Fibonacci Betting Strategy for Roulette
The Fibonacci betting strategy is a progressive betting system based on the famous numerical sequence discovered by Leonardo Fibonacci in the 13th century.
In roulette, it increases bets after losses and steps back after wins — a slower, more controlled approach than Martingale.
Favoured by cautious players, it works best on even-money bets, but like all systems, it cannot beat the house edge in the long run.
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History & Concept
The Fibonacci sequence is a series where each number equals the sum of the previous two: 1, 1, 2, 3, 5, 8, 13, and so on.
Discovered by Italian mathematician Leonardo of Pisa (nicknamed Fibonacci) in 1202, it appears in nature, art, and finance.
Gamblers adapted it for betting as a way to recoup losses more gradually than aggressive doubling systems.
How to Use the Fibonacci in Roulette
- Choose an even-money bet: e.g., Red/Black, Odd/Even, High/Low.
- Start at 1 unit: If you lose, move one step forward in the sequence.
- After a win: Move back two steps in the sequence.
- Reset: When you reach overall profit, restart at 1 unit.
| Spin | Sequence Position | Bet | Result | Next Position |
|---|---|---|---|---|
| 1 | 1 | £1 | Loss | 1 |
| 2 | 1 | £1 | Loss | 2 |
| 3 | 2 | £2 | Loss | 3 |
| 4 | 3 | £3 | Win | 1 |
Fibonacci Progression Tracker
| Spin | Bet Amount | Result | Sequence Step | Bankroll |
|---|---|---|---|---|
| 1 | £1 | Loss | 1 | £99 |
| 2 | £1 | Loss | 2 | £98 |
| 3 | £2 | Win | 1 | £100 |
Track bets carefully to avoid skipping steps — accuracy is key.
Reverse Fibonacci Variant
The Reverse Fibonacci flips the logic: you move forward in the sequence after wins and back two steps after losses.
This aims to capitalise on winning streaks instead of chasing losses.
However, it carries higher volatility and requires strict stop-win rules to lock in gains.
Bankroll Planning & Probability
European roulette even-money bets win 48.65% of the time. House edge: 2.70%.
| Bankroll | Suggested Session Length | Risk Profile |
|---|---|---|
| £100 | 20–30 spins | Short-term, high variance risk |
| £500 | 40–60 spins | Moderate buffer |
| £1,000+ | 60–100 spins | Greater streak resilience |
Best Bets for Fibonacci
| Bet Type | Probability (EU) | Payout |
|---|---|---|
| Red/Black | 48.65% | 1:1 |
| Odd/Even | 48.65% | 1:1 |
| High/Low | 48.65% | 1:1 |
Pros & Cons
- Slower bet escalation than Martingale
- Simple sequence to remember
- Potential to recover losses gradually
- Doesn’t overcome house edge
- Still vulnerable to long losing streaks
- Requires discipline to track sequence
Fibonacci vs Other Systems
- Martingale: Faster loss recovery but riskier.
- Labouchere: Flexible target profit but more complex tracking.
- d’Alembert: