Betting systems · Fibonacci calculator · checked 5 October 2026

Fibonacci Roulette Strategy: The System Explained and Tested

The Fibonacci strategy sets each bet from the sequence 1, 1, 2, 3, 5, 8, 13: one step along after a loss, two steps back after a win. Get back to the start and every loss in that run has been won back, which is why it finished ahead in 74% of our test sessions. It still lost money on average, because the runs that don’t come back cost a lot. Here’s how it works, the betting chart and the exact odds.

Written and reviewed by Mark Taylor · Updated 5 October 2026 · UK-licensed casinos only

Try the Fibonacci calculator See the betting chart

74%Of our test sessions finished ahead (£100 bankroll, £1 unit, 100 spins)

23%Of the same sessions ran out of money

−£5.78Average result per session in the same test

2.70%House edge on a standard single-zero wheel, whatever the system

Quick answer

What Is the Fibonacci Roulette Strategy?

The Fibonacci strategy is a negative progression for even-money bets. Your bets follow the Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, 21 and so on, in units: one step along after a loss, two steps back after a win. Each number is the two before it added together, so one win pays back the two losing bets before it. Bets rise much more slowly than with Martingale, but from step 4 on, one win no longer clears the run.

Lose: +1

One step along

£1, £1, £2, £3, £5, £8: each loss moves you to the next number.

Win: −2

Two steps back

A win pays back the two bets before it. From step 1, 2 or 3, it takes you back to the start.

Step 1: level

Back at the start

Every loss in the run has been won back, and each win on step 1 is one unit of profit.

−1

How far behind are you? Look at the next number in the sequence and take away one. On step 6 you’re betting 8, the next number is 13, so you’re 12 units behind on this run. It works at every step, however the run has gone.

How it works

How to Play the Fibonacci System in 4 Steps

Pick an even-money betRed or black, odd or even, or 1–18 or 19–36, on a single-zero table if you can.
Start on the first 1Choose a unit, say £1, and bet one unit. Every bet is a number from the sequence times your unit.
Lose: one along. Win: two backAfter a loss, bet the next number. After a win, go back two numbers, but never past the first 1.
Know where you’ll stopDecide your bankroll before you start. With £100 at £1, the £55 bet on step 10 is out of reach.

Betting chart

Fibonacci Betting Chart: Your Bet and What’s at Stake

Every step has a fixed bet and a fixed amount you’re behind on the run, whatever happened before. A win drops you back two steps, a loss moves you one step on. The last column is the chance a 100-spin session ever asks you for that bet.

StepBetBehind before itWin itLose itReached in 100 spins

Step 1£1Level£1 up, stay on step 1£1 behind, step 2Every session

Step 2£1£1Level, back to step 1£2 behind, step 399.9%+

Step 3£2£2Level, back to step 1£4 behind, step 499.9%+

Step 4£3£4£1 behind, step 2£7 behind, step 599.9%+

Step 5£5£7£2 behind, step 3£12 behind, step 698.6%

Step 6£8£12£4 behind, step 4£20 behind, step 789.5%

Step 7£13£20£7 behind, step 5£33 behind, step 871.7%

Step 8£21£33£12 behind, step 6£54 behind, step 951.8%

Step 9£34£54£20 behind, step 7£88 behind, step 1035.2%

Step 10£100 runs out£55£88£33 behind, step 8£143 behind, step 1123.0%

Step 11£89£143£54 behind, step 9£232 behind, step 1214.7%

Step 12£144£232£88 behind, step 10£376 behind, step 139.3%

£1 a unit on a European wheel. For any other unit, multiply: at £5, step 10 is a £275 bet with £440 already behind. “Reached in 100 spins” is the chance the sequence calls for that bet at least once in 100 spins, if your money never runs out. With £100 at £1, step 10 is where you stop.

Fibonacci betting chart for a £1 unit: steps 1 to 10 with bets of £1, £1, £2, £3, £5, £8, £13, £21, £34 and £55, how far behind you are before each, and a £100 bankroll running out before step 10 — The first 10 steps at £1, with how far behind you are before each bet. Tap to enlarge.

Worked example

Fibonacci in Practice: 10 Spins With a £2 Unit

Here’s Fibonacci over 10 spins, betting on red with a £2 unit. Zero counts as a loss. Underneath, you can see how flat betting, as in our Masse Égale guide, and Martingale did on exactly the same spins.

SpinNumberNo.StepBetTotalNext

1321£2+£2£2, step 1

2151£2£0£2, step 2

302£2−£2£4, step 3

443£4−£6£6, step 4

5214£6£0£2, step 2

6262£2−£2£4, step 3

7133£4−£6£6, step 4

824£6−£12£10, step 5

9295£10−£22£16, step 6

10196£16−£6£6, step 4

Fibonacci£6 downIts biggest bet was £16, and it was £22 down after spin 9. Two wins in a row would take it back to step 1, £2 up.

Flat betting£8 downIt never bet more than £2, and the worst it got was £10 down.

Martingale£6 upBut it had to bet £32 on the last spin, and it was £26 down after spin 9.

