Martingale roulette strategy: why doubling up fails at the table limit
The Martingale is the roulette system almost everyone invents on their own: bet on red, and every time you lose, double the bet. The first win recovers every loss plus one unit of profit. It feels airtight, and over a short evening it usually works. Then a long losing run arrives, the table maximum or your bankroll stops the doubling, and one bad sequence wipes out weeks of small wins.
This guide shows how the Martingale works at roulette, how often it fails at real table limits, what it costs on average and why no betting progression changes the house edge. All figures are calculated for a single-zero wheel unless stated. There is no system to sell here, just the maths.
How the Martingale works at roulette
You pick an even-money bet: red or black, odd or even, 1 to 18 or 19 to 36. Each pays 1 to 1. You start with a base bet, say $1, and follow two rules:
- After a loss, double the bet.
- After a win, go back to the base bet.
A series ends at the first win. If the first spin wins, you are up $1. If you lose $1 and $2 and then win $4, you are still up $1: the $4 win covers the $3 you lost plus your original $1. Every finished series nets exactly one base unit.
The catch is how fast the bets grow. Here is the progression from $1:
| Spin | Bet | Total staked so far | Chance of losing every spin to this point |
|---|---|---|---|
| 1 | $1 | $1 | 51.4% |
| 2 | $2 | $3 | 26.4% |
| 3 | $4 | $7 | 13.5% |
| 5 | $16 | $31 | 3.6% |
| 7 | $64 | $127 | 0.94% |
| 10 | $512 | $1,023 | 0.13% |
| 12 | $2,048 | $4,095 | 0.034% |
| 14 | $8,192 | $16,383 | 0.0089% |
On a single-zero wheel, an even-money bet loses on 19 of the 37 pockets (the 18 numbers of the other colour plus the zero), so the chance of a loss on any spin is 19 in 37, about 51.4%. The last column multiplies that chance by itself once per spin.
The table limit is what breaks it
Every casino table has a maximum bet. In Quebec, the By-law respecting casino games requires the minimum and maximum wagers at each gaming table to be indicated and respected (section 9), and the rules posted near the table must state the wagers permitted and the payouts (section 11). At the Casino de Montréal, roulette is one of 12 live table games and limits vary by table; the electronic tables in La Zone have the casino's lowest minimums.
Take an online example. Evolution's Euro Roulette, a single-zero live game, lists bets from $1 to $10,000 at one Canadian operator. Starting at $1, you can double 13 times: $1, $2, $4 and so on up to $8,192. The next bet would be $16,384, which the table will not take. So you get 14 spins to find one win.
- Chance of losing all 14: (19/37)^14, about 1 in 11,279.
- What you lose when it happens: $16,383.
- What you win the other 11,278 times or so: $1 per series.
Over the long run, 11,278 series won at $1 each do not cover one $16,383 loss. The expected result is a loss of about 45 cents per series. That is exactly 2.70% of the average amount you bet per series, which is the house edge of a single-zero wheel. The system rearranges when you lose; it does not change how much.
A table with a narrower spread fails much sooner. As an example, on a table with a $5 minimum and $500 maximum, the progression is $5, $10, $20, $40, $80, $160, $320, and the next bet of $640 is over the limit. Seven straight losses happen about 1 time in 106, and they cost $635. Play 100 series at that table and the chance of hitting the wall at least once is about 61%.
How often long losing runs happen
People trust the Martingale because streaks of 10 reds in a row feel rare. Over a long session they are not. These are the chances of seeing at least one run of losses of a given length on an even-money bet, single-zero wheel:
| Losing run | In 100 spins | In 500 spins | In 1,000 spins |
|---|---|---|---|
| 7 or more | 36% | 90% | 99% |
| 10 or more | 5.6% | 26% | 46% |
| 14 or more | 0.38% | 2.1% | 4.2% |
A run of 7 straight losses, enough to max out a $5 to $500 table, is close to certain once you have played a few hundred spins.
The wheel has no memory either. After 6 reds in a row, black is no more likely on the next spin: the chance of losing that spin is still 19 in 37.
Double zero and la partage
The wheel you sit at changes how quickly the system fails, but not whether it does.
- Double-zero wheel. With 0 and 00, an even-money bet loses on 20 of 38 pockets. Fourteen straight losses become about 1 in 7,990 instead of 1 in 11,279, and the house edge rises to about 5.26%. Our online roulette guide gives the payout and real odds of every bet on both wheels.
- La partage. On French roulette with the la partage rule, an even-money bet that loses to zero returns half the stake. That halves the edge on even-money bets to about 1.35%. It also makes the Martingale messier, since a zero leaves you with half a bet, but the progression still hits the same table maximum.
If you are going to play roulette, a single-zero wheel with la partage is the cheaper game. No progression makes it a winning one.
Other doubling systems
Variations follow the same logic and hit the same wall.
- Grand Martingale. Double and add one unit after each loss. Bets grow faster, so you reach the maximum sooner.
- Reverse Martingale (Paroli). Double after a win, reset after a loss. You risk small amounts and chase streaks, but the expected loss is still the house edge times what you bet.
- D'Alembert and Fibonacci. Slower progressions that take longer to hit the limit. Each finished series wins less, and the long-run loss rate is unchanged.
Every one of these systems changes the shape of your results: many small wins and rare large losses, or the reverse. None of them changes the 2.70% on a single-zero wheel or the 5.26% on a double-zero wheel. Our Casino de Montréal guide explains house edge for the other games on the floor, and the live dealer guide covers the online roulette tables Loto-Québec streams.
If you play anyway
If you want to try the system for fun, decide the whole loss in advance. On a $5 to $500 table, that is $635 for one full failed series. Treat that figure as the cost of the evening, not a risk you will dodge. Stop when the series fails instead of starting over at a bigger base.
Set a deposit limit on any online account before you start. If you notice you are chasing losses, which is exactly what a doubling system asks you to do, our responsible gambling page explains breaks and self-exclusion. Jeu : aide et référence is free, confidential and open 24/7 at 1 800 461-0140.
Sources
- Légis Québec, By-law respecting casino games, S-13.1, r. 3.1, sections 9 and 11 (current to July 1, 2026)
- Evolution, Euro Roulette rules: RTP 97.30%, $1 to $10,000 (theScore Bet help centre)
- Loto-Québec, Casino de Montréal table games
- Probabilities, expected values and run lengths calculated from 18/37 and 19/37 (single zero) and 18/38 and 20/38 (double zero).
Key terms
- House edge
- The cut a game is built to keep for the casino on average, shown as a percentage of what you bet.
- Return to player (RTP)
- Return to player ("taux de retour"): the share of all bets a game is built to pay back over a huge number of rounds.
- Live dealer games
- Table games streamed live from a studio with a real dealer. Physical cards, wheels or dice decide what happens.
- Volatility
- How much a game's results swing around. High volatility: rare big wins. Low volatility: frequent small ones.
- Deposit limit
- A cap ("limite de dépôt") you pick for how much money can go into one casino account in a day, a week or a month.
- Self-exclusion
- A ban you put on yourself ("autoexclusion") to stop gambling at one site, or at every licensed site in a region, for a set time.