The Martingale is the oldest and most widely known progressive staking system. The logic is seductively simple: double your stake after every loss. When you eventually win (as you must, unless losing infinitely many times), you recover all previous losses and net a profit equal to your original stake.
How it works: Start with £10. Lose — next bet £20. Lose — next bet £40. Lose — next bet £80. Win — receive £160 (bet £80, win £80 profit). Net position: losses of £10+£20+£40 = £70, plus win of £80, total profit = £10 (original stake). Each winning bet always produces a profit of one unit regardless of where in the sequence it occurs.
Why it fails in practice:
- Exponential growth: 10 consecutive losses require a stake of 1,024 units — a starting stake of £10 becomes a required bet of £10,240.
- Maximum stake limits: bookmakers cap stakes, preventing the required doubling.
- Finite bankroll: no bettor has unlimited capital.
- Negative EV: Martingale cannot overcome the house edge. The expected loss per unit staked remains constant regardless of staking progression.
Gambler's fallacy is the cognitive error that makes Martingale appealing. The idea that a team must eventually win, or a coin must land heads eventually, is correct in isolation — but each event is independent. Previous losses provide no guarantee of future wins.
Example
You start Martingale on coin-flip even-money bets at £10. You lose 6 times: £10, £20, £40, £80, £160, £320 = £630 total lost. The 7th bet must be £640. Even if you win, you profit only £10 from £630 at risk over 7 bets. One more loss would require £1,280 — exceeding most bookmakers' maximum stakes.