Fibonacci tracker

Fibonacci Tracker: Your Next Bet, Spin by Spin

Playing along? Pick your unit, then tap Won or Lost after each spin. You’ll see your next bet, how far behind you are on the run and how many wins in a row would get you back to the start. It doesn’t predict anything: each spin still gives red an 18 in 37 chance, or 18 in 38 on an American wheel.

Your unit

Your next bet£1Step 1

Running total: £0
Behind on this run: Level
Wins to get back to step 1: At the start
Biggest bet so far: None yet

Start with £1 on step 1.

Your results will show here

Zero counts as a loss, so tap Lost. The tracker shows your last 12 results, but the totals count every spin. Nothing is saved when you leave the page.

Fibonacci calculator

Fibonacci Calculator: Your Odds Over a Whole Session

Set your bankroll, unit, session length and wheel. You’ll see your exact chance of finishing ahead or running out of money, the average cost and the range of results, for Fibonacci and for betting the same amount flat.

Bankroll

UnitSessionWheel

FibonacciOne step along after a loss, two back after a win

Finished ahead73.8%

Ran out of money: 23.0%
Average result: −£5.79
Average total bet: £214.27
9 in 10 sessions end between: −£85 and +£28

Flat bettingThe same bet every spin

Finished ahead35.5%

Ran out of money: 0.0%
Average result: −£2.70
Average total bet: £100.00
9 in 10 sessions end between: −£20 and +£14

Fibonacci finishes ahead more often than flat betting: 73.8% against 35.5%. But it bets more in total, £214.27 against £100.00 on average, so it loses more: £5.79 against £2.70.

With £100 and a £1 unit, nine losses in a row would stop you: you’d be £88 down with £12 left, and the next bet would be £55.

Exact odds, worked out spin by spin rather than simulated, so they can differ slightly from our test results, such as −£5.79 here against −£5.78 in the test. A session stops when the next bet is more than the money you have left, as in our test. Even-money bets; zero (and 00 on the American wheel) counts as a loss, with no La Partage. Table limits are ignored.

Fibonacci v Martingale

Fibonacci v Martingale: The Same Losing Run

Fibonacci’s bets climb far more slowly: after nine losses in a row at £1, your next bet is £55, against £512 with Martingale. The catch is what a win does. One Martingale win pays back the whole run plus £1. One Fibonacci win only pays back the two bets before it, so after nine losses you’re still £33 behind and need four more wins in a row.

AfterFibonacci next betFibonacci behindMartingale next betMartingale behindAfter one Fibonacci win

3 losses£3£4£8£7£1 behind

5 losses£8£12£32£31£4 behind

7 losses£21£33£128£127£12 behind

9 losses£55£88£512£511£33 behind

12 losses£233£376£4,096£4,095£143 behind

£1 starting bet, losses in a row from the start. After one win, Martingale is £1 up whatever the run. In our test, Fibonacci ran out of money in 23% of sessions and Martingale in 50%. See how doubling up plays out in our Martingale guide.

Test results

Fibonacci v Other Systems: Our 800,000-Session Test

Fibonacci finished ahead more often than any other system we tested, 74% of sessions, yet it still lost £5.78 per £100 session on average. Sessions that didn’t run out of money finished ahead 95.8% of the time and averaged +£16.22. The 23% that did run out averaged −£79.55, which wiped out the small wins. Like every system, it lost close to £2.70 for every £100 it bet.

SystemAverage resultFinished aheadRan out of moneyAverage total betBiggest bet

Fibonacci−£5.7874%23%£215£34

Masse Égale (flat)−£2.7235%0%£100£1

Paroli−£4.5938%0%£169£4

Martingale−£6.2649%50%£233£64

D’Alembert−£12.5955%30%£464£16

100,000 sessions per system, each with £100 and a £1 starting bet on red, for up to 100 spins on a European wheel. A session stopped if the next bet was more than the money left. “Biggest bet” is the most that 99 in 100 sessions ever bet on one spin. The split between sessions that did and didn’t run out of money is worked out exactly for the same set-up. All eight systems we tested are in our roulette strategy guide.

Zero

What Happens to the Fibonacci Sequence When Zero Lands?

On a European wheel, zero is just a loss: move one step along. On an American wheel, 0 and 00 both lose, so losing runs come more often. At £1 with £100, the chance of reaching the £55 bet in 100 spins rises from 23.0% to 27.7%, and the calculator’s average loss roughly doubles, from £5.79 to £11.74.

WheelZero meansHouse edge, even-money betsCost per £100 bet

European, one zeroA loss: move one step along2.70%£2.70

French, with La PartageHalf your bet back on even-money bets1.35%£1.35

American, 0 and 00Both are losses: one step along5.26%£5.26

La Partage doesn’t fit the sequence neatly, because a half loss is neither a win nor a loss. The simplest rule is to treat it as a loss and move one step along, knowing you’re half a bet better off than the chart says. See how even-money bets work in our even-money bet guide.

