Fibonacci Betting System Calculator
Calculate Fibonacci betting progression and analyze bankroll requirements
Fibonacci Calculator
Calculate your betting progression and assess bankroll requirements for the Fibonacci system.
Fibonacci Analysis
What is the Fibonacci Betting System?
The Fibonacci betting system is a negative progression strategy based on the famous Fibonacci sequence from mathematics. Unlike the aggressive Martingale system, Fibonacci increases bets more slowly, making it appear safer. However, it still cannot overcome the house edge and carries substantial risk during extended losing streaks.
The Fibonacci Sequence
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233...
How it works:
- Each number is the sum of the previous two: F(n) = F(n-1) + F(n-2)
- After a loss: Move one step forward in the sequence
- After a win: Move two steps back in the sequence
- Goal: Return to the beginning and lock in profit
Example: Start with $10 bet (1st position). After 3 losses, you're at $30 (4th position). A win moves you back to $10 (2nd position).
Betting System Comparison
Martingale System
Best For: Short sessions only
Risk Level: Very High
Progression: Double after every loss (2, 4, 8, 16, 32...)
Pros: Fast recovery on win
Most aggressive system - bet 5 reaches $160 vs Fibonacci's $50
Fibonacci System
Best For: Conservative negative progression
Risk Level: High
Progression: Follow Fibonacci sequence (1, 1, 2, 3, 5, 8...)
Pros: Slower bet growth than Martingale
Moderate aggression - still dangerous during long losing streaks
Flat Betting
Best For: Long-term sustainability
Risk Level: Low to Moderate
Progression: Same bet every time
Pros: Predictable, no bankroll spikes
Most mathematically sound - accepts house edge rather than fighting it
Critical Risks of the Fibonacci System
Cannot Beat House Edge
Every bet still has negative expected value. The Fibonacci sequence is just a betting pattern - it does not change the mathematical reality that the house has an edge on every single wager.
Bankroll Depletion
Despite slower growth than Martingale, the 10th bet in the sequence is 55x your base bet. A $10 base bet becomes $550, requiring over $1,400 total to reach that point.
Table Limits Block Recovery
Most casino tables have maximum bets (typically $500-$5,000). Once you hit the limit during a losing streak, you cannot continue the sequence and losses become unrecoverable.
Losing Streaks Are Common
Even at 48.6% win rate (roulette red/black), you have a 7.8% chance of 8 consecutive losses. That is roughly 1 in 13 sessions - far more frequent than most players expect.
Best Use Cases vs Common Mistakes
If You Must Use Fibonacci
- Only use on even-money bets (roulette red/black, baccarat)
- Have at least 100x your base bet in bankroll
- Set a maximum loss limit (e.g., 20% of bankroll)
- Walk away after 2-3 wins to lock in profit
- Never borrow money or increase base bet after losses
- Understand this is entertainment, not an income strategy
Common Mistakes to Avoid
- Using on low-probability bets (slots, single numbers)
- Insufficient bankroll (less than 50x base bet)
- No stop-loss limit or ignoring your limit
- Chasing losses by increasing base bet mid-session
- Believing the system "beats" the casino mathematically
- Treating this as investment or income generation
Real-World Fibonacci Progression Examples
Example 1: Conservative Play ($10 Base, 6 Losses)
Sequence: $10, $10, $20, $30, $50, $80
Total Wagered: $200
Probability at 48.6% win rate: 1.8% (1 in 56 sessions)
Bankroll Needed: Minimum $500 (5x total wagered)
Example 2: Moderate Risk ($10 Base, 10 Losses)
Final Bet: $550 (55th Fibonacci number)
Total Wagered: $1,430
Probability at 48.6% win rate: 0.07% (1 in 1,396 sessions)
Bankroll Needed: Minimum $3,000+ recommended
Example 3: Dangerous Territory ($10 Base, 12 Losses)
Final Bet: $1,440 (144th Fibonacci number)
Total Wagered: $3,760
Probability: 0.008% (1 in 12,195) but will happen
Reality: Table limit likely reached; losses unrecoverable
Professional Tips for Fibonacci Betting
Set Strict Loss Limits
Decide before playing the maximum number of steps you'll follow (e.g., 8-10 steps). When you reach that limit, stop immediately regardless of your position in the sequence.
Use Tiny Base Bets
Start with the smallest possible base bet (e.g., $1-$5) to extend your playing time and reduce bankruptcy risk. A $5 base bet is infinitely safer than a $25 base bet.
Understand Table Limits
Before playing, calculate how many Fibonacci steps you can take before hitting the table maximum. A $500 max table limits you to about 7-8 steps with a $10 base bet.
Track Your Sessions
Keep a log of every session including starting bankroll, base bet, longest streak, and profit/loss. Most players underestimate how often they hit dangerous streaks.
Consider Flat Betting Instead
Mathematically, flat betting (same bet every time) has the exact same expected value as Fibonacci with far less variance. It is objectively safer for your bankroll.
Never Double Your Base Bet
Increasing your base bet after losses (e.g., $10 to $20) turns Fibonacci into an even more dangerous system. Stick to your original base bet or quit playing.
Frequently Asked Questions
What is the Fibonacci betting system?
The Fibonacci betting system is a negative progression strategy where you increase bets following the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...) after losses and move back two steps after wins. It is less aggressive than Martingale but still carries significant risk.
How does the Fibonacci sequence work in betting?
After each loss, move one step forward in the sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55...). After a win, move two steps back. Each number is the sum of the previous two numbers. You start at the first number and aim to return to the beginning.
Is the Fibonacci system profitable in the long run?
No. The Fibonacci system cannot overcome the house edge in casino games. While it is less risky than Martingale, you still face negative expected value on every bet. Long losing streaks can deplete your bankroll quickly despite slower progression.
What games work best with the Fibonacci system?
The Fibonacci system is designed for even-money bets like roulette (red/black), baccarat (player/banker), and blackjack. These games have close to 50% win probability, which the system requires. Avoid using it on slots or games with lower win rates.
How much bankroll do I need for Fibonacci betting?
You need a substantial bankroll to survive losing streaks. For a $10 base bet and 10 consecutive losses, you would need $550 total. Most experts recommend having at least 100x your base bet, though even this may not be enough during extended losing streaks.
What are the main risks of the Fibonacci betting system?
The main risks include rapid bankroll depletion during losing streaks, hitting table limits before recovery, the inability to overcome house edge, and the psychological stress of increasingly large bets. Even with slower progression than Martingale, ruin is still highly probable.