Martingale Strategy Calculator

What is the Martingale Strategy?

The Martingale strategy is one of the oldest and most well-known betting and position sizing systems, originating in 18th-century France. The core principle is simple: double your bet after every loss so that when you eventually win, you recover all previous losses plus gain a profit equal to your original bet. While mathematically elegant, this strategy carries significant practical risks that this calculator helps you understand through Monte Carlo simulation.

How the Martingale Strategy Works

The Classic Martingale strategy follows a straightforward rule: after each loss, double your bet size. When you win, reset to your original bet. The theory is that a win is inevitable, and when it comes, it recovers all previous losses. For example, if you start with a $10 bet and lose five times in a row, your sixth bet would be $320. A win at this point recovers all $310 in previous losses plus a $10 profit.

The Anti-Martingale (or Reverse Martingale) strategy does the opposite: double after wins and reset after losses. This approach aims to capitalize on winning streaks while limiting losses during downturns. Both strategies are analyzed in detail by this calculator.

Understanding the Monte Carlo Simulation

This calculator uses Monte Carlo simulation to run thousands of hypothetical betting sessions based on your parameters. Each simulation randomly determines wins and losses according to your specified win probability, then applies the chosen strategy. By aggregating results across all simulations, you get statistically meaningful insights into the strategy's risk profile, including average final balance, ruin probability, and expected drawdown.

Key Metrics Explained

The simulation results show several critical metrics. The Average Final Balance indicates the expected outcome across all simulations. The Ruin Probability shows the percentage of simulations where the bankroll was completely depleted. The Success Rate measures how often the strategy achieves a net profit. Average Drawdown reflects the typical peak-to-trough decline in your bankroll during a session.

Why the Martingale Strategy Carries Risk

The fundamental weakness of the Martingale strategy is exponential bet growth. After just 10 consecutive losses with a $10 initial bet, you need $10,240 for the next bet and over $20,000 in total capital. Such losing streaks are not rare in independent trial sequences. Additionally, real-world constraints like table limits, finite bankrolls, and the house edge make the strategy mathematically unsustainable over the long term.

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