Roulette system simulator
With Martingale, starting from 100 on red at a European wheel, you reach 150 in 61% of sessions. That looks like a winning system, but the rest lose their whole 100, and on average a session loses 8.92: 2.7% of the 330.06 it bets. Every system on this page loses the same 2.7%.
Try a system
Amounts must be whole multiples of the base bet, the starting money 5 to 2000 base bets, the target above it and at most ten times it, and the spins 10 to 5000.
The simulation could not run in this browser. The results below are those of the default run.
Reached 150: 61% (exactly 61%).
Ran out of money for the next bet: 39% (exactly 39%). Stopped at the spin limit: 0%.
Average result of a session: -8.92, over 92 spins on average. A session bets 330.06 on average, and the wheel keeps 2.7% of it.
The largest single bet it needed: 64.
For Labouchère, and for very long sessions, the shares come from the simulation alone.
This run: trainyourodds. Link to this run: the same link always gives the same sessions.
The five systems side by side
European wheel, red, starting money 100, target 150, base bet 1, at most 1000 spins and a table maximum of 100.
| System | Reaches the target | Runs out | Average result | Bets on average |
|---|---|---|---|---|
| Flat | 2.3% | 1.7% | -26.75 | 989.73 |
| Martingale | 61% | 39% | -8.92 | 330.06 |
| Fibonacci | 56% | 44% | -16.12 | 596.41 |
| d'Alembert | 55% | 45% | -17.27 | 639.15 |
| Labouchère | 60%* | 40%* | -9.97 | – |
Exact figures, except those marked *, which come from 10,000 sessions.
Martingale reaches the target most often because it wins small many times and loses big rarely. Flat betting seldom reaches the target within the spins and bets the most, so it loses the most. In every system, the average result divided by what it bets is the same: the wheel keeps 2.7% of every bet on a European wheel and 5.3% on an American one.
How it is worked out
Red holds 18 of the 37 pockets of a European wheel and 18 of the 38 of an American one, and pays even money. Each session plays spin by spin with the bet the system sets, cut to the table maximum and to the money left, and ends at the target, when the money left cannot cover the next bet, or at the spin limit.
The exact figures do not come from the simulation: they follow every possible bankroll spin by spin, with the exact chance of getting there. The simulation lands close to them, and the same seed always gives the same sessions.
What this leaves out
- Other bets: only red is played here. On a European wheel the wheel keeps the same 2.7% of every bet.
- The "la partage" rule of some French tables, which returns half the stake when zero comes up and halves the share kept on even-money bets.