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AuthorEvgeniy Volkov
PublishedFeb 02, 2026
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Fibonacci Betting System: Complete Guide & Calculator (2026)

Fibonacci Betting System: Complete Guide & Calculator (2026)

fibonacci betting systemfibonacci betting strategyfibonacci calculatorfibonacci roulettefibonacci sports bettingnegative progression betting
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Fibonacci Betting System: The Complete Guide

Picture this: You're at the roulette table, down $150 after a brutal losing streak. Your gut says "double down and win it all back" — but your brain knows that's exactly how people lose their rent money.

What if there was a middle ground? A system that recovers losses gradually, without betting your entire bankroll on a single spin?

That's the Fibonacci betting system. Named after the 13th-century Italian mathematician who discovered a sequence in everything from seashells to stock markets, this strategy has been used by gamblers for centuries. It won't make you rich (spoiler alert: nothing will), but it will give your betting sessions structure, discipline, and a fighting chance against tilt.

By the end of this guide, you'll understand exactly how Fibonacci works, when to use it, and — just as importantly — when to walk away. Plus, I'll give you interactive tools to practice without risking a cent.

TL;DR — Quick Reference

No time for the full guide? Here's everything in 60 seconds:

SituationAction
StartBet 1 unit (first number in sequence)
After a LOSSMove to next number, bet that many units
After a WINMove back 2 numbers, bet that amount
Sequence1 → 1 → 2 → 3 → 5 → 8 → 13 → 21 → 34 → 55...
GoalReturn to start (recovered all losses + 1 unit profit)

Example with $10 base bet:

  • Bet 10,loseBet10, lose → Bet 10, lose → Bet 20,loseBet20, lose → Bet 30, WIN
  • After winning 30,moveback2stepsto30, move back 2 steps to 10
  • Continue until you've crossed out all losses

That's the system. Simple to learn, tricky to master. Let's break it down.

What Is the Fibonacci Sequence?

Before we talk betting, let's talk math — but don't worry, this is the fun kind.

In 1202, an Italian mathematician named Leonardo of Pisa (nickname: Fibonacci) published a book called Liber Abaci. In it, he posed a thought experiment about breeding rabbits. The answer led to one of the most famous number sequences in history:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

Each number is the sum of the two before it. Simple, right?

Here's what's wild: This sequence appears everywhere in nature:

  • The spiral of a nautilus shell
  • The arrangement of seeds in a sunflower
  • The branching of trees
  • Even the proportions of the human face

Why does this matter for betting? Because the sequence creates a specific progression pattern — one that grows slower than doubling (like Martingale) but still recovers losses over time.

Think of it like this: If Martingale is a sprint, Fibonacci is a marathon. You're not trying to win it all back in one bet. You're grinding through a series of smaller wins that eventually dig you out of the hole.

How the Fibonacci Betting System Works

Here's the step-by-step breakdown. I recommend reading this while trying the calculator below.

Step 1: Set Your Base Unit

Your base unit is the smallest bet you'll make. This should be 1-2% of your total bankroll.

Examples:

  • 500bankroll500 bankroll → 5-10 base unit
  • 1,000bankroll1,000 bankroll → 10-20 base unit
  • 5,000bankroll5,000 bankroll → 50-100 base unit

Rule: Never adjust your base unit mid-session. Pick a number and stick with it.

Step 2: Start at Position 1

The Fibonacci sequence for betting is: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...

Your first bet is 1 unit. If your base is 10,youbet10, you bet 10.

Step 3: After a Loss — Move Forward One Step

Lost the bet? Move to the next number in the sequence.

Example:

  • Position 1: Bet $10, LOSS
  • Position 2: Bet $10, LOSS (still 1 unit)
  • Position 3: Bet $20, LOSS
  • Position 4: Bet $30, LOSS
  • Position 5: Bet $50...

Notice how the bets grow slower than doubling? That's the Fibonacci advantage.

Step 4: After a Win — Move Back Two Steps

Here's where the magic happens. When you win, you don't reset completely. You move back TWO positions in the sequence.

