Martingale vs D'Alembert

Which roulette betting strategy is right for you? Compare these two popular systems side-by-side.

Martingale Strategy

Double your bet after each loss to recover losses plus a small profit when you win.

very-aggressivesimplenegative progression

D'Alembert Strategy

Increase bet by one unit after a loss, decrease by one after a win.

moderatesimplenegative progression

10,000 Simulated Sessions Each: Martingale vs D'Alembert

We ran both systems through 10,000 simulated sessions on a European wheel under identical conditions: $1,000 bankroll, stopping at $1,500 (win), $500 (loss), or 500 spins.

Measured over 10,000 sessionsMartingaleD'Alembert
Sessions ended in profit39%36.6%
Average session result−$65−$155
Average spins per session132163
Average worst drawdown−$272−$413
Best single session$500$565
Worst single session−$635−$610
Hit the table limit20.5%

In this run, Martingale came out ahead on both measures — more sessions in profit and a smaller average loss. The house edge still won overall: both averaged a losing session.

How Martingale sessions ended

Losing sessionsWinning sessions
Lost over $800
0%
Lost $400–$800
35.8%
Lost $100–$400
25.2%
Lost up to $100
0%
Won up to $100
0%
Won $100–$400
0%
Won $400–$800
39%
Won over $800
0%

How D'Alembert sessions ended

Losing sessionsWinning sessions
Lost over $800
0%
Lost $400–$800
63.4%
Lost $100–$400
0%
Lost up to $100
0%
Won up to $100
0%
Won $100–$400
0%
Won $400–$800
36.6%
Won over $800
0%

Methodology: fixed-seed runs from our open simulation engine, using the same settings as the strategy guides and interactive simulators — the numbers here match each system's guide page and can be reproduced there. Both systems lose on average because no betting progression changes the house edge; the comparison shows how differently they get there.

Side-by-Side Comparison

FeatureMartingaleD'Alembert
Stylevery-aggressivemoderate
Complexitysimplesimple
Progression Typenegativenegative
Best ForShort sessionsConservative players

Martingale

Pros

  • Simple to understand and follow
  • Guarantees profit on each winning sequence
  • Works well in short term

Cons

  • Exponential bet growth can wipe out bankroll
  • Table limits can break the system
  • Large bets for small rewards

D'Alembert

Pros

  • Very slow and safe progression
  • Easy to understand
  • Lower variance than Martingale

Cons

  • Takes longer to recover losses
  • Still cannot beat house edge
  • Profit potential is limited

Quick Summary

Simpler Option

Easier to learn and follow:

Martingale

More Conservative

Slower bet progression:

D'Alembert

More Aggressive

Faster bet progression:

Martingale

Quick Simulation: Martingale on Red

Starting balance: $1,000 | Base bet: $10 | European roulette odds

Quick Simulation: D'Alembert on Red

Starting balance: $1,000 | Base bet: $10 | European roulette odds

Test Both Strategies

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