# How to Use the Labouchère Betting System

> Learn the Labouchère rules, follow a # How to Use the Labouchère Betting System0 calculator example, and understand bankroll limits, house edge and why -110 odds do not fit the 1:1 model.

- Source: https://toolsgambling.com/blog/labouchere-betting-system
- Author: Evgeniy Volkov (ToolsGambling)
- Published: 2026-02-01
- Updated: 2026-10-26
- Cite as: "Labouchere Betting System: Rules and Calculator", ToolsGambling, https://toolsgambling.com/blog/labouchere-betting-system

The Labouchère betting system sets your next stake from a line of numbers: after a win, remove the numbers at both ends; after a loss, append the stake to the line. Also called the cancellation betting system, it is a stake progression—not a prediction method. It does not remove the house edge or turn a negative-expected-value game into a profitable one.

The worked example below assumes net profit of 1:1 on a win and a full loss otherwise. Clearing the line earns its initial sum only if every required bet can be made. A limited bankroll or table maximum can stop the progression before that happens.

## How does the line determine your next stake?

Your next stake is the sum of the first and last numbers in the line. If only one number remains, stake that amount—not twice that amount.

Follow these rules:

1. Write a starting line. Here, `[2,2,2,2,2]` totals \$10.
2. Stake the sum of its ends: \$2 + \$2 = \$4.
3. After a win, remove the first and last numbers. If only one remains, remove it.
4. After a loss, append the amount staked.
5. An empty line marks the end of the cycle.

The numbers here are dollar amounts, not an unspecified unit size. The model assumes full wins and losses, net profit of 1:1, and no pushes, partial returns or fees. All amounts are whole dollars, so no rounding is needed.

### A complete example ending at +\$10

The result sequence loss, win, loss, win, win, win clears this line in six bets. Total turnover—the sum of all stakes—is \$26, and the final net profit is \$10.

| Step | Line before bet | Stake | Result | Line after bet | Cumulative P/L |
|---|---|---|---|---|---|
| 1 | `[2,2,2,2,2]` | \$4 | Loss | `[2,2,2,2,2,4]` | −\$4 |
| 2 | `[2,2,2,2,2,4]` | \$6 | Win | `[2,2,2,2]` | +\$2 |
| 3 | `[2,2,2,2]` | \$4 | Loss | `[2,2,2,2,4]` | −\$2 |
| 4 | `[2,2,2,2,4]` | \$6 | Win | `[2,2,2]` | +\$4 |
| 5 | `[2,2,2]` | \$4 | Win | `[2]` | +\$8 |
| 6 | `[2]` | \$2 | Win | `[]` | +\$10 |

This is a possible path under the stated rules, not a report of a real session or a promise of the same result. The initial line sets the profit of a completed cycle; it does not guarantee completion.

The chart below illustrates a randomized sample path. It need not reproduce the table and does not estimate the probability of reaching the target.

## How do you repeat the example in the calculator?

In the [Labouchère calculator](https://toolsgambling.com/betting/labouchere-system), enter a \$10 profit target, generate the line and manually record each result. The tool shows the sequence, next stake and cumulative profit or loss.

1. Enter `10` in the profit target field.
2. Click “Generate Sequence”. The line should be `2,2,2,2,2`, with a next stake of \$4.
3. Click “I Lost”. The line becomes `2,2,2,2,2,4`, the next stake is \$6, and cumulative P/L is −\$4.
4. Click “I Won”. The line becomes `2,2,2,2`, the next stake is \$4, and cumulative P/L is +\$2.
5. To finish the table’s path, click “I Lost”, then click “I Won” three times.

![Labouchère calculator with a \$10 target, line 2,2,2,2,2 and next stake of \$4](https://toolsgambling.com/media/article/2026/10/57a815b32b227ee29008be8562b9ec6e.webp)

*Local English screenshot: generating a \$10 target produces the line 2,2,2,2,2 and a \$4 next stake.*

![Labouchère calculator after a loss, showing line 2,2,2,2,2,4, next stake \$6 and cumulative P/L −\$4](https://toolsgambling.com/media/article/2026/10/12c6f867ebb48c6f0d31376614374dcb.webp)

*After “I Lost”, 4 is appended to the line. The next stake is \$6 and cumulative P/L is −\$4.*

![Labouchère calculator after the following win, showing line 2,2,2,2, next stake \$4 and cumulative P/L +\$2](https://toolsgambling.com/media/article/2026/10/a9996d14481848cd8022070e1cc1dfa9.webp)

*After the following “I Won”, the end numbers are removed. The next stake is \$4 and cumulative P/L is +\$2.*

The tile labelled “Bankroll” actually shows **cumulative net profit or loss**, not your available gambling funds. A value of +\$2 describes the recorded results, not how much money you have available.

The calculator does not accept odds, a bankroll or a table limit. It cannot check whether you can afford the next stake; track those limits separately. Do not rely on “Undo” as a full state reset.

## How can bankroll and table limits stop the progression?

You cannot continue the line if the next stake exceeds your remaining bankroll or the table maximum. A \$10 target therefore does not imply a small possible loss.