Example continuing from above:

  • Position 5: Bet $50, WIN
  • Move back 2 steps to Position 3
  • Position 3: Bet $20, WIN
  • Move back 2 steps to Position 1
  • Position 1: Bet $10...

Step 5: Cycle Complete When You Return to Start

When you're back at position 1 and win, you've completed a successful cycle. At this point, you've recovered all your losses plus earned a small profit.

Pro tip: This is the moment to consider walking away. Don't give back what you just clawed back.

The Fibonacci Sequence in Action: Real Examples

Theory is nice. Let's see it work in practice with actual numbers.

Example 1: Roulette (Red/Black)

Setup:

  • Base unit: $10
  • Starting bankroll: $500
  • Bet type: Red (even money, ~48.6% win rate)
Bet #PositionBet AmountResultRunning P/L
11$10LOSS-$10
22$10LOSS-$20
33$20LOSS-$40
44$30WIN-$10
52$10WIN$0
61$10WIN+$10

Result: After 6 bets (3 losses, 3 wins), you're up $10. The sequence worked perfectly.

Example 2: Sports Betting (NFL Spread)

Setup:

  • Base unit: 11(towin11 (to win 10 at -110 odds)
  • Starting bankroll: $1,000
  • Bet type: Point spreads
Bet #PositionBet AmountResultRunning P/L
11$11LOSS-$11
22$11LOSS-$22
33$22WIN-$2
41$11LOSS-$13
52$11WIN-$3
61$11WIN+$7

Result: 3 wins, 3 losses, but you're still profitable. That's the power of the system.

Example 3: A Brutal Losing Streak

What happens when variance slaps you? Let's see:

Bet #PositionBet AmountSequence So FarRunning P/L
11$101-$10
22$101-1-$20
33$201-1-2-$40
44$301-1-2-3-$70
55$501-1-2-3-5-$120
66$801-1-2-3-5-8-$200
77$1301-1-2-3-5-8-13-$330

After 7 consecutive losses, you're down 330andyournextbetis330 and your next bet is 130. This is why bankroll management matters. If you started with only $300, you'd be forced to quit mid-sequence. For a complete breakdown of the odds of losing multiple hands in a row — including a probability table from 2 to 20 consecutive losses — see our dedicated streak guide. When influencers claim to have a mystery system that beats the house, compare it to transparent math like Fibonacci — we do exactly that in our analysis of Mikki Mase's mystery blackjack system.

The Math Behind Fibonacci Betting

For those who want to understand why it works (and why it doesn't beat the house):

Why Moving Back 2 Steps Works

When you win at position N, your profit is the sum of the two previous positions. Moving back 2 steps means your next bet exactly equals what you need to continue recovering.

Mathematical proof:

Fn=Fn1+Fn2F_n = F_{n-1} + F_{n-2}

When you win FnF_n and cross off positions Fn1F_{n-1} and Fn2F_{n-2}, you've recovered exactly those two amounts. The sequence is self-balancing.

Simple version: Each Fibonacci number equals the sum of the two before it. So winning one bet always recovers the previous two losses.

Why It Doesn't Beat the House

Every individual bet still has negative expected value. For roulette:

EV=P(win)×PayoutP(lose)×BetEV = P(win) \times Payout - P(lose) \times BetEV=0.486×10.514×1=0.027EV = 0.486 \times 1 - 0.514 \times 1 = -0.027

That's -2.7% on every spin. Fibonacci doesn't change this. Over infinite bets, you'll lose 2.7% of everything you wager.

What Fibonacci does: It changes how you experience variance. You'll have more small winning sessions and fewer catastrophic losses — until you hit that one devastating streak that wipes out months of progress.

For more on expected value, check our Expected Value guide.

Fibonacci vs Other Betting Systems

How does Fibonacci stack up against the competition? Let's compare:

SystemProgression After LossBet GrowthBankroll NeededRecovery Style
Fibonacci+1 step in sequenceModerate50-100x baseMultiple wins
MartingaleDouble betExponential128-256x baseSingle win
D'Alembert+1 unitLinear30-50x baseGradual
LabouchereAdd loss to sequenceVariable50-100x baseCross out numbers
Flat BettingNo changeNone20-30x baseNot designed to recover

Key insight: Fibonacci is the "Goldilocks" system — not as aggressive as Martingale, not as slow as D'Alembert. It's the middle ground that many players prefer.

