With $20
$1 units cover 6 losses ($20 exactly), then $13 is needed with nothing left. In our test, $20 grew to $30 in 55.1% of sessions.
Fibonacci strategy guide · Updated October 2026
Fibonacci Roulette Strategy: Calculator, Betting Chart and Odds
The Fibonacci system bets along the sequence 1, 1, 2, 3, 5, 8, 13: one step up after a loss, two steps back after a win. Enter your unit and bankroll to see how far a losing run can go, where one win leaves you, and how often 10,000 Fibonacci sessions reach your goal.
With $1 units and $100, Fibonacci covers 9 losses in a row, against 6 for Martingale. In our test it reached $150 in 48.2% of sessions, almost exactly as often as Martingale, and lost more on average because it bets more in total.
- Free Fibonacci calculator
- 10,000 sessions per run
- Real table limits from 8 casinos
We earn a commission if you sign up through our casino links. It doesn't change the numbers: every figure on this page is calculated or simulated from the wheel's real odds.
Fibonacci Calculator: Test Your Bankroll
See how far a losing run goes, where one win leaves you, and how often 10,000 sessions reach your goal. Change any number and it updates.
Unit (first bet)
Bankroll
Stop when you're up
Bets on red or black. The losing-run figures are exact; the session odds come from 10,000 sessions played in your browser, up to 1,000 spins each.
With $100 and $1 units, Fibonacci covers 9 losses in a row ($88). Bet 10 would be $55, with $12 left.
Losses in a row
9
then your bankroll runs short (about 1 in 403 runs)
Reached the goal
48.2%
of sessions reached $150
Ran short
51.8%
couldn't place the next bet
Average result
−$12.81
per session, on $475 bet
Gold: Fibonacci's bets. Gray: what Martingale would bet. Red: the bet you can't place. Tap a bar for details.
| Bet | Stake | Total lost | Win here | Next bet |
|---|---|---|---|---|
| 1 | $1 | $1 | +$1 | $1 |
| 2 | $1 | $2 | Level | $1 |
| 3 | $2 | $4 | Level | $1 |
| 4 | $3 | $7 | −$1 | $1 |
| 5 | $5 | $12 | −$2 | $2 |
| 6 | $8 | $20 | −$4 | $3 |
| 7 | $13 | $33 | −$7 | $5 |
| 8 | $21 | $54 | −$12 | $8 |
| 9 | $34 | $88 | −$20 | $13 |
| 10 | $55 | Can't place it: $12 left | ||
With $1 units. Total lost: if this bet loses too. Win here: where the run stands if this bet wins, and the next bet.
In our test, the biggest single bet was $55. Every dollar bet on a European wheel loses 2.70 cents on average, whatever the progression.
Tables that fit your Fibonacci
Single-zero live tables that take a $1 bet and go up to at least $34, so your bankroll runs out before the table limit does.
-
MyBookie12 of 13 tables fit · $0.10 to $10,000
Play now
-
Wild Casino6 of 11 tables fit · $0.50 to $12,500
Play now
-
BetUSAll 3 tables fit · $0.50 to $12,500
Play now
From the limits posted on each casino's live tables, checked October 2026. The limit on red or black can be lower than the table maximum. Compare limits at 8 sites
The rules
How the Fibonacci Betting System Works
The Fibonacci sequence starts 1, 1, and each number after that is the two before it added together: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. In roulette, each number is a bet size in units, played on an even-money bet such as red, black, odd, even, 1–18 or 19–36.
It's a negative progression like Martingale, so bets rise after losses. The difference is the pace: Fibonacci climbs gently at first, and a win only takes you two steps back instead of resetting the run. That makes losing runs cheaper, and recoveries slower.
Start at the first 1
Pick a unit, the size of one step, and bet one unit on an even-money bet. Most players use the table minimum.
Lose: one step forward
After a loss, bet the next number in the sequence: 1, 1, 2, 3, 5, 8 units, and so on.
Win: two steps back
After a win, go back two numbers, but never before the first 1. Win at 5 units and your next bet is 2.
- Losssame−1
- Loss+1−2
- Loss+1−4
- Loss+2−7
- Win−3−2
- Win−10
- Winsame+1
- Losssame0
- Winsame+1
- Winsame+2
Bets in units on an even-money bet: one step along 1, 1, 2, 3, 5 after a loss, two steps back after a win. Four losses cost 7 units; it took three wins to clear them.
