$0.53.
Straight Up BetA bet on a single number, paying 35:1. It has the lowest win probability (1/38 = 2.63% on American) but the same house edge as other bets โ the high payout is offset by the low win frequency. The casino pays as if there are only 36 numbers, keeping the edge regardless of bet type.
VarianceThe spread of actual results around the expected value. High-payout bets like Straight Up (35:1) have much higher variance than even-money bets like Red/Black. Over the same number of spins you can win or lose much more on a straight-up bet, though the long-run house edge is identical.
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Scenarios
Real-World Examples
2 worked examples▸
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Casual player โ American Red/Black
American roulette, Red/Black, $10/spin, 100 spins
Roulette Type American (38 slots)Bet Type Red / BlackBet Amount $10Spins 100
Win probability is 47.37%, payout 1:1, house edge 5.26%, RTP 94.74%. Expected loss over 100 spins is $52.63. Actual results will vary โ you could easily be up or down $200 after 100 spins due to variance.
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Informed bettor โ European Straight Up
European roulette, Straight Up, $5/spin, 50 spins
Roulette Type European (37 slots)Bet Type Straight UpBet Amount $5Spins 50
Win probability is 2.70%, payout 35:1, house edge 2.70%, RTP 97.30%. Expected loss is only $6.76 over 50 spins โ less than American due to lower house edge. But variance is extreme: a single win adds $175 to your bankroll.
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Deep Dive
American vs European vs French Roulette: Which Has the Best Odds?
Roulette is one of the oldest casino games, and the wheel you choose matters more than any betting strategy. The three main variants โ American, European, and French โ look nearly identical but have meaningfully different house edges due to one or two extra green slots. Understanding the math behind each version is the single most important decision a roulette player can make.
Why the wheel type matters more than the bet type
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On a standard American roulette wheel, the house edge is 5.26% for every bet except the Five-Number bet (which is 7.89% and should always be avoided). Whether you bet on Red/Black at 1:1 or Straight Up at 35:1, you face the same 5.26% house edge โ the payouts are calibrated to 36 numbers while the wheel has 38. The two extra green slots (0 and 00) are the sole source of the casino's edge.
European roulette removes the double-zero, leaving 37 slots and cutting the house edge to 2.70% on all bets. Over a 100-spin session at $10/spin the expected loss drops from $52.63 (American) to $27.03 (European) โ nearly half. If you have a choice of wheel, always play European over American. The math is unambiguous: same game, half the long-run cost.
How La Partage makes French roulette even better for even-money bets
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French roulette adds one more player-friendly rule: La Partage ("the share"). When the ball lands on zero, even-money bets (Red/Black, Odd/Even, and High/Low) only lose half their stake instead of the full amount. This effectively gives back half your expected loss on those bets, cutting the house edge from 2.70% to 1.35% โ the best odds available on any standard roulette bet.
The 1.35% edge on French even-money bets is comparable to blackjack with basic strategy and significantly better than most slot machines. If you find a French roulette table and play only even-money bets, you are playing one of the best-odds games in the casino. Note that La Partage only applies to even-money bets; other bet types on a French wheel still carry the full 2.70% European house edge.
Why no betting system can overcome the house edge
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The Martingale, Fibonacci, D'Alembert, and dozens of other betting systems promise to beat roulette by adjusting bet sizes after wins and losses. None of them work in the long run, and the math is straightforward: every spin is an independent event with the same house edge regardless of what happened before. The expected loss per dollar bet is fixed by the wheel's physics. Doubling after a loss (Martingale) doesn't change the edge โ it just trades many small losses for occasional large ones while carrying the same negative expected value.
In the short run, any session can produce a profit due to variance โ the natural spread of outcomes around the expected value. The simulation tab demonstrates this: run the same setup multiple times and you will see wildly different outcomes. But extend the session length and the results converge toward the mathematical expectation. The house edge is not a prediction about any single session; it is a precise statement about what happens over thousands of spins. The only reliable way to reduce your expected loss is to play European or French roulette and make fewer spins.
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Questions
Frequently Asked Questions
5 questions▸
What is the house edge in roulette?+
American roulette has a 5.26% house edge (2/38) on standard bets. European roulette is 2.70% (1/37). French roulette with La Partage is 1.35% (1/74) on even-money bets and 2.70% on all others. The Five-Number bet on American roulette (0, 00, 1, 2, 3) is a special case at 7.89% and should be avoided.
Is European roulette better than American?+
Yes, significantly. American roulette has a 5.26% house edge due to the extra 00 slot; European has 2.70%. Over 100 spins at $10/spin, you expect to lose $52.63 on American vs $27.03 on European. If you have a choice, always play European. French roulette with La Partage is even better โ 1.35% on even-money bets.
Which roulette bet has the best odds?+
All standard bets on a given wheel share the same house edge โ Red/Black, Straight Up, Dozen, and Corner all cost the same percentage long-run on an American wheel (5.26%) and on a European wheel (2.70%). The only exception is French roulette's La Partage rule, which cuts the edge to 1.35% exclusively on even-money bets (Red/Black, Odd/Even, High/Low).
What is La Partage?+
La Partage is a French roulette rule that refunds half your stake on even-money bets when the ball lands on zero. Instead of losing your full bet, you only lose half, cutting the house edge from 2.70% to 1.35%. It applies only to Red/Black, Odd/Even, and 1-18/19-36 bets โ not to Dozen, Column, Street, or Straight Up bets.
Can you win at roulette long term?+
No betting system can overcome the built-in house edge. Every spin is an independent event, and the negative expected value is fixed by the wheel's design. In the short run, results vary widely due to variance โ you can win in a single session. But over hundreds of spins, results converge toward the expected loss. Playing European or French roulette, making fewer total bets, and quitting while ahead are the practical ways to limit losses.
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