The math of roulette
Roulette strategy and the house edge
Compare bets by probability, payout and expected loss. A betting pattern can change the size and timing of swings, but it does not remove the standard house edge.

What “best odds” actually means
A color bet is more likely to win one spin than a straight-up bet, but pays less. On the same standard European wheel both have the same 2.70% house edge. Highest win probability and lowest long-run cost are different comparisons.
Betting systems do not change the wheel
Martingale, fixed stakes and other progressions change the amount exposed after each result. They do not change the probability of the next pocket. No staking system guarantees a profit on a fair standard wheel.
Compare the stated rules
An extra zero worsens standard probabilities at the same payouts. La Partage changes eligible even-money settlement. Compare the actual pocket count, payout and zero rule rather than a casino location or a “winning strategy” claim.
Hot numbers and predictors
On a fair independent wheel, every pocket remains equally likely on the next spin. A recent pattern or a number predictor does not establish a real physical bias. This site supplies calculations, not forecasts.
Time, stakes and exposure
Expected loss scales with total amount wagered under the stated model. Reducing a stake or the number of bets reduces exposure, not the house-edge percentage. Stop rather than increasing stakes to recover a loss.
Best odds in roulette compared
| Bet | Chance of winning | Payout | House edge |
|---|---|---|---|
| Straight-up | 2.70% | 35:1 | 2.70% |
| Split | 5.41% | 17:1 | 2.70% |
| Street | 8.11% | 11:1 | 2.70% |
| Corner | 10.81% | 8:1 | 2.70% |
| Six-line | 16.22% | 5:1 | 2.70% |
| Dozen / column | 32.43% | 2:1 | 2.70% |
| Red / black | 48.65% | 1:1 | 2.70% |
| Odd / even | 48.65% | 1:1 | 2.70% |
| Low / high | 48.65% | 1:1 | 2.70% |
The house edge column does not change. Picking a bet chooses how often you win and how much each win pays, not how much you lose on average.
Common roulette betting systems
- Martingale
- Double the stake after each loss. Explained step by step in Martingale roulette explained.
- Reverse Martingale (Paroli)
- Double the stake after each win and reset after a loss.
- D’Alembert
- Raise the stake by one unit after a loss and lower it by one unit after a win.
- Fibonacci
- Follow the sequence 1, 1, 2, 3, 5, 8… after losses and step back after a win.
- Labouchère
- Write a list of numbers, stake the sum of the first and last, and cross numbers off after wins.
- Flat betting
- Keep the same stake on every spin.
Each system only changes stake sizes. Every individual bet still carries the wheel's house edge, so none of them changes the expected loss per dollar wagered.
Expected loss over a session
| Spins | Total wagered | European | American |
|---|---|---|---|
| 50 | $500 | $13.51 | $26.32 |
| 100 | $1,000 | $27.03 | $52.63 |
| 200 | $2,000 | $54.05 | $105.26 |
Smaller stakes and fewer spins reduce total exposure. The roulette odds calculator shows the expected net for any stake.