Labouchère System: The Cancellation Roulette Strategy Explained
Write your target profit as a line of numbers, bet the two ends, cross them off when you win and add to the line when you lose. Flexible and methodical - and capable of growing fast.
- Type: cancellation / negative
- Risk: high
- Best bet: even-money
The Labouchère, or cancellation system, turns a target profit into a written number line. Your stake is the sum of the first and last numbers. Win, and you cross both off; lose, and you add the amount you lost to the end of the line. You stop when every number is cancelled, having booked your target. It is more flexible than Martingale and lets you shape the line - but each loss lengthens it, so a bad run makes bets climb steeply and can reach the table limit.
Quick facts
| System type | Cancellation (negative progression) |
|---|---|
| Best known use | Targeted profit over a session |
| Typical bet type | Even-money bets |
| Progression style | Line grows on loss, shrinks on win |
| Risk level | High |
| Bankroll pressure | High in extended losing runs |
| Table-limit pressure | Moderate-high |
| Main weakness | Losses lengthen the line and raise stakes |
How the system works
Pick a target profit and split it into a line, e.g. 1-2-3-4 (target 10 units). Bet first + last (1 + 4 = 5 units). A win cancels both ends, leaving 2-3. A loss appends the staked amount to the end, e.g. 1-2-3-4-5. You keep going until the line is empty. With one number left, you bet that number alone.
Step-by-step example
Line 1-2-3-4 (units), $5 per unit, target 10 units = $50:
| Line | Bet (ends) | Result | New line |
|---|---|---|---|
| 1-2-3-4 | $25 (1+4) | Win | 2-3 |
| 2-3 | $25 (2+3) | Loss | 2-3-5 |
| 2-3-5 | $35 (2+5) | Win | 3 |
| 3 | $15 (3) | Win | empty → +$50 |
The line cleared and the target was met - but notice the single loss in the middle pushed a bet up to $35. A run of losses would extend the line and the stakes much further.
Best bet types for the system
Even-money outsides match the cancellation maths, which assumes a 1:1 payout. Using it on inside bets breaks the relationship between the line and the recovery.
What happens during a losing streak
The line grows by one entry per loss, and each new entry is the (rising) bet you just lost. The first + last stake therefore climbs faster than a simple linear system. Several losses in a row can leave you facing bets far larger than your starting stake, with a long line still to clear.
Bankroll and table-limit risk
A persistent losing run can make the required bet exceed both your comfort and the table maximum before the line empties. Keep the starting line short and the units small. The survival calculator includes a simplified Labouchère mode to illustrate how quickly the stake can rise.
European vs American roulette impact
As with all even-money systems, the American double zero lowers your win rate and lengthens lines more often, while nearly doubling the edge. European or French La Partage wheels are the better choice.
Strengths and weaknesses
Strengths
- Customisable target and line
- Multiple wins needed, not one
- Feels structured and goal-driven
- Reverse variant rides streaks
Weaknesses
- Lines grow fast in bad runs
- More complex to track live
- Can reach the table limit
- Negative expected value
Who the system may suit
Players who enjoy a structured, goal-oriented approach and are comfortable tracking a written line, with the discipline to keep starting lines short and units tiny.
Who should avoid it
Beginners who may lose track mid-session, and anyone with a small bankroll - a long line can demand far more than expected before it clears.
Testing advice
Practise the bookkeeping on paper first. Cap your line length and your bet, and decide a stop point if the line grows beyond it. The showdown shows how Labouchère's complexity and volatility compare with simpler systems.
Related systems & tools
Frequently Asked Questions
Write a number line summing to your target. Bet first + last. Wins cancel both ends; losses add the lost amount to the end. Finish when the line is empty.
Yes. Every loss lengthens the line and raises future bets, so a bad run escalates quickly toward the table limit.
A positive-progression variant: add to the line on wins, cancel on losses, to ride streaks while keeping losses small.
Even-money bets, which match the cancellation system's 1:1 assumption.
No. It is a staking plan, not an edge. Long-term EV stays negative.