UK rules

Playing Fibonacci at a UK Casino

No Gambling Commission rule bans betting systems, though bonus terms sometimes do. These are the rules that shape how you play the Fibonacci system at a UK-licensed casino.

Since January 2025

No autoplay

Autoplay is banned, so you place every bet in the sequence yourself. A repeat or rebet button still needs a tap each spin.

Since January 2025

At least 5 seconds a spin

An online roulette game can’t start a new spin within 5 seconds of the last one starting.

Since January 2025

Your spend on screen

Games show your net spend and how long you’ve been playing, so you can see what a losing run is costing.

Since October 2025

A limit before you deposit

New customers are asked to set a financial limit, such as a deposit limit, before their first deposit. Set it with your bankroll in mind.

Where to play

Where to Try the Fibonacci System Online

Four UK-licensed casinos where we’ve timed a real withdrawal. Each time is one test on a verified account, so yours may differ. Pick a single-zero table whose maximum bet covers the biggest bet your bankroll allows.

Play KasinoSkill On Net · UKGC 39326

Our payout test£644 to PayPal in 36 minutes

Tested 29 September 2026, from asking for the money to it landing.

Visit Play KasinoVisit

PlayOJOSkill On Net · UKGC 39326

Our payout test£150 to PayPal in 1 hour 47 minutes

Tested June 2026, from asking for the money to it landing.

Visit PlayOJOVisit

21PriveWhite Hat Gaming · UKGC 52894

Our payout test£100 to Neteller in 2 hours 20 minutes

Tested June 2026, from asking for the money to it landing.

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Swift CasinoSkill On Net · UKGC 39326

Our payout test£200 to a Visa debit card within 24 hours

Tested June 2026, from asking for the money to it landing.

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18+. T&Cs apply. Affiliate links. UK-licensed casinos only. Play responsibly.

Good to know

Fibonacci Roulette Strategy FAQs

What is the Fibonacci roulette strategy?

It’s a betting system for even-money bets that uses the Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, 21 and so on, as your bets in units. After a loss you move one number along, and after a win you move two numbers back. It’s a negative progression like Martingale, but the bets rise much more slowly.

How does the Fibonacci betting sequence work?

Each number is the two before it added together: 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, and so on. That’s why a win sends you back two steps: it pays for the two losing bets before it. On step 1, 2 or 3, a win takes you back to the start.

Does one win recover all your losses?

Only on step 2 or 3, where one win takes you back to the start, level. From step 4 on, a win pays back just the two bets before it. After nine losses in a row at £1 you’re £88 down, and a £55 win still leaves you £33 down, with four more wins in a row needed to get back to the start. Once you’re back on step 1, every loss in that run has been won back.

Does the Fibonacci strategy work?

Not as a way to beat roulette. Every bet carries the house edge, 2.70% on a single-zero wheel, and no system changes that. In our test of 100,000 Fibonacci sessions it finished ahead 74% of the time but still lost £5.78 per £100 session on average, because the 23% of sessions that ran out of money lost heavily.

Is Fibonacci better than Martingale?

Its bets grow much more slowly, so it runs out of money less often: 23% of our test sessions against 50% for Martingale. It also lost a little less on average, £5.78 against £6.26. The trade-off is that one Martingale win clears a losing run, while Fibonacci often needs several.

How much money do you need for the Fibonacci system?

It depends how many losses in a row you want to cover. At £1 a unit, £20 covers six, £100 covers nine and £1,000 covers 14. Each extra step costs more than the last: covering 15 would take £1,596.

Should you start on the first 1 or the second?

Either works. Starting on the first 1 is the standard version, and the one on this page. Start on the second and your bets go 1, 2, 3, 5, 8, so a loss followed by a win puts you a unit up instead of level. It doesn’t change the odds or the house edge.

What happens to the Fibonacci sequence when zero lands?

On a European wheel, zero is a loss, so you move one step along. On an American wheel, 0 and 00 both count as losses. With La Partage on a French table you get half your bet back. There’s no standard rule for that, so the simplest is to treat it as a loss and move one step along anyway.

Is there a Fibonacci roulette calculator?

Yes, two on this page. The tracker gives your next bet as you play, and the calculator shows your exact chance of finishing ahead or running out of money over a whole session.

Can I use autoplay for the Fibonacci system?

Not at a UK-licensed online casino. Autoplay has been banned since January 2025, so you place each bet yourself.

Our method

How We Checked This Guide

What we checked

The betting chart, the reach odds and the calculator are exact, worked out from the wheel’s odds rather than simulated, and the 10-spin example can be checked line by line. The test results come from our 800,000-session simulation, the same one behind our strategy guide. The UK rules come from the Gambling Commission, checked on 5 October 2026.

Written and reviewed by Mark Taylor.

Sources

Keep reading

More Roulette Systems

Roulette strategies30 systems compared, 8 tested. MartingaleWhy doubling up after a loss fails. Reverse MartingaleParoli: double after a win instead. Masse ÉgaleThe same stake every spin. D’AlembertOne unit up after a loss, one down after a win. Roulette simulatorTry a system spin by spin with practice credits.