Starting with `[2,2,2,2,2]`, eight consecutive losses require:

**\$4 + \$6 + \$8 + \$10 + \$12 + \$14 + \$16 + \$18 = \$88.**

The next stake is \$20. With a starting bankroll of \$100, only \$12 remains, so that bet cannot be funded.

A table limit can stop the line sooner. With a \$15 maximum stake, six losses cost \$54; the next required stake of \$16 is blocked.

These are possible paths, not forecasts, estimates of losing-streak frequency or recommended bankroll sizes. Before any real bet, compare the stake with your available funds and the table limit. An unfinished line is not an obligation to deposit more money.

## Why does a 1:1 payout not mean a 50% win chance?

A 1:1 payout means the net profit on a win equals the stake. It does not mean the bet wins half the time: roulette’s zero pockets create the house edge.

Under standard rules, a colour bet covers 18 numbers and loses on zero.

| Wheel | Chance of winning a colour bet | House edge | RTP |
|---|---|---|---|
| European: 37 pockets, single zero | 18/37 = 48.6486% | 1/37 = 2.7027% | 36/37 = 97.2973% |
| American: 38 pockets, double zero | 18/38 = 47.3684% | 2/38 = 5.2632% | 36/38 = 94.7368% |

For the standard European model, the expected cost of \$1,000 in total turnover is \$27.03. This is expected value, not a forecast for one session. RTP is a long-run expected return ratio, not the probability of winning a spin or session.

Where **La Partage** applies, zero returns half of an eligible even-money bet, reducing the house edge to 1/74 = 1.3514%. That half-loss does not fit the classic line’s full-win/full-loss rules; it needs an explicit line-update rule.

Check your own table’s rules. The undated PDFs for [single-zero roulette](https://content001.bet365.gr/Casino/GamesHelp/eng/LiveRoulette.pdf) and [French roulette](https://content001.bet365.gr/Casino/GamesHelp/eng/LiveFrenchRoulette.pdf) are Bet365 operator rules. The [double-zero roulette PDF](https://www.gra.gov.sg/docs/default-source/game-rules/rws/roulette-games/rws_roulette_double_zero_v2.pdf?sfvrsn=cb34ab44_3) is a specific Resorts World Sentosa (RWS) rules document hosted by Singapore’s Gambling Regulatory Authority. These sources do not establish universal rules. For variant-specific coverage, see the [Labouchère roulette guide](https://toolsgambling.com/blog/labouchere-roulette-strategy).

## Does Labouchère work unchanged for sports betting at -110?

No. Classic cancellation does not track the intended profit exactly at -110 because a winning bet earns less net profit than the amount staked.

At American odds of -110, you stake \$110 to win \$100 net. The decimal equivalent is approximately 1.909—not a 1:1 payout. Removing line entries totalling the full stake after that win breaks the original model’s accounting.

Decimal odds of 2.00 give net profit equal to the stake before fees or settlement exceptions. However, odds alone do not determine the actual probability of an event winning.

The calculator does not accept or account for odds. Do not use its standard line as an exact profit-target calculation for -110 or 1.91, or automatically adjust stakes without a separate, validated model.

## How does reverse Labouchère compare with other staking rules?

Reverse Labouchère reverses the line updates: append the stake after a win and remove the end numbers after a loss. Compare these systems by how they change stakes, not by promises of profitability.

| Approach | Stake-update rule | Limitation |
|---|---|---|
| Standard Labouchère | Append the stake after a loss; remove the ends after a win | A growing line can require a stake beyond the bankroll or table limit |
| Reverse Labouchère | Append the stake after a win; remove the ends after a loss | Stakes can grow during winning streaks and reach available-funds or table limits |
| Martingale | Double the stake after a loss; return to the starting stake after a win | A losing streak can make the next stake unaffordable |
| Flat betting | Keep the stake unchanged regardless of the previous result | A finite bankroll still limits how long play can continue |

None of these rules, by itself, changes the outcome probabilities or payout terms.

The chart below generates randomized sample paths. Like the first chart, it is an illustration, not a controlled comparison. A line finishing higher does not establish that its system is more effective.

## What should you check before using the system?

Treat the line as a way to track stakes, not a guarantee of recovering losses. Check payout rules, available bankroll and the table maximum before starting, then check whether each next stake is affordable.

For a practical introduction, repeat the verified calculator example without wagering real money. For more detail on the assumptions and mathematics, see the [Labouchère strategy guide](https://toolsgambling.com/blog/labouchere-strategy-guide). Results from an idealized unbounded model cannot automatically be applied to a finite session with limited funds.

## FAQ

### Can a line be cleared with only one-third of bets winning?

The one-third-wins count is conditional on a finished line. It does not establish the likelihood of finishing, the bankroll required or positive expected value. The order of results, stake sizes and stopping limits all matter.

### What is the probability of clearing a line?

There is no single probability without a specified model. You need the win probability, payout rules, starting line, bankroll, maximum stake and stopping conditions. A completed example or randomized chart does not supply that probability.

### Does standard cancellation handle pushes or half-losses?

No. The algorithm described here assumes either a full win with net profit of 1:1 or a full loss. Pushes, half-losses and other partial outcomes need an explicit line-update rule.

### Can the calculator place bets for me?

No. You manually record a win or loss. The calculator updates the line, next stake and cumulative profit or loss; it does not place bets or predict outcomes.