For a detailed comparison, see our Labouchere Betting System guide.

Pros and Cons of Fibonacci Betting

Pros

1. Slower bet growth than Martingale

After 6 losses, Martingale has you betting 64 units. Fibonacci? Only 13 units. That's a massive difference in risk.

2. You don't need to win it all back in one bet

Multiple smaller wins recover your losses. This feels more achievable psychologically.

3. Easy to remember

1, 1, 2, 3, 5, 8... Most people can recall this in their sleep after a few sessions.

4. Provides structure

Instead of "I feel lucky, let's go bigger," you have rules. Rules prevent tilt. Tilt prevention saves money.

5. Works for multiple game types

Roulette, blackjack side bets, sports betting, baccarat — any even-money wager works.

Cons

1. Doesn't overcome the house edge

Long-term, you'll still lose. The math is undefeated.

2. Long losing streaks are dangerous

10 consecutive losses put your next bet at 89 units. At 10base,thats10 base, that's 890. On one bet.

3. Table limits can stop you

Most casinos cap bets at 500500-5,000. Hit that ceiling, and you're forced to abandon mid-sequence.

4. Requires significant bankroll

To survive a 10-loss streak (rare but possible), you need ~145 units. At 10base,thats10 base, that's 1,450 sitting at risk.

5. Recovery takes time

After deep losses, you might need 8-10 wins just to get back to even. That's a lot of grinding.

Fibonacci Betting Simulator

Want to see how Fibonacci performs over 100+ bets without risking real money? Try our simulator:

Run multiple simulations to see how variance affects outcomes. Notice how some runs end profitable while others bust out? That's the reality of any betting system.

Bankroll Management for Fibonacci

The #1 way players fail with Fibonacci: not having enough money to survive the inevitable losing streaks.

Minimum Bankroll Requirements

Base BetMinimum BankrollComfortable Bankroll
$5$250 (50x)$500 (100x)
$10$500 (50x)$1,000 (100x)
$25$1,250 (50x)$2,500 (100x)
$50$2,500 (50x)$5,000 (100x)

Why 50-100x Base?

The worst realistic losing streak (99th percentile) is about 10-12 consecutive losses. The sum of the first 12 Fibonacci numbers is 143 units. Add a buffer for continued play, and you need at least 50x. For peace of mind, 100x is better.

Stop-Loss Rules

Even with proper bankroll, set limits:

  1. Session stop-loss: Quit if down 30% of session bankroll
  2. Sequence stop-loss: Abandon if sequence exceeds 10 steps
  3. Win target: Quit if up 20-30% of session bankroll

These rules sound boring. They're also the difference between recreational gambling and financial ruin. And if you're tracking losses for tax purposes, make sure you understand the new tax law on gambling losses — the 2026 rules changed how deductions work.

Calculate your optimal bankroll using our Bankroll Growth Calculator.

Common Mistakes (And How to Avoid Them)

Mistake #1: Starting Too High in the Sequence

Wrong: "I'm feeling unlucky today, let me start at step 5"

Right: Always start at step 1. The sequence is designed to work from the beginning.

Mistake #2: Betting on Bad Odds

Wrong: Using Fibonacci on parlays, props, or long shots

Right: Stick to even-money bets only. Use our Odds Converter to check.

Mistake #3: Ignoring Table Limits

Wrong: Starting with 50betsatatablewith50 bets at a table with 500 max

Right: Calculate worst-case scenario. At 50base,step10requires50 base, step 10 requires 2,750 — way over most limits.

Mistake #4: Chasing After the System Fails

Wrong: "I'll just switch to Martingale to win it back faster"

Right: Accept the loss. The system failed this time. Tomorrow is another day.

Mistake #5: Playing Without a Stop-Loss

Wrong: "I'll play until I'm back to even"

Right: Set a hard limit. Even Fibonacci can have catastrophic sessions.

Mistake #6: Using Winnings as Bankroll

Wrong: "I won 200,nowIcanbet200, now I can bet 20 base!"

