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Roulette: The Fibonacci System Explained

June 27, 2024

Roulette betting systems and strategies might be almost as ancient as the game itself.

The Fibonacci system, named after the Renaissance mathematician, is another negative progression system whereby, after each loss, the player has to increase his or her stake.

For players already versed in Martingale, the first glance at the Fibonacci system will register similarities but with nuances that nudge it off in an adjacent direction.

Read on for an explanation of the Fibonacci system and how players use it at any land-based or top online casino.

What is the Fibonacci Roulette System?

The Fibonacci system will work with any type of roulette game. It is named after Leonardo of Pisa, an Italian mathematician of the 13th century, who was more commonly known by his nickname, Fibonacci.

He had already encountered the mathematical ideas of India and Arabia, seen patterns in nature. Fibonacci understood that they bound together everything from the coil of the snail’s shell to the behaviour of bunny rabbits.

It was only a matter of time before the gamblers snaffled Fibonacci’s number sequence and began applying it to roulette betting over the centuries.

The System in Action

Assuming we start at zero, the Fibonacci sequence would run like this:

0 1 1 (0+1) 2 (1+1) 3 (2+1) 5 (3+2) 8 (5+3) 13 (8+5) 21 (13+8) 34 (21+13) and so on.

The Fibonacci sequence is a mathematical number sequence where each number in the sequence is the sum of the two preceding numbers.

In roulette, it is a negative progression system, where a player must raise their stake after a loss.

A roulette player using this method would move along the number sequence, betting as they go.

When they win, the player drops two steps down on the number line (or to 1 if they are already at the very bottom).

Is the Fibonacci Betting System any Good?

Players can recoup any losses pretty quickly, as a player’s stake only increases each time they lose.  

When they win, it will be at a higher stake, and therefore, the winnings will be higher.  Losses end up being recovered quickly and a player would end up winning (or breaking even at least).

Like all negative progression betting systems, there is a risk with the Fibonacci.

Players can have an extended losing streak at roulette, and losses can spiral. 

Remember that the Fibonacci system works only with even-money bets such as red/black or odd/even, not if you put money on straight-up winners (singles) paying 35/1.

Understanding the house edge in roulette is important.

In European Roulette, the wheel has just one green zero pocket. If the ball lands in it, all even-money outside bets will lose – as do red or black bets – which is, of course, why it’s there, giving the casino its edge.

Under these rules, European Roulette has a house edge of 2.7% meaning that every time a player places a bet, they are losing £2.70 for every £100 bet.

In American Roulette (which offers a double green zero pocket), this rises to 5.26%.


The Fibonacci sequence is a