Fibonacci roulette system
The Fibonacci roulette system sets your bet size after every spin based on the last result – here is the exact rule, a test you can run yourself, and what the results really show.
What the Fibonacci roulette system is
The Fibonacci roulette system uses a famous number sequence to decide how much to bet. Each number in the sequence is the sum of the two numbers before it.
The sequence starts like this:
- one, one, two, three, five, eight, thirteen, twenty-one, thirty-four…
Each number is a bet size in chips. You play only even-money bets, such as red or black, odd or even, or high or low. These pay 1 to 1.
It is a negative progression: you bet more after a loss. This is the same idea as the Martingale, but the bets grow more slowly.
The Fibonacci sequence changes the size of your bets. It does not change the odds of any spin.
The bet rule, step by step
The Fibonacci sequence roulette rule has only three parts:
- Start at the first step of the sequence: bet one chip on red (or any even-money bet).
- After a loss, move one step forward in the sequence and bet that amount.
- After a win, move two steps back. If you are near the start, go back to the first step.
Here is a short example:
- Bet one chip – lose. Move forward.
- Bet one chip – lose. Move forward.
- Bet two chips – lose. Move forward.
- Bet three chips – lose. Move forward.
- Bet five chips – win. Move two steps back to two chips.
After this run you lost seven chips and won five, so you are still down two. One win does not cover a whole losing streak. You need more wins to climb back.
A win only covers the two bets before it. After a long losing streak, you need several wins to get back to even.
Try the Fibonacci system in the tester above
The tester at the top of this page is already set to the Fibonacci system. Press run and watch many sessions play out in seconds.
The default settings are:
- Bankroll: 200 chips
- Goal: stop when you are up 50 chips
- Up to 300 spins per session
- Table maximum: 500 chips
- 20,000 sessions on the European wheel
Then change the settings. Try a bigger bankroll, a smaller goal, a lower table maximum, or the American wheel. See what changes and what stays the same.
You can also compare other systems in the full system tester.
Change one setting at a time. It makes it much easier to see what that setting really does.
What the default run shows
With the default settings, the Fibonacci roulette system gave these results:
- Reached the goal: 48.8% of sessions
- Ended up (in profit): 72.3% of sessions
- Lost the whole bankroll: 25.2% of sessions
- Average result per session: -18.8 chips
Many sessions end a little up. Small wins come often, and each win moves you back down the sequence. A session ends up only when enough wins bring you back past your starting point.
But some sessions hit a long losing streak. The bets climb step by step, the bankroll runs out or the table maximum blocks the next bet, and the loss is large.
So the pattern is: small wins often, big losses sometimes. The big losses happen in about one session in four (25.2%), and they cost more than all the small wins together.
A high share of winning sessions feels good, but look at the average result. That number tells you the real cost.
Why the average matches the house edge
On the European wheel, the house edge is 2.70% on every bet. That means on average you lose 2.70% of every chip you put on the table.
The tester also shows what the house edge predicts for the total amount bet in the Fibonacci sessions: -19.2 chips. The real average result was -18.8 chips. The two numbers are almost the same.
This is the key point:
- The system changes how you win and lose: many small wins, some big losses.
- It does not change how much you lose on average.
- Over many spins, your loss as a share of the total bet tends to get closer to the house edge.
- Each spin is independent. Past losses do not make a win more likely. See the gambler's fallacy.
No betting system beats roulette. Read more in Can you beat roulette? and our roulette strategy guide. You can also compare Fibonacci with the D'Alembert and Labouchere systems.
If you want to lose less on average, the wheel matters more than the system. Fewer zeros means a lower house edge.
Questions
Does the Fibonacci roulette strategy work?
No. In our default test the average session result was -18.8 chips, almost the same as the -19.2 chips the house edge predicts. The system changes the pattern of wins and losses, not the average loss.
How does the Fibonacci sequence work in roulette?
You bet on even-money bets using the sequence one, one, two, three, five, eight and so on. After a loss you move one step forward, and after a win you move two steps back.
Is Fibonacci safer than Martingale?
The bets grow more slowly than in the Martingale, so each losing streak hurts less at first. But in our default test Fibonacci lost the whole bankroll in 25.2% of sessions, about the same as the Martingale's 24.3%, and the average loss still matches the house edge.
Why do most Fibonacci sessions end in profit?
Small wins happen often, and each win moves you back down the sequence until you get past your starting point. The losing sessions are fewer but much bigger, so the average result is still a loss.
What is the house edge when using the Fibonacci system?
It is the same as for the even-money bets you place without a system: 2.70% on the European wheel and 5.26% on the American wheel. A betting system cannot change the house edge.