Martingale
The Classic Doubling System
How It Works
The Martingale system is the simplest and most famous betting progression in casino history. The rules are straightforward: after every loss, you double your bet. After a win, you reset to your original base bet. The theory is that when you eventually win, you recover all previous losses plus a profit equal to your original bet.
Example Sequence
Starting bankroll: $1,000 | Base bet: $10
Spin 1: Loss (-$10) → Next bet: $20
Spin 2: Loss (-$20) → Next bet: $40
Spin 3: Loss (-$40) → Next bet: $80
Spin 4: Win (+$80) → Net profit: $10 | Reset to $10
Total risked: $150. Total recovered: $160. Profit: $10.
Advantages
- Simple to understand and execute
- Frequent small wins feel rewarding
- Short-term profit is highly probable
- Works well with even-money bets
Disadvantages
- Exponential bet growth on losing streaks
- 6 consecutive losses: bet jumps to $640
- Table limits prevent recovery
- Limited bankroll makes long streaks fatal
The Mathematical Truth
The Martingale system cannot overcome the house edge. While short-term winning sessions are common, the expected value remains negative. A losing streak of 8-10 consecutive losses (which occurs with roughly 0.4% probability on each sequence of 10 even-money bets) can wipe out months of small profits. The risk of ruin far exceeds the potential reward when viewed mathematically.
Probability of Loss Streaks (European Roulette, even-money bets)
4 losses in a row: 1 in 16 sequences (6.3%)
6 losses in a row: 1 in 64 sequences (1.6%)
8 losses in a row: 1 in 256 sequences (0.4%)
10 losses in a row: 1 in 1,024 sequences (0.1%)
With a $10 base bet, 10 losses = $10,230 total risk.
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