Right: Separate winnings from bankroll. Your base bet is fixed.

For more risk analysis, check our Risk of Ruin Calculator.

When to Use (and Not Use) Fibonacci

Good Fit

  • Roulette — Red/black, odd/even (48.6% win rate)
  • Sports betting — Point spreads at -110 (~47.6% implied)
  • Blackjack — Even-money side bets
  • Baccarat — Banker or Player (close to 50%)

Bad Fit

  • Parlays — Win rate too low
  • Slot machines — Not even-money
  • Poker — Skill game, not suited for systems
  • Lottery — Just... no
  • Keno — Lottery-style payouts with massive house edge; why flat betting beats systems in keno comes down to the same math that makes all progressions fail against high-edge games. Even higher-RTP variants like Caveman Keno (91-94% RTP) can't be beaten by progressive systems

Who Should Use Fibonacci?

  • Players who want structure without Martingale's aggression
  • People prone to tilt who need mechanical rules
  • Mid-bankroll players (500500-5,000)
  • Anyone who enjoys the "grind" of slow recovery

Who Should Avoid It?

  • Players with small bankrolls (under $300)
  • Those who can't walk away mid-sequence
  • Anyone expecting to "beat" the casino
  • Impatient players who hate grinding

Fibonacci for Different Games

Roulette

The classic application. Bet on red/black, odd/even, or high/low. Win rate is 48.6% (European) or 47.4% (American).

Pro tip: Always play European roulette. The single zero vs double zero saves you 2.6% house edge. If you want to win more often but accept smaller profits, the 24+8 roulette number coverage system covers 32 of 37 numbers per spin — an 86% win rate vs Fibonacci's ~49% on even-money bets.

Sports Betting

Works well with spreads and totals. The -110 standard odds give you 47.6% implied probability. See how progressive bet sizing compares to NFL situational systems that target specific game conditions for an edge. For spread bettors, alternate spreads offer another way to adjust your risk-reward ratio — you can move the line in your favor and apply Fibonacci to the adjusted odds. See the full alt points betting guide for how alt spreads, totals, and props work together. If you're betting NBA specifically, our NBA betting system guide breaks down how to pair Fibonacci sizing with systematic team selection.

Pro tip: Combine Fibonacci bet sizing with value betting for selection. Use our Value Bet Calculator to find edges.

Blackjack

Only use Fibonacci for even-money side bets or the main game if you're playing basic strategy perfectly. For side bets like Match the Dealer, flat betting is better since they resolve in a single round.

Pro tip: The house edge on blackjack main bet is only 0.5% with perfect basic strategy — much better than roulette. Seek out card Charlie rules in blackjack for an additional 0.16% edge reduction. High rollers like Dana White don't use progressions — see his actual approach and why flat betting at VIP tables beats any system.

Baccarat

Banker bet has 1.06% house edge, Player has 1.24%. Both are excellent for Fibonacci.

Pro tip: Avoid the Tie bet (14.4% house edge). It will destroy any system.

Final Thoughts: Is Fibonacci Worth It?

Let me be real: The Fibonacci betting system won't make you rich.

No system will. The house edge exists, and over infinite bets, the casino always wins. Anyone who tells you otherwise is selling something.

But here's what Fibonacci will do:

  1. Give you a plan before you sit down
  2. Prevent emotional "chase" betting
  3. Create smaller, more frequent wins (psychologically satisfying)
  4. Force you to think about bankroll management
  5. Make your gambling sessions more intentional

Is that worth it? For many players, absolutely yes. The difference between a disciplined gambler and a broke one isn't luck — it's having a system and sticking to it.

Try the calculator at the top of this page. Run a few simulations. See how it feels to bet with a plan instead of impulse.

And remember: the best bet you can make is one you can afford to lose.


Want to explore more betting strategies?

Frequently Asked Questions

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Evgeniy Volkov

Evgeny Volkov

Verified Expert
Math & Software Engineer, iGaming Expert

Over 10 years developing software for the gaming industry. Advanced degree in Mathematics. Specializing in probability analysis, RNG algorithms, and mathematical gambling models.

Experience10+
SpecializationiGaming
Status
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