Fibonacci Calculator – Free Betting Sequence Simulator
Simulate the Fibonacci betting system before you play. This negative progression uses the famous sequence (1, 1, 2, 3, 5, 8, 13…) to recover losses gradually. Slower than Martingale, but still risky. See the math before you bet.
For educational purposes only. No betting system beats the house edge long-term.
How This Fibonacci Calculator Works
Enter your bankroll, base bet, and win probability. The simulator shows how far up the sequence you’ll climb, average recovery time, and risk of ruin. You’ll see exactly when the system breaks down.
| R | Bet | Loss | Profit |
|---|
| # | Bet | Result | P/L |
|---|
Why Fibonacci Is "Safer" Than Martingale
Fibonacci increases bets slower than Martingale’s doubling. After 7 losses, Martingale bets 64x your base. Fibonacci bets only 13x. Less aggressive, longer survival — but the house edge still wins eventually.
Ready to Test Your Strategy?
Put your calculations to work. Start with a welcome bonus and see how your system performs in real games.
Advanced features for serious bettors.
Is Fibonacci Really Safer Than Martingale?
Yes, but "safer" is relative. Fibonacci's slower progression means your bankroll lasts longer. But you're still chasing losses with increasing bets. The house edge doesn't care which mathematical sequence you use.
We simulated 10,000 Fibonacci sessions with $500 bankroll, $10 base bet, and 48.6% win rate. Results: average session lasted 89 rounds — nearly double Martingale's 47, but less than half of Paroli's 203. Ruin rate was 61%. See the complete analysis for details.
| What Fibonacci Promises | What Actually Happens |
|---|---|
| "Gentler progression than Martingale" | True — bets grow slower, but still grow |
| "Mathematical elegance" | Math is elegant, but doesn't change odds |
| "Recover losses over time" | Only if you win before bankroll runs out |
Fibonacci buys you more time, not more wins.
How the Fibonacci Betting Sequence Works
The famous sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... Each number is the sum of the two before it.
The Rules
Start at position 1. After a loss, move one step right. After a win, move two steps left (but never below position 1). Your bet = base bet × current sequence number.
| Position | Sequence # | Bet ($10 base) | Total Wagered |
|---|---|---|---|
| 1 | 1 | $10 | $10 |
| 2 | 1 | $10 | $20 |
| 3 | 2 | $20 | $40 |
| 4 | 3 | $30 | $70 |
| 5 | 5 | $50 | $120 |
| 6 | 8 | $80 | $200 |
| 7 | 13 | $130 | $330 |
| 8 | 21 | $210 | $540 |
After 8 consecutive losses with Fibonacci: $540 wagered, next bet $210. After 8 losses with Martingale: $2,550 wagered, next bet $1,280. Big difference — but both hurt.
Fibonacci vs Martingale: The Math
Direct comparison after equal losing streaks:
| Consecutive Losses | Fibonacci Total | Martingale Total | Difference |
|---|---|---|---|
| 5 | $120 | $310 | Fibonacci 61% less |
| 7 | $330 | $1,270 | Fibonacci 74% less |
| 10 | $1,420 | $10,230 | Fibonacci 86% less |
Fibonacci's advantage grows as streaks get longer. But here's the catch: you also need more wins to recover, since moving back only 2 steps per win.
The Hidden Problem With Fibonacci
Players focus on slower bet growth. They miss the recovery issue.
Recovery Takes Longer
Martingale: one win recovers everything. Fibonacci: you need multiple wins to climb back down. If you're at position 8 and win, you drop to position 6 — still betting $80, not $10.
| Scenario | Martingale | Fibonacci |
|---|---|---|
| Losses to reach crisis | 6-7 | 10-12 |
| Wins to fully recover | 1 | 5-6 |
| Net outcome | All or nothing | Slow grind both ways |
Fibonacci spreads the pain thinner but longer. Martingale concentrates it into one brutal moment.
When Fibonacci Makes Sense
Despite the math, some situations favor Fibonacci over alternatives:
| Use Fibonacci When | Avoid Fibonacci When |
|---|---|
| You want longer sessions | You need quick profit |
| Table limits are low | Table limits are high |
| Bankroll is limited | Bankroll is large |
| You can't handle big swings | You're comfortable with variance |
Optimal Fibonacci Settings
Base Bet: 0.5-1% of Bankroll
With $500, bet $2.50-$5. Fibonacci needs room to climb. Higher base bets hit walls faster.
Stop-Loss: Position 10
If you reach position 10 (betting 55x base), something has gone wrong. Cut your losses.
Session Limit: 50-100 Rounds
The longer you play, the more likely you'll hit a bad streak. Set a round limit, not just a money limit.
Fibonacci vs Other Systems
| System | Aggression | Avg Survival | Best For |
|---|---|---|---|
| Martingale | Highest | 47 rounds | Quick win or bust |
| Fibonacci | High | 89 rounds | Moderate progression |
| D'Alembert | Medium | 156 rounds | Slow and steady |
| Paroli | Low | 203 rounds | Riding streaks |
Share Your Fibonacci Results
Run a simulation? Post your results in the community forum. Compare how far up the sequence you climbed and discuss recovery patterns — based on real data.
Frequently Asked Questions
Is Fibonacci better than Martingale?
For bankroll preservation, yes. Fibonacci's slower progression means sessions last nearly twice as long. But recovery takes longer too — you need multiple wins to climb back down the sequence. Neither beats the house edge.
Is this Fibonacci calculator free?
Yes. This Fibonacci betting system simulator is 100% free with no signup required.
How does the Fibonacci betting sequence work?
Bet using the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...). After a loss, move one step right. After a win, move two steps left. Your bet equals base bet times the current sequence number.
What happens after 10 losses with Fibonacci?
After 10 consecutive losses, you've wagered about $1,420 (with $10 base bet) and your next bet is $550. Compare to Martingale's $10,230 wagered and $5,120 next bet. Fibonacci is gentler but still painful.
Can Fibonacci guarantee profits?
No. Our simulation of 10,000 sessions showed a 61% ruin rate. Fibonacci slows down losses but doesn't eliminate them. The house edge wins long-term regardless of which sequence you use.