Picture the sixth losing spin. You started at C$5 on red, lost, bet C$10, lost, bet C$20, then C$40, C$80, and now C$160 is sitting on the felt because of a run that began with a five-dollar chip. If red comes in, you finish the cycle exactly C$5 ahead. Players like the Martingale system for that steady C$5; the arithmetic below shows why it breaks.
The rule fits on a napkin. Pick an even-money bet (red or black, odd or even, low or high). Double the stake after every loss. After a win, go back to the starting stake. Because each doubled bet is larger than everything lost so far in the run, the first win always leaves you one starting stake in profit.
As with every system on our roulette strategy hub, the Martingale does nothing to the 2.70% the single-zero wheel takes from each bet. What it does is rearrange results: lots of small wins, and now and then one very large loss.
How the doubling works
Take a cycle that ends on the fourth spin. You lose C$5, then C$10, then C$20, for C$35 down. The fourth bet is C$40, and it wins, paying C$40. Net result for the cycle: plus C$5. Start again at C$5.
Run the same pattern with any number of losses before the win and the result is always the starting unit. That regularity is what makes the system feel safe. Many short sessions really do end slightly ahead, and players who stop after an hour often walk away believing the method works. Averaged over every session, the loss is still 2.70% of the money put through, and each extra hour at the table raises the chance of the losing run that erases those small wins.
The trouble sits in two places the napkin version leaves out: the stakes needed to keep going, and the rules of the table.
A Martingale run in Canadian dollars
Here is the same C$5 cycle extended to ten losing spins. The last column shows what a win at that step would leave you with.
Swipe the table
| Bet number | Stake | Lost so far, if this bet loses | Result if this bet wins |
|---|---|---|---|
| 1 | C$5 | C$5 | +C$5 |
| 2 | C$10 | C$15 | +C$5 |
| 3 | C$20 | C$35 | +C$5 |
| 4 | C$40 | C$75 | +C$5 |
| 5 | C$80 | C$155 | +C$5 |
| 6 | C$160 | C$315 | +C$5 |
| 7 | C$320 | C$635 | +C$5 |
| 8 | C$640 | C$1,275 | +C$5 |
| 9 | C$1,280 | C$2,555 | +C$5 |
| 10 | C$2,560 | C$5,115 | +C$5 |
The total lost after n losses is C$5 × (2n minus 1). After ten losses you would be risking C$5,115 in total for the same five dollars you were chasing on the first bet. Most people stop well before that point, either because the budget runs out or because the casino will not take the bet.
The table-limit wall
Every roulette table has a maximum stake. Suppose yours is C$500 and you start at C$5. Bets one to seven (C$5 to C$320) are all allowed. The eighth bet would be C$640, which is over the limit. So seven losses in a row end the progression, with C$635 gone.
Whatever the casino’s reasons for the cap, its effect on a progression is always the same. The ratio of maximum to minimum is what counts. A C$5 to C$500 table gives a ratio of 100, which allows seven doublings. A C$1 to C$500 table allows nine bets (C$1 up to C$256), because the tenth would be C$512. A higher ceiling only pushes the wall further out; it never removes it. Live tables show their limits on screen before you bet, and our live roulette guide covers the live tables open to Canadian players.
Even with no limit at all, you would hit your own. Following a C$5 Martingale through ten losses needs C$5,115 behind it.
How likely a losing streak really is
On a European wheel an even-money bet loses on 19 of the 37 pockets: the 18 numbers of the other colour plus zero. So the probability of losing one bet is 19/37, about 51.35%. Because spins are independent, the chance of n losses in a row is (19/37)n.
Swipe the table
| Losses in a row | Probability | About 1 in |
|---|---|---|
| 3 | 13.54% | 7.4 |
| 5 | 3.57% | 28 |
| 6 | 1.83% | 54.5 |
| 7 | 0.94% | 106 |
| 8 | 0.48% | 207 |
| 9 | 0.25% | 403 |
| 10 | 0.13% | 784 |
For the C$5 to C$500 table, the line that matters is seven: each new cycle has a 0.94% chance of ending at the wall. Put the other way, 99.06% of cycles end with a C$5 win. Those are excellent odds for a C$5 win and terrible odds once you see what the other 0.94% costs.
Streaks over a whole session
One cycle is not one session. A cycle lasts only until the first win, often a single spin, so an evening contains a great many of them. What you really want to know is the chance of meeting at least one seven-loss run over a stretch of spins. The answer comes from following the length of the current losing run spin by spin:
Swipe the table
| Even-money spins played | Chance of at least one 7-loss run |
|---|---|
| 50 | 19.2% |
| 100 | 36.3% |
| 200 | 60.4% |
| 500 | 90.5% |
| 1,000 | 99.1% |
A brisk live table or an automated wheel gets through 100 spins in an hour or two. So a regular Martingale player at a C$5 to C$500 table should expect to hit the wall within the first few sessions. Those percentages are not bad luck. They are simply what 19/37 does over a few hundred spins.
Expected value per spin does not move
Now the part that settles it. Every individual bet in the cycle has an expected value of minus 1/37 of its stake. The doubling changes the stakes, but each stake carries the same minus 2.70%.
You can check that against the cycle as a whole. The probability of reaching bet k is the probability of losing all the bets before it, so the average amount staked per cycle is C$5 + C$10 × (19/37) + C$20 × (19/37)2 and so on up to C$320 × (19/37)6. That adds up to C$37.97. Multiply by 1/37 and the expected loss per cycle is C$1.03.
Work it from the outcomes and you get the same figure. A cycle wins C$5 with probability 99.06% and loses C$635 with probability 0.94%: C$5 × 0.99058 minus C$635 × 0.00942 = C$4.95 minus C$5.98 = minus C$1.03. Over 1,000 cycles you would expect about 991 wins worth roughly C$4,953 and about 9 busts worth roughly C$5,979. The system spreads the house edge into a few large chunks. It does not shrink it.
A roulette odds calculator will show the same minus 2.70% for any single stake you type in, from C$5 to C$320.
Why it keeps its reputation
If the maths is this clear, why does the Martingale keep turning up in forums and videos as a method that works? Mostly because of who gets to tell the story. A player who tries it for an evening has nearly a two-in-three chance of avoiding the seven-loss run in their first 100 spins, and in that case walks away roughly C$240 ahead, since about 48 or 49 of those spins are wins that each close a cycle. The other third or so meet the run and lose C$635 on one cycle, so the average evening still costs 2.70% of the total staked, and the chance of having dodged the run shrinks with every evening played. The lucky player tells friends. The player who hit the wall on night two tends to file it under bad luck and say less.
The system also flatters short memories. Its wins are frequent, small and identical, so they blur together; its losses are rare and large, so they feel like freak events instead of part of the plan. Over a few months of regular play, though, the freak event is close to certain. At 100 spins a session, a C$5 player at a C$500 table has better than even odds of meeting the wall within two sessions.
American wheels make it worse
On a double-zero wheel an even-money bet loses on 20 of 38 pockets, so the losing probability per spin rises to 52.63%. Seven losses in a row become (20/38)7, about 1.12%, and the chance of meeting such a run within 100 spins rises from 36% to about 41%. The expected loss per spin nearly doubles to 5.26% of the stake. If you are going to try the Martingale at all, a single-zero table is the only sensible place, and a French table with La Partage halves the cost of the even-money bets again.
The reverse Martingale, briefly
Some players flip the rule around: double after a win, reset after a loss, and bank the profit after three or four wins in a row. This is usually called the Paroli. It turns the Martingale’s shape inside out, with frequent small losses and occasional runs that pay well, and a losing spin never costs more than one starting stake of your own money. It is a far gentler way to play. The price per spin is still 2.70% on a single-zero wheel, because it is the same bets in a different order.
If you try it anyway
You might enjoy the rhythm of a progression, and that is a fair reason to play it as long as you know what it is. A few ground rules keep it from turning into something worse:
- Decide the full amount you could lose in one bust (C$635 in the C$5 example) and only play if losing all of it would be fine.
- Set a time limit and a money limit before the first spin, and stop at whichever comes first.
- Never raise the starting unit to make up for an earlier bust. That is the same chase in a larger size.
Our responsible gambling page explains the deposit and time limit tools Canadian sites offer. And if you would like to watch a few busts happen without spending a cent, the free practice wheel uses play chips only. Ten minutes of doubling there tends to be more convincing than any table of probabilities, including the ones above.