A $1 Fibonacci run, step by step
Four losses, then a win. Watch the running total.
- Bet 1$1Loses · −$1
- Bet 2$1Loses · −$2
- Bet 3$2Loses · −$4
- Bet 4$3Loses · −$7
- Bet 5$5Wins · −$2
The $5 win doesn't clear the $7 lost; you're still $2 down. You move two steps back and bet $2. Win that and you're level, back at $1. Win again and you're $1 up. With Martingale, that same first win would have put you $1 ahead straight away, but the bet would have been $16, not $5.
Fibonacci chart
Fibonacci Betting Chart
Every bet in a losing run with $1 and $5 units, what one win at that bet leaves you with, and the chance of losing that many in a row on red.
| Bet | $1 units: stake | $1 units: total lost | $5 units: stake | If this bet wins | Chance this bet loses too |
|---|---|---|---|---|---|
| 1 | $1 | $1 | $5 | +1 unit, next bet 1 | 51.4% (1 in 2) |
| 2 | $1 | $2 | $5 | Level, next bet 1 | 26.4% (1 in 4) |
| 3 | $2 | $4 | $10 | Level, next bet 1 | 13.5% (1 in 7) |
| 4 | $3 | $7 | $15 | −1 unit, next bet 1 | 7.0% (1 in 14) |
| 5 | $5 | $12 | $25 | −2 units, next bet 2 | 3.6% (1 in 28) |
| 6 | $8 | $20 | $40 | −4 units, next bet 3 | 1.8% (1 in 55) |
| 7 | $13 | $33 | $65 | −7 units, next bet 5 | 0.94% (1 in 106) |
| 8 | $21 | $54 | $105 | −12 units, next bet 8 | 0.48% (1 in 207) |
| 9 | $34 | $88 | $170 | −20 units, next bet 13 | 0.25% (1 in 403) |
| 10 | $55 | $143 | $275 | −33 units, next bet 21 | 0.13% (1 in 784) |
| 11 | $89 | $232 | $445 | −54 units, next bet 34 | 0.065% (1 in 1,527) |
| 12 | $144 | $376 | $720 | −88 units, next bet 55 | 0.034% (1 in 2,974) |
| 13 | $233 | $609 | $1,165 | −143 units, next bet 89 | 0.017% (1 in 5,792) |
| 14 | $377 | $986 | $1,885 | −232 units, next bet 144 | 0.009% (1 in 11,279) |
| 15 | $610 | $1,596 | $3,050 | −376 units, next bet 233 | 0.005% (1 in 21,965) |
"If this bet wins" assumes every bet before it lost. "Chance this bet loses too" is the chance of losing that many in a row from the start, on a European wheel (19 losing pockets out of 37).
The formula behind the chart
The total lost after n losses is one less than the Fibonacci number two places further on: after 8 losses, 55 − 1 = 54 units. The next bet is the number after the last one you lost.
One win isn't enough
A win at bet n leaves you down by the bet two places before it, minus one unit. Win the 10th bet ($55) after nine losses and you're still $33 behind, with $21 to bet next.
Head to head
Fibonacci vs Martingale
The same losing run, two systems, $1 units. Fibonacci's bets grow by about 60% a step; Martingale's double.
4 losses in a row
- Martingale$16
- Fibonacci$5
- D'Alembert$5
6 losses in a row
- Martingale$64
- Fibonacci$13
- D'Alembert$7
8 losses in a row
- Martingale$256
- Fibonacci$34
- D'Alembert$9
10 losses in a row
- Martingale$1,024
- Fibonacci$89
- D'Alembert$11
$1 units on an even-money bet. Each group is drawn to its own scale.
| Losses in a row | Fibonacci: total lost | Fibonacci: next bet | Martingale: total lost | Martingale: next bet |
|---|---|---|---|---|
| 3 | $4 | $3 | $7 | $8 |
| 4 | $7 | $5 | $15 | $16 |
| 5 | $12 | $8 | $31 | $32 |
| 6 | $20 | $13 | $63 | $64 |
| 7 | $33 | $21 | $127 | $128 |
| 8 | $54 | $34 | $255 | $256 |
| 9 | $88 | $55 | $511 | $512 |
| 10 | $143 | $89 | $1,023 | $1,024 |
| 12 | $376 | $233 | $4,095 | $4,096 |
Fibonacci reached $150
48.2%of sessions from $100 with $1 units. Average result −$12.81 on $475 bet.
