Fibonacci Roulette Simulator
The Fibonacci system increases bets following the 1-1-2-3-5-8 sequence after losses. It is slower than Martingale but carries similar long-term risk. Simulate hundreds of spins to see the pattern.
Fibonacci Roulette Simulator
The Fibonacci system advances one step forward on loss and two steps back on win. Slower than Martingale, but still subject to the same fundamental limits.
The Fibonacci Sequence
Each number is the sum of the previous two. The sequence starts: 1, 1, 2, 3, 5, 8, 13… Your bet advances one step forward after a loss, and two steps backward after a win.
Fibonacci bet at step 10: $275.00 vs Martingale: $2,560.00 — Fibonacci grows ~9× slower at this point.
Bet Progression
Bet size per consecutive loss
| Loss # | Next Bet | Total Lost | Probability |
|---|---|---|---|
| 1 | $5.00 | -$0.00 | 1 in 1 |
| 2 | $5.00 | -$5.00 | 1 in 2 |
| 3 | $10.00 | -$10.00 | 1 in 4 |
| 4 | $15.00 | -$20.00 | 1 in 7 |
| 5 | $25.00 | -$35.00 | 1 in 14 |
| 6 | $40.00 | -$60.00 | 1 in 28 |
| 7 | $65.00 | -$100.00(≈$100) | 1 in 55 |
| 8 | $105.00 | -$165.00 | 1 in 106 |
| 9 | $170.00 | -$270.00 | 1 in 207 |
| 10 | $275.00 | -$440.00(≈$500) | 1 in 403 |
| 11 | $445.00 | -$715.00 | 1 in 784 |
| 12 | $720.00 | -$1160.00 | 1 in 1,527 |
| 13 | $1165.00 | -$1880.00 | 1 in 2,974 |
| 14 | $1885.00 | -$3045.00 | 1 in 5,792 |
| 15 | $3050.00 | -$4930.00(≈$5000) | 1 in 11,279 |
Probability based on European roulette loss rate (19/37). Yellow rows indicate when cumulative losses approach common bankroll sizes.
Growth curve
Fibonacci vs Martingale
The Fibonacci grows roughly proportional to φⁿ (≈ 1.618 per step) versus Martingale's 2ⁿ. This means bets escalate more gently, giving you more spins before hitting a table limit or bankroll crisis. However, the negative expected value per spin (−2.7% European, −5.26% American) is identical — neither system changes the house's mathematical advantage.
Quick Simulation (200 sessions)
Starting bankroll: $500 · Max 100 spins · European wheel
Click Run Simulation to see results.
Use the Full Strategy Tester for deeper analysis
The quick simulation above runs 200 sessions. For more statistically reliable results — especially percentiles, distribution charts, and CSV exports — use the Strategy Tester which supports up to 10,000 sessions and compares any strategy on any bet type.