The mathematical sequence that creates a "safer" progression than Martingale.
The Fibonacci strategy uses the famous mathematical sequence where each number is the sum of the two preceding ones. In roulette, you follow this sequence to determine your bet sizes, moving forward after losses and backward after wins.
Each number = previous two numbers added together (1+1=2, 1+2=3, 2+3=5, etc.)
| Spin | Sequence Position | Bet | Outcome | Win/Loss | Running Total |
|---|---|---|---|---|---|
| 1 | 1st | $1 | Loss | -$1 | -$1 |
| 2 | 2nd | $1 | Loss | -$1 | -$2 |
| 3 | 3rd | $2 | Loss | -$2 | -$4 |
| 4 | 4th | $3 | Loss | -$3 | -$7 |
| 5 | 5th | $5 | Win | +$5 | -$2 |
| 6 | 3rd | $2 | Win | +$2 | $0 |
Note: After the win on spin 5, we moved back 2 positions (from 5th to 3rd). After the win on spin 6, we moved back 2 more positions (from 3rd to 1st) and broke even.
Move forward one position in the sequence. Your next bet increases according to the Fibonacci pattern.
Move backward two positions in the sequence. This helps recover losses more efficiently than other systems.
The key insight is that winning one bet can recover the losses from multiple previous bets, but the progression is much slower than the Martingale system.
Example: If you're at position 8 (betting $21) and win, you move back to position 6 (betting $8 next), having recovered several smaller losses with one larger win.
Bets don't escalate as quickly, reducing risk
Based on a well-known mathematical sequence
One win can recover multiple losses
Easy to follow once you understand the sequence
Sequence and rules harder than simple systems
Long losing streaks still lead to large bets
Doesn't overcome the house advantage
Takes many cycles to show significant gains
| System | Progression Speed | Complexity | Risk Level |
|---|---|---|---|
| Fibonacci | Moderate | Medium | Medium |
| Martingale | Very Fast | Simple | Very High |
| D'Alembert | Slow | Simple | Medium |
| Flat Betting | None | Simple | Low |
Starting with $1 bets, here's how the sequence grows:
$1 → $1 → $2 → $3 → $5 → $8 → $13 → $21 → $34 → $55 → $89
Total at risk after 10 losses: $232 to potentially win back losses
Like all betting systems, Fibonacci changes how your money is distributed over time, but it cannot change the fundamental mathematics of roulette. Each spin is independent with the same house edge.
While the Fibonacci sequence appears in nature and has mathematical beauty, this doesn't give it any special power in gambling. Past results don't influence future spins.
Over time, you'll still lose money at the same rate as any other system - about 2.7% of your total bets on European roulette, regardless of how you size those bets.
Move forward 1 position on loss, back 2 positions on win
Bet the same amount every time. Boring but safe, with predictable losses.
If you want progression, D'Alembert is simpler and slightly safer than Fibonacci.
Focus on setting loss limits and win goals rather than betting systems.
The Fibonacci system is better than Martingale but still flawed. While the slower progression reduces immediate risk, it doesn't eliminate the fundamental problem that no betting system can overcome the house edge.
Try the Fibonacci strategy risk-free in our simulator and see how it compares to other systems.
🧪 Test Fibonacci Strategy