The Labouchere system is a roulette cancellation system where you write a line of numbers, bet the sum of the first and last numbers, cross them off after a win, and add the lost bet to the end after a loss. It looks structured, but it cannot beat roulette because it only reorganizes bet sizes.
Quick Facts
- Labouchere is also called the cancellation system.
- It is usually used on even-money bets.
- A win crosses off numbers from the betting line.
- A loss adds the lost bet to the end of the line.
- The line can grow longer and more dangerous during bad runs.
- It requires careful tracking at the table.
- It does not change roulette probability, payout, or house edge.
Plain Talk
Labouchere is popular with players who like systems that feel planned. Instead of simply doubling or adding one unit, you create a target profit by writing a sequence of numbers. The first and last numbers determine the next bet.
Example line:
1 - 2 - 3 - 4
The first number is 1. The last number is 4. Your next bet is 5 units. If you win, you cross off 1 and 4. If you lose, you add 5 to the end of the line.
The system feels clever because every bet is connected to a written plan. But the roulette odds remain the same. On European roulette, an even-money bet wins 18 out of 37 pockets. On American roulette, it wins 18 out of 38. Sources such as the Wizard of Odds roulette basics, the Nevada roulette rules of play, and the Massachusetts roulette rules describe the game structure. Labouchere does not alter that structure.
It adds paperwork to a negative game.
How It Works
A basic Labouchere line might be:
| Starting line | Target profit in units |
|---|---|
| 1 - 2 - 3 - 4 | 10 units |
The bet is the first plus last number.
| Spin | Line before bet | Bet | Result | Line after result |
|---|---|---|---|---|
| 1 | 1-2-3-4 | 5 | Loss | 1-2-3-4-5 |
| 2 | 1-2-3-4-5 | 6 | Win | 2-3-4 |
| 3 | 2-3-4 | 6 | Loss | 2-3-4-6 |
| 4 | 2-3-4-6 | 8 | Win | 3-4 |
| 5 | 3-4 | 7 | Win | Completed |
This example ends well. That is why Labouchere seduces players. It creates a visible path to completion.
Now change the order of results. A string of losses can make the line grow fast:
| Spin | Line | Bet | Result |
|---|---|---|---|
| 1 | 1-2-3-4 | 5 | Loss |
| 2 | 1-2-3-4-5 | 6 | Loss |
| 3 | 1-2-3-4-5-6 | 7 | Loss |
| 4 | 1-2-3-4-5-6-7 | 8 | Loss |
| 5 | 1-2-3-4-5-6-7-8 | 9 | Loss |
The line is longer, the bets are larger, and the player is still trying to win the original target. The system becomes a bookkeeping trap.
Roulette Table Example
A player uses $10 units and writes this line:
2 - 3 - 5
The target profit is 10 units, or $100. The first bet is 7 units, or $70.
| Spin | Bet | Result | Session result | New line |
|---|---|---|---|---|
| 1 | $70 | Loss | -$70 | 2-3-5-7 |
| 2 | $90 | Loss | -$160 | 2-3-5-7-9 |
| 3 | $110 | Win | -$50 | 3-5-7 |
| 4 | $100 | Loss | -$150 | 3-5-7-10 |
| 5 | $130 | Win | -$20 | 5-7 |
The player is close to recovery, but the bets are already large compared with the original idea. A few more losses can push the line beyond comfort or table limits.
From the Casino Side:
Labouchere players can slow themselves down because they are writing, calculating, and arguing with their own line. Dealers do not manage the player’s system. The player is responsible for placing legal bets before “no more bets.”
The casino side cares about clean layout procedure. If the player delays the game, talks through bets after the ball is spinning, or tries to adjust late, the dealer must control the pace. Surveillance and the floor care about late betting, past posting, and disputed placement, not whether the line is mathematically elegant.
A system that makes the player bet bigger while distracted is not dangerous to the casino. It is dangerous to the player.
Common Mistakes
- Choosing a starting line that creates too large a first bet.
- Forgetting to add losing bets correctly.
- Crossing off the wrong numbers after a win.
- Believing the line creates a “planned profit.”
- Continuing after the line grows beyond the original bankroll plan.
- Using Labouchere on American roulette without accounting for the higher edge.
- Thinking complexity is the same as advantage.
Hard Truth
Labouchere does not outsmart roulette. It makes the player do paperwork while the house edge keeps doing its job.
FAQ
What is the Labouchere system?
It is a cancellation betting system where a written line of numbers determines each bet.
How do you calculate the Labouchere bet?
Add the first and last numbers in the line. That sum is the next bet in units.
What happens after a win?
Cross off the first and last numbers used to make the bet.
What happens after a loss?
Add the lost bet amount to the end of the line.
Is Labouchere better than Martingale?
It may grow differently and feel more controlled, but it still cannot beat roulette.
Is Labouchere hard to use at a live table?
Yes, compared with simple systems. It requires tracking and can become messy under pressure.
Can Labouchere produce winning sessions?
Yes, any roulette system can have winning sessions. That does not make the system profitable long term.
Deeper Insight
Labouchere’s danger is not only mathematical. It is procedural and psychological. The player has a written plan, so quitting feels like abandoning the mission. The line becomes an object to complete.
That is a different trap from Martingale. Martingale says, “One more win fixes it.” Labouchere says, “Finish the line.” Both messages push the player to keep wagering because the session feels unfinished.
The system also hides total action. A player may focus on the line shrinking or growing while forgetting how much has passed through the layout. The roulette expected value does not care about the line. It cares about total money wagered into a negative game.
If a player insists on using Labouchere for entertainment, the important controls are strict: small unit, European or French wheel when available, hard stop, no restarting after a completed line, and no increasing the base unit to recover faster.
Formula / Calculation
Labouchere next bet:
$$Next\ Bet = First\ Number + Last\ Number$$
After a loss:
$$New\ Line = Old\ Line + Lost\ Bet$$
Expected loss still follows:
$$Expected\ Loss = Total\ Amount\ Wagered \times House\ Edge$$
Example: $2,000 total action on American roulette:
$$Expected\ Loss = 2000 \times 0.0526 = 105.20$$
Formula Explanation in Plain English
The line tells you the size of the next bet. The wheel tells you whether the bet wins. The casino edge applies to all the money wagered, whether the bet came from a line, a feeling, or a system chart.
Related Reading
Read the roulette guide, roulette odds, and roulette house edge before using any cancellation system. Compare Labouchere with Martingale System, Fibonacci System, and D’Alembert System. Use the expected loss calculator, house edge calculator, and variance simulator to test the real cost. For the broader warning, read why roulette systems fail.