Game Theory Analysis
ROULETTE
Roulette
House Edge 2.70% · Rakeback 50% (Only at Duel)
Unlike Blackjack or Poker, which reward skill and strategy, Roulette is pure chance, the wheel spins, the ball drops, and no decision you make changes the outcome. That simplicity is exactly its appeal. There's a timeless, almost hypnotic thrill in watching the ball bounce between numbers, and the variety of betting options keeps every spin fresh.
Most casinos run European Roulette at a fixed 2.7% house edge, while American Roulette with its extra double-zero pocket pushes that to 5.26%. Unlike Blackjack, where skill can dramatically shift the odds in your favor, in Roulette the house edge is constant and unavoidable. What you can control is how you bet: low-risk even-money bets like Red/Black and Odd/Even, or high-risk long shots like a straight-up single number paying 35 to 1.
Roulette Odds Explorer
Click any bet to see EV, payout, standard deviation, and win probability.
Where to Play Roulette
Best current value by provider.
THE ROULETTE TABLE
A roulette table is split into two zones: the number grid and the outside bets.
The number grid runs from 1 to 36, arranged in three columns and twelve rows. Each number sits in either red or black. At the top of the grid, alone in green, sits the zero — the house's quiet advantage on every spin.
Surrounding the grid is where the broader bets live. Long rectangular boxes let you back entire categories at once: red or black, odd or even, the low half of numbers (1–18) or the high half (19–36). Below the grid, three boxes cover the dozens — 1 to 12, 13 to 24, 25 to 36. Along the side, three more cover the columns.
What you can bet on:
- A single number — place your chip directly on any number, 0 through 36. Pays 35 to 1 if it hits.
- A color — red or black. Simple, almost like a coin flip. Pays 1 to 1.
- Parity — odd or even. Same odds, same payout. Zero belongs to neither.
- A dozen — back a third of the board at once. Pays 2 to 1.
- A column — same coverage as a dozen, different numbers. Also pays 2 to 1.
- Split, street, corner — you can also straddle the lines between numbers to cover two, three, or four numbers with one chip.
The dealer spins the wheel one way, releases the ball the other, and everything resolves in seconds. One number wins. Every bet on that number or its category pays out. Everything else is swept from the table.
That's roulette. The rules take two minutes to learn. The strategy debates have lasted centuries.
CORE MODEL
For any roulette bet:
WHEEL TYPES
| Wheel | Pockets | House Edge (most standard bets) | RTP |
|---|---|---|---|
| European (single-zero) | 37 (0-36) | 1/37 = 2.7027% | 97.2973% |
| American (double-zero) | 38 (0, 00, 1-36) | 2/38 = 5.2632% | 94.7368% |
COLOR BET EXAMPLE
Payout: 1:1. On a single-zero wheel:
On a double-zero wheel:
WHY BET TYPE DOES NOT FIX EV
Changing from color to dozen/column/straight-up changes variance, not the standard house edge.
| Bet Type | Typical Payout | Single-Zero EV | Single-Zero House Edge | Single-Zero Std (per spin) |
|---|---|---|---|---|
| Color / Odd-Even / High-Low | 1:1 | -1/37 | 2.7027% | ~0.9996 |
| Dozen / Column | 2:1 | -1/37 | 2.7027% | ~1.4044 |
| Straight-up | 35:1 | -1/37 | 2.7027% | ~5.8378 |
Note: American roulette has one common exception, the five-number basket bet (0-00-1-2-3), which has a higher edge than other bets.
RAKEBACK ADJUSTMENT
If rakeback returns fraction r of house edge:
With 50% rakeback on qualifying Duel roulette play:
VOLATILITY / STD
Use win probability and net outcomes:
Single-zero examples:
Bet type can change risk dramatically even when house edge is the same.
TEST STRATEGIES
You can test strategies here in the strategy tool.
WARNING
Strategies are methods of shaping your risk and payout profile, not ways to beat the house.
They can be used to:
- Smooth variance and generate more frequent, smaller wins.
- Increase variance to chase larger, less frequent payouts.
This means each wager has a negative expected value, or neutral when playing zero-edge, and changing bet sizes or betting patterns won't change that.
MARTINGALE STRATEGY
Increase bet size after losses (typically doubling) to recover all previous losses plus a fixed profit. This works extremely well until it doesn't and all of your bankroll is gone.
Bet size sequence: b, 2b, 4b, 8b, ...
Stop when a win occurs, then reset to base bet.
Martingale — Distribution Effect
- Very high win frequency.
- Many small profits.
- Rare but extreme losses (one big loss can drain your bankroll).
PAROLI (INVERSE MARTINGALE)
Bet sequence after wins: b, 2b, 4b, ...
Reset to base bet after a loss.
Paroli — Distribution Effect
- Lower win frequency.
- Many small losses.
- Occasional large wins.
MY STRATEGY
We all know casino odds are against you, but that does not mean you cannot win in the short run. The goal should be to maximize the likelihood of finishing ahead during your session.
For roulette, I recommend aggressive high-volatility bets, such as betting a single number instead of a color.
We can see the simulations here: Show simulation Duel Color vs Duel Specific Number, both with 50% rakeback, 1,000 rounds, and 100 simulations.
You can see how the color distribution concentrates in the middle, while straight numbers allow higher wins and bigger upside tails. If you are willing to risk bigger losses, it's the only way to win big and not let variance slowly eat you up
First Casino
Live Economics
House edge: 2.703%
House Edge after Rakeback: 1.351%
STD: 1.00
Max Possible Win: 1.00x
Second Casino
Live Economics
House edge: 2.703%
House Edge after Rakeback: 2.703%
STD: 1.00
Max Possible Win: 1.00x
Shared Session