Roulette Simulator

Labouchere Strategy Guide

The complex "cancellation system" that can lead to massive bets and devastating losses.

What is the Labouchere Strategy?

The Labouchere system (also called the "Cancellation System" or "Split Martingale") was invented by Henry Labouchere, a British politician and writer. It uses a sequence of numbers to determine bet sizes, with the goal of crossing out all numbers to achieve profit when the sequence is completed.

Basic Labouchere Rules:

  1. 1. Create a sequence of numbers (e.g., 1-2-3-4)
  2. 2. Your bet = first number + last number in sequence
  3. 3. If you win: cross out the first and last numbers
  4. 4. If you lose: add the bet amount to the end of sequence
  5. 5. Continue until all numbers are crossed out (profit achieved)
  6. 6. If sequence becomes too long, restart or quit

Labouchere in Action: Example Sequence

Starting Sequence: 1-2-3-4

Goal: Win $10 (sum of all numbers)

SpinSequenceBetOutcomeRunning TotalNew Sequence
11-2-3-4$5 (1+4)Win+$52-3
22-3$5 (2+3)Loss$02-3-5
32-3-5$7 (2+5)Loss-$72-3-5-7
42-3-5-7$9 (2+7)Win+$23-5
53-5$8 (3+5)Win+$10Complete!

Result: Sequence completed! We achieved our $10 goal despite having more losses (3) than wins (2).

How the Labouchere System Works

🎯 The Goal

The target profit equals the sum of all numbers in your starting sequence. You can choose any sequence, which determines both your goal and betting pattern.

Examples:
• 1-1-1 = $3 target (conservative)
• 1-2-3-4-5 = $15 target (aggressive)
• 2-2-2-2 = $8 target (moderate)

⚠️ The Danger

When you lose, the bet amount gets added to the sequence, making it longer. Losing streaks cause sequences to grow rapidly and bet sizes to escalate.

Example escalation:
• Start: 1-2-3
• After 3 losses: 1-2-3-6-8-9
• Next bet: $10 (1+9)

✅ Pros of Labouchere

  • Flexible profit targets

    You control the goal amount and sequence

  • Can win with fewer wins than losses

    Timing of wins matters more than quantity

  • Engaging system

    Complex enough to keep players interested

  • Mathematical elegance

    Satisfying when sequences complete

❌ Cons of Labouchere

  • Very complex to track

    Easy to make mistakes with sequences

  • Sequences can become huge

    Long losing streaks create massive bets

  • Table limits break the system

    Can't continue when bets exceed limits

  • Catastrophic loss potential

    Can lose much more than target profit

⚠️ How Sequences Can Explode

Starting sequence: 1-2-3 (target: $6)

Spin 1: Bet $4 (1+3) → LOSE → Sequence: 1-2-3-4
Spin 2: Bet $5 (1+4) → LOSE → Sequence: 1-2-3-4-5
Spin 3: Bet $6 (1+5) → LOSE → Sequence: 1-2-3-4-5-6
Spin 4: Bet $7 (1+6) → LOSE → Sequence: 1-2-3-4-5-6-7
Spin 5: Bet $8 (1+7) → LOSE → Sequence: 1-2-3-4-5-6-7-8

Total lost so far: $30 to achieve a $6 target!

The Problem

  • • Each loss makes the sequence longer
  • • Longer sequences mean bigger bet requirements
  • • You need many consecutive wins to clear a long sequence
  • • One more loss streak can destroy your bankroll

Labouchere Variations

🔄 Reverse Labouchere

Add bet amount after wins, cross out numbers after losses. Aims to capitalize on winning streaks while limiting losses.

  • • Limits downside risk
  • • Profits during winning streaks
  • • Still complex to manage
  • • Gives back profits when streaks end

📏 Modified Labouchere

Set limits on sequence length or maximum bet size to control risk.

  • • Restart sequence when it gets too long
  • • Cap maximum bet sizes
  • • Reduces catastrophic loss potential
  • • May not achieve profit targets

🧮 Mathematical Reality

Why Labouchere Seems to Work

The system often achieves its profit target because you can win with fewer wins than losses. This creates an illusion of success, but each "win" risks increasingly larger amounts.

The Hidden Danger

While you might complete many sequences successfully, one bad run can wipe out all previous profits and much more. The risk-to-reward ratio becomes increasingly unfavorable.

Expected Value

Like all betting systems, Labouchere doesn't change the house edge. The complex calculations mask the fact that you're still losing 2.7% of total bets over time on European roulette.

Labouchere Monte Carlo Simulation

Labouchere Strategy:

Start with sequence: [1, 2, 3, 4, 5]. Bet sum of first and last numbers. Win: remove those numbers. Loss: add bet amount to end. Target: $75 per sequence.

Current sequence profit target: $75

Roulette Type

Labouchere vs Other Systems

FactorLabouchereMartingaleD'Alembert
ComplexityVery HighLowLow
Bet GrowthVariable/HighExponentialLinear
Risk LevelHighVery HighMedium
Profit ControlHighFixedVariable

💡 Final Verdict on Labouchere

Labouchere is one of the most dangerous betting systems. While it offers flexibility and can achieve targets with fewer wins than losses, the complexity and potential for catastrophic losses make it unsuitable for most players.

✅ Only consider Labouchere if:

  • • You enjoy complex mathematical systems
  • • You're testing with play money only
  • • You have exceptional discipline
  • • You set strict loss limits

❌ Avoid Labouchere if:

  • • You're playing with real money
  • • You want a simple system
  • • You can't afford large losses
  • • You're looking for guaranteed profits

Test Labouchere Cautiously

See firsthand how complex and dangerous the Labouchere system can be in our risk-free simulator.

⚠️ Test Labouchere Strategy