Martingale reached $150
48.8%of sessions on the same terms. Average result −$6.32 on $233 bet.
Cost per dollar bet
2.7¢for both. Fibonacci loses more per session only because its sessions last longer: 189 spins on average, against 69.
Test results from our strategy simulator: 200,000 sessions each, European wheel, up to 1,000 spins. Read the full Martingale guide or compare all 8 systems.
Bankroll
Fibonacci Bankroll: How Many Losses Can You Cover?
Losses in a row each bankroll covers before the next Fibonacci bet is more than you have left, ignoring table limits. Under each number: the chance of losing that many in a row on a European wheel.
| Bankroll | $1 units | $5 units | $10 units | $25 units |
|---|---|---|---|---|
| $50 | 70.94% | 47.0% | 313.5% | 226.4% |
| $100 | 90.25% | 61.8% | 47.0% | 313.5% |
| $200 | 100.13% | 70.94% | 61.8% | 47.0% |
| $500 | 120.034% | 90.25% | 70.94% | 61.8% |
| $1,000 | 140.009% | 100.13% | 90.25% | 70.94% |
| $2,000 | 150.005% | 120.034% | 100.13% | 80.48% |
| $5,000 | 170.001% | 140.009% | 120.034% | 100.13% |
| $10,000 | 18under 0.001% | 150.005% | 140.009% | 120.034% |
With Fibonacci, a mixed run of wins and losses can climb the sequence too, because a win only moves you back two steps. Losses in a row are the simplest way to see how much room you have.
With $50
$1 units cover 7 losses ($33), then $21 is needed with $17 left. $50 grew to $75 in 52.1% of our test sessions.
With $100
$1 units cover 9 losses ($88), then $55 is needed with $12 left. $100 grew to $150 in 48.2% of sessions.
With $200
$1 units cover 10 losses ($143), then $89 is needed with $57 left. A bigger bankroll means a bigger goal too: $200 grew to $300 in 47.5% of sessions.
Table limits
Fibonacci Table Limits at Real Roulette Sites
Fibonacci reaches big bets later than Martingale, so table limits rarely stop it first. For each casino, the single-zero live table that takes your unit with the highest limit, and how many Fibonacci losses in a row it allows.
| Casino | Widest single-zero table | $1 units: losses covered | $5 units: losses covered | $25 units: losses covered | Play |
|---|---|---|---|---|---|
| MyBookie | $0.10 to $10,000 | 20last bet $6,765 | 17last bet $7,985 | 14last bet $9,425 | Play |
| Wild Casino | $0.50 to $12,500 | 21last bet $10,946 | 17last bet $7,985 | 14last bet $9,425 | Play |
| BetUS | $0.50 to $12,500 | 21last bet $10,946 | 17last bet $7,985 | 14last bet $9,425 | Play |
| BetOnline | $0.50 to $12,500 | 21last bet $10,946 | 17last bet $7,985 | 14last bet $9,425 | Play |
| Ignition | $10 to $3,000 | 13last bet $233 | 13last bet $1,165 | 11last bet $2,225 | Play |
| The Online Casino | $1 to $10,000 | 20last bet $6,765 | 17last bet $7,985 | 14last bet $9,425 | Play |
| Cafe Casino | $10 to $3,000 | 13last bet $233 | 13last bet $1,165 | 11last bet $2,225 | Play |
| DuckyLuck | $0.50 to $6,000 | 19last bet $4,181 | 16last bet $4,935 | 13last bet $5,825 | Play |
From the limits posted on each casino's live tables, checked October 2026. "—" means no single-zero table we saw takes that unit. The limit on red or black can be lower than the table maximum, so check it in the game.
Best table for FibonacciMyBookie's widest table runs $0.10 to $10,000. With $1 units that's room for 20 losses in a row, and you'd need $4,180 in your account to get that far. Its $0.10 tables let you play the system with 10-cent units.
Play at MyBookieRecovery
How Fibonacci Recovers From a Losing Run
Each win takes you two steps back, so you need about one win for every two losses. Here's how many wins in a row it takes to get back to one unit ahead, and how likely that streak is on red.
| Losses in a row | Units down | Wins in a row to get ahead | Chance of that many wins in a row |
|---|---|---|---|
| 3 | 4 | 3 | 11.5% |
| 4 | 7 | 3 | 11.5% |
| 5 | 12 | 4 | 5.6% |
| 6 | 20 | 4 | 5.6% |
| 7 | 33 | 5 | 2.7% |
| 8 | 54 | 5 | 2.7% |
| 9 | 88 | 6 | 1.3% |
| 10 | 143 | 6 | 1.3% |
Every row ends one unit ahead: that's always where a cleared Fibonacci run finishes. Wins don't have to come in a row, but each loss in between moves you a step up again and adds to what you need to win back.
Why it feels like it works
Small losing runs are common and cheap, and a couple of wins sort them out. Most sessions go up in small steps for a long time.
Why it loses in the end
Every so often a run goes deep, and the bets near the top of your bankroll cost more than dozens of small wins. In our test, sessions that ran short lost $71 of their $100 on average; sessions that hit the goal won $50.
The honest answer
Does the Fibonacci Strategy Work?
Not as a way to beat roulette. The Fibonacci numbers have no special link to the wheel; they're just a gentler way to raise your bets. Every spin still has the same odds, and every dollar you bet loses 2.70 cents on average on a European wheel.
What Fibonacci does well is spread the risk: losing runs cost less than with Martingale, and you can play longer on the same bankroll. That's a matter of taste, not an edge. Here's how often it reached a $50 goal from $100 on each wheel.
Reached $15048sessions, winning $50 on average
Ran short52sessions, losing $71 on average
Average over all sessions−$12.81Each losing session costs far more than a winning one makes.
$1 units, European wheel, from 200,000 sessions in our strategy simulator.
French with La Partage
53.4%reached $150. Average result −$5.78 per session.
European
48.2%reached $150. Average result −$12.81 per session.
American
37.6%reached $150. Average result −$25.93 per session.
200,000 sessions per wheel: $100 bankroll, $1 units, up to 1,000 spins, $5,000 table maximum. None of the sites we list has a French table, so European is the best wheel you'll find there.
Variations
Fibonacci Variations
Raise after wins
Reverse Fibonacci
Move up the sequence after a win and back after a loss. Bets grow in winning streaks instead of losing ones, but a single loss can give back the gains.
Compare with Paroli2 to 1 bets
Fibonacci on dozens
A dozen pays 2 to 1, so a win clears more of the run. But it loses 67.6% of spins, and six losses in a row happen 1 in 11 runs.
Bet types and progressionsStop-loss
Capped Fibonacci
Pick a last step, such as the 10th bet, and reset after it whatever happens. You give up the recovery but cap what one run can cost.
Set a table max in the calculatorCancellation system
Labouchere
Another way to spread a recovery over several wins: you cross numbers off a list instead of stepping through a sequence.
How Labouchere worksBefore you play
Fibonacci Tips for Real Money Roulette
None of these beat the house edge. They help you stay in control of a system that can run for a long time.
-
Write the sequence down
Fibonacci is easy to lose track of mid-session. Keep 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 in front of you and mark where you are.
-
Size the unit to the run
Pick how many losses you want to survive, then divide. Nine losses take 88 units, so $100 covers nine at $1 but only 6 at $5.
-
Play a European or French wheel
Fibonacci reached its goal in 48.2% of our test sessions on a European wheel and 37.6% on an American one.
-
Set a stop-loss step
Decide in advance that, say, the 10th bet is your last. When you get there, take the loss and reset instead of chasing it.
-
Set a modest win goal
Fibonacci wins slowly. A goal of 25% to 50% of your bankroll, then leaving, keeps you from playing until a long run catches you.
-
Don't reset after one win
Standard Fibonacci moves two steps back, not to the start. Resetting early leaves part of the run unrecovered.
-
Read the bonus terms
Many bonuses exclude roulette or ban progressive betting patterns, which can void the bonus and its winnings.
-
Practice free first
Play a few runs with free chips in our roulette simulator to see how long a Fibonacci recovery really takes.
Real money
Best Roulette Sites for the Fibonacci System
Fibonacci needs a low minimum so your unit can be small, and a high enough maximum for a long run. These sites post the limits on their live tables. Pick a European wheel: none of them has a French table with La Partage.
#1
MyBookie
Single-zero tables from $0.10 to $10,000
200% up to $2,000
Read our MyBookie review
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MyBookie
Single-zero tables from $0.10 to $10,000
200% up to $2,000
Read our MyBookie review
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#2
Wild Casino
Single-zero tables from $0.50 to $12,500
250 Free Spins
Read our Wild Casino review
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Wild Casino
Single-zero tables from $0.50 to $12,500
250 Free Spins
Read our Wild Casino review
Play now
Affiliate links: we may earn a commission if you sign up through these buttons. They open real money casinos, not our free tools. Ranked as on our best online roulette sites list; compare all 10 in our roulette site reviews.
Fibonacci Roulette FAQs
What is the Fibonacci roulette strategy?
A betting system that follows the sequence 1, 1, 2, 3, 5, 8, 13, 21, where each number is the two before it added together. You bet on an even-money bet such as red, move one step along the sequence after a loss and two steps back after a win.
Does the Fibonacci strategy work in roulette?
Not in the long run. It changes how your bets rise and fall, not the odds of any spin. In our test, Fibonacci turned $100 into $150 in 48.2% of sessions on a European wheel, and the sessions that ran short lost $71 on average. Every dollar bet still lost 2.70 cents.
Is Fibonacci safer than Martingale?
Its bets climb more slowly, so a losing run costs less: after 8 losses Fibonacci is down 54 units with a next bet of 34, against 255 units and a next bet of 256 for Martingale. But one win doesn't clear a Fibonacci run, so it plays longer and bets more in total. In our test, Fibonacci reached its goal in 48.2% of sessions and Martingale in 48.8%.
What happens after a win in the Fibonacci system?
You move two steps back in the sequence, never before the first 1. If you win a 5-unit bet, your next bet is 2 units. That win doesn't cover all the losses before it, so you're still behind until a few more wins move you back to the start.
How much money do I need for the Fibonacci system?
Enough to cover the losing run you want to survive. With $1 units, 6 losses cost $20, 8 losses $54 and 10 losses $143. With $100 and $1 units you can cover 9 losses in a row before the next bet ($55) is more than you have left.
How many wins does it take to recover a Fibonacci losing run?
Roughly one win for every two losses, if the wins come together. After 6 losses (20 units down) it takes 4 wins in a row to get back to one unit ahead; after 10 losses (143 units down) it takes 6.
Can I use Fibonacci on dozens or columns?
Yes. Because a dozen pays 2 to 1, a single win at any step more than covers the two bets before it. But a dozen loses 67.6% of spins on a European wheel, so losing runs come much sooner than on red.
What is the reverse Fibonacci strategy?
You move forward along the sequence after a win and back after a loss, so your bets grow during winning streaks instead of losing ones. It risks less when you're losing, but it doesn't change the house edge either.
Which wheel is best for Fibonacci?
French roulette with La Partage, then European. In our test, Fibonacci reached its goal in 53.4% of sessions on a French wheel, 48.2% on a European wheel and 37.6% on an American wheel.
Can I practice the Fibonacci system for free?
Yes. Use the calculator on this page to see your numbers, then play the system by hand with free chips in our roulette simulator. Free chips have no cash value.
How we worked it out, and references
The losing-run figures and charts are exact for the standard Fibonacci system on an even-money bet: one step forward after a loss, two steps back after a win, never before the first 1. The session odds come from the same engine as our strategy simulator: 200,000 sessions per result, $100 bankroll, $1 units, a $50 goal, up to 1,000 spins and a $5,000 table maximum, with zero losing in full except under La Partage. Table limits are from each casino's live lobby. Further reading: the Fibonacci system at Wizard of Odds and Random Services on roulette probabilities.
21+
No system makes roulette safe
Set a budget before you start, never borrow to keep a progression going, and stop when it's gone. If gambling stops being fun, call 1-800-GAMBLER or visit ncpgambling.org for free, confidential help.