What is the Labouchère Betting System?

Katerina Gadzheva Author Katerina Gadzheva
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The Labouchère betting system is a staking method that uses a numbered sequence to determine the size of each wager. Also known as the cancellation system, it is commonly discussed in connection with even-money bets, particularly in roulette. The player starts with a sequence of numbers representing a target profit. For each bet, the first and last numbers are added together to determine the stake. After a win, those two numbers are removed from the sequence, while after a loss, the amount wagered is added to the end of the sequence.

The system can look complicated at first, but the basic rules are relatively straightforward. Below, we explain how the Labouchère system works, how to construct a sequence, and what its limitations are.

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Dr Catalin Barboianu, Mathematician and Philosopher of Science PhD
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The Labouchère system does not strictly fall within either the negative or positive progression system and has a different nature from these systems – it is not developed around any algebraic or arithmetical truth, but rather on a personal organization of betting in the form of a combinatorial exercise. Its core principle is to recover the loss by an additional bet, while keeping a constant target profit.

The rule of exhausting the partition of your target profit ensures an overall profit if the number of wins equals the number of losses (as in the D’Alembert system) and implicitly when it exceeds the number of losses.

As in the negative progression systems, Labouchère assumes increasing the stake when you lose, but the increase is not exponential, as in Martingale. It is actually a new bet added in the series, whose stake includes what was lost in the previous bet plus the first number in the partition. The virtue of the Labouchere system is that it helps you keep a record for knowing exactly the win-loss balance and how close you are to making (potentially) a profit.
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Labouchère Sequence for Gambling 101

The Labouchère system is most commonly associated with roulette and other games where a series of comparable wagers can be placed. It is named after Henry Labouchère, the 19th-century British politician and journalist who is generally credited with popularizing the system.

The basic idea is to create a sequence of numbers that represents the amount of profit you would like to target. For example, if your chosen sequence is 1-2-3-4, the sum of the numbers is 10, so the initial target is 10 betting units.

To determine the next stake, you add the first and last numbers in the sequence. With 1-2-3-4, the first wager would therefore be 5 units. After a winning bet, the first and last numbers are crossed out, leaving 2-3. The next wager is 5 units again. After another win, the remaining 2 and 3 are removed and the sequence is completed.

If a bet is lost, the amount wagered is added to the end of the sequence. For example, if the first bet from the 1-2-3-4 sequence is 5 units and it loses, the new sequence becomes 1-2-3-4-5. The next wager is then 1 + 5 = 6 units.

Labouchère is therefore best described as a sequence-based staking system rather than simply a positive or negative progression. The size of the wager can increase or decrease depending on the previous results and the numbers remaining in the sequence.

Key Facts:

  • The Labouchère system uses a number sequence to determine the size of each wager.
  • The first and last numbers are added together to determine the next stake, except when only one number remains.
  • After a win, the first and last numbers are removed from the sequence.
  • After a loss, the amount wagered is added to the end of the sequence.
  • The system does not change the underlying mathematical house edge or probability of the game being played.
Katerina Gadzheva, Betting Expert & Writer for SilentBet
katerina gadzheva igaming writer
The Labouchère system is more structured than many staking methods because every wager follows the numbers remaining in the sequence. However, that structure should not be confused with an advantage over the game itself.

How the Labouchère Strategy Works

The Labouchère system begins with a sequence of numbers chosen by the player. The total of those numbers represents the player’s target profit in betting units. The sequence can be short or long, depending on the target and the chosen unit size.

For example, suppose a player creates the sequence 2-3-4-5. The total is 14 units, so the player is using a sequence with a target of 14 units.

The first and last numbers are added together to determine the initial wager. In this example, 2 + 5 = 7 units.

If the bet wins, both the 2 and the 5 are removed, leaving 3-4. The next wager is therefore 3 + 4 = 7 units.

If instead the first 7-unit bet loses, the amount wagered is added to the end of the sequence. The sequence becomes 2-3-4-5-7, and the next wager is 2 + 7 = 9 units.

The process continues until the sequence has been completely crossed out or the player decides to stop. If only one number remains, that number becomes the next stake.

The sequence can become substantially longer after a series of losses. Consequently, the required stakes can also become larger, which is one of the main risks associated with the system.

Tips for Using This System

Although the Labouchère staking plan is relatively easy to understand once the rules are clear, it is important not to treat it as a method for overcoming the mathematical disadvantage of a casino game. Before checking our detailed list of different betting strategy examples, consider the following points:

  • Choose your sequence carefully – The sum of the numbers determines the target expressed in betting units. A larger sequence can also require larger stakes, particularly after losses.
  • Set a fixed betting unit – Decide how much one unit represents before starting. Avoid increasing the unit simply because you are losing.
  • Understand the maximum stake – A losing run can expand the sequence and increase subsequent wagers. Make sure you understand the potential exposure before placing any bets.
  • Do not confuse staking with an advantage – Labouchère changes how your bets are sized; it does not make an independent random outcome more likely to win.
  • Set limits in advance – Decide how much money and time you are prepared to spend and stop when those limits are reached.
    • katerina gadzheva igaming writer
    Once you understand the sequence, the Labouchère system is not particularly difficult to follow. The important part is understanding what it can and cannot do: it organizes your stakes, but it does not remove the risk of losing money.
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Pros & Cons

The Labouchère system has some practical features, but it also carries significant limitations. The most important ones are summarized below.

  • Advantages of Using the Labouchère System
  • The sequence provides a clear way to organize and track your wagers.
  • The system does not require a win on every individual bet to complete the sequence.
  • The staking rules are systematic and can be followed manually or with a calculator.
  • Unlike Martingale, the stake does not automatically double after every loss.
    • Limitations and Risks of the Labouchère Strategy
  • A series of losses can make the sequence longer and lead to substantially larger subsequent wagers.
  • A sufficiently large bankroll may be required to withstand an unfavorable run, but having more funds does not remove the underlying risk.
  • The system does not alter the house edge or make losing outcomes less likely.
  • Casino betting limits can prevent a player from placing the required stake as the sequence grows.
  • There is no guarantee that completing a sequence will result in a net profit, particularly when the player stops before the sequence is completed or encounters limits on available stakes.

    • The Bottom Line: Should You Use the Labouchère System in Gambling?

    There is no mathematical reason to expect the Labouchère system to produce a long-term advantage over the casino. Like other staking systems, it changes the way wagers are distributed rather than changing the probabilities of the underlying game.

    For players who choose to gamble, Labouchère can be viewed as a structured way of organizing stakes. However, it should not be presented as a reliable way to recover losses or guarantee a target profit. Losing runs can increase the size of future wagers, and the sequence can eventually require stakes that exceed a player’s budget or the table limit.

    As with any gambling strategy, only use money you can afford to lose, set spending and time limits in advance, and never increase your stakes in an attempt to chase losses.

    Katerina Gadzheva, Betting Expert & Writer for SilentBet
    katerina gadzheva igaming writer
    I find the Labouchère system more interesting than a simple loss-doubling approach such as Martingale because its sequence makes the staking process easier to track. But an organized betting system is still not a winning system, and the risks should always be clear.

    FAQs

    Can the Labouchère system be used in different casino games?

    The system can be adapted to different betting situations, but it is most commonly associated with even-money bets, particularly in roulette. Whether it can be applied practically depends on the available bet types, odds, and table limits.

    Are there any variations or adaptations of the Labouchère system?

    Yes. One well-known variation is the reverse Labouchère system, which changes how the sequence is handled after wins and losses. Other variations also modify the basic sequence rules.

    How can I calculate potential winnings or losses using Labouchère?

    The required stake is calculated by adding the first and last numbers in the current sequence. After a win, those numbers are removed; after a loss, the amount wagered is added to the sequence. A Labouchère calculator can automate these calculations and track the sequence throughout a session.

    How does the Labouchère method compare to other betting systems?

    Labouchère differs from systems such as Martingale and D’Alembert because it is based on a number sequence rather than a fixed increase or decrease after each result. No staking system can eliminate the house edge of a casino game or guarantee long-term profit.

    Who uses the Labouchère betting system?

    The system is generally discussed among players interested in structured staking methods, particularly in connection with roulette and even-money bets. It is not a strategy reserved for a specific type of player, and its use does not change the underlying probabilities of the game.

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      Author: Katerina Gadzheva
      Certified Betting Expert
      Katerina Gadzheva
      Katerina has 10+ years of experience in iGaming. She has been a player long before that. Using her skills as a content writer and first-hand knowledge of the online gambling industry, she reviews and compares online casinos for Silentbet. She also runs the whole website as its Project Manager.
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