The Labouchère System: How the Cancellation Method Works and Its Risks
The Labouchère system, also called the cancellation or split Martingale, lets you choose a target profit up front and then chase it with a line of numbers. You stake the sum of the first and last numbers, cross them off after a win, and add your losing stake to the end of the line after a loss. Complete the line and you have won exactly the sum of your starting numbers.
It feels clever and controllable because you design the line yourself. But it is a negative progression in disguise: every loss lengthens the line and raises future stakes, so a bad run inflates the bets the same way Martingale does — just with more bookkeeping.
How the Labouchère system works
Write down a sequence of numbers whose sum is the profit you want — for example 1-2-3-4 to target 10 units. Each bet stakes the sum of the leftmost and rightmost numbers. Win, and you cross both off. Lose, and you append the amount you just staked to the right end of the line.
When every number is crossed off, the line is complete and your profit equals the original sum. If only one number remains, you stake just that number. A losing streak keeps adding numbers, so the line — and the stakes — grow.
- Write a line of numbers summing to your target profit.
- Stake the first number plus the last number.
- On a win, cross off both end numbers.
- On a loss, add the staked amount to the end of the line.
- Finish when every number is crossed off.
A worked example
Starting line 1-2-3-4 (target 10 units, $10 a unit). The stake is always the sum of the two ends. Watch the line grow on losses and shrink on wins.
| Bet # | Line | Stake (ends) | Result | Running P/L |
|---|---|---|---|---|
| 1 | 1 2 3 4 | $50 (1+4) | Loss | −$50 |
| 2 | 1 2 3 4 5 | $60 (1+5) | Loss | −$110 |
| 3 | 1 2 3 4 5 6 | $70 (1+6) | Win | −$40 |
| 4 | 2 3 4 5 | $70 (2+5) | Win | +$30 |
| 5 | 3 4 | $70 (3+4) | Win | +$100 |
The math and the risk
Completing the line always nets the sum of the starting numbers, which is why it feels guaranteed. The hidden cost is that each loss adds a number, so two losses can be undone only by two wins — and a streak of losses lengthens the line faster than scattered wins can shorten it. Stakes climb because the rightmost number keeps growing.
The result is the same shape of risk as Martingale: usually you finish the line for a tidy profit, but a long losing run balloons the stakes beyond your bankroll or the table limit, and the line is left unfinished with a large loss. You can soften it by starting with a longer line of small numbers, which slows the growth but also slows the profit.
Honest verdict
Labouchère’s flexibility is real — you choose the target and the shape of the line — but flexibility is not an edge. The expected value of the bets is unchanged, so the system still loses on average; it just packages the loss as a rare failure to complete the line rather than a steady bleed.
If you enjoy the structure, treat it as entertainment and keep the numbers tiny relative to your bankroll. For actual risk control, flat or percentage staking achieves more with far less paperwork.
Pros
- Lets you set a specific profit target up front.
- Flexible — you choose the length and size of the line.
- Does not require doubling, so early stakes rise more gently than Martingale.
Cons
- A losing run lengthens the line and inflates stakes toward a Martingale-style blow-up.
- More bookkeeping than any other common system.
- An unfinished line locks in a large loss.
- No effect on the negative expected value of the underlying bets.
Frequently asked questions
- How does the Labouchère betting system work?
- You write a line of numbers that sums to your target profit, then stake the first plus the last number on each bet. After a win you cross off both end numbers; after a loss you add the amount staked to the end of the line. When every number is crossed off, your profit equals the original sum.
- Is Labouchère safer than Martingale?
- Early stakes rise more gently because you are not doubling, but the risk profile is the same: a sustained losing run keeps lengthening the line and inflating stakes until they exceed your bankroll or the table limit, leaving an unfinished line and a large loss.
- Can you lose with the Labouchère system?
- Yes. Completing the line is profitable, but a long enough losing streak makes the required stakes balloon beyond what you can bet, so you never complete it. Because the system does not change the expected value of the bets, it loses money on average like every other progression.
Helpful calculators
Glossary terms
Other betting systems
Educational content for informational purposes only. Not betting or financial advice. Please gamble responsibly. 21+ where applicable.