See why doubling your stake after every loss eventually fails. Run thousands of simulations and watch the classic pattern: slow climb, sudden cliff.
The Martingale system doubles your stake after every loss. Here's how quickly stakes escalate starting from just £10:
| Bet # | Stake | Cumulative Loss | Profit if Win |
|---|---|---|---|
| 1 | £10 | £10 | £10 |
| 2 | £20 | £30 | £10 |
| 3 | £40 | £70 | £10 |
| 4 | £80 | £150 | £10 |
| 5 | £160 | £310 | £10 |
| 6 | £320 | £630 | £10 |
| 7 | £640 | £1,270 | £10 |
| 8 | £1,280 | £2,550 | £10 |
| 9 | £2,560 | £5,110 | £10 |
| 10 | £5,120 | £10,230 | £10 |
After just 7 consecutive losses, you'd need to stake £640 — all to win back £10 profit. This is why the system fails: exponential risk for linear reward.
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Watch bankroll trajectories and study the distribution of final outcomes.
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The Martingale system is seductive because it seems logical: if you keep doubling, you'll eventually win and recover everything plus your initial profit. But mathematics tells a different story.
Exponential stake growth vs. linear expected gain: Each win nets you only your base stake (e.g., £10), regardless of how much you've risked. But the required stake grows exponentially: £10, £20, £40, £80, £160... After just 10 losses, you need over £5,000 to chase a £10 profit.
The probability trap: At even-money odds (2.0), the probability of losing 7 times in a row is (0.5)^7 = 0.78%. That sounds tiny — but over 500 bets, the probability of experiencing at least one 7-loss streak exceeds 95%. It's not a question of if, but when.
Finite bankrolls: The system only works with infinite money and no table limits. In reality, every bankroll has a ceiling. When you hit it, you absorb a catastrophic loss that wipes out hundreds of small wins.
Expected value is unchanged: The Martingale system doesn't change the house edge. If the bookmaker has a 5% margin, you lose 5% on average no matter what staking plan you use. The system just redistributes outcomes: many small wins and rare devastating losses.
See Also: Compare Martingale against four other strategies in our Staking Strategy Comparison tool. For a mathematically sound alternative, try the Kelly Criterion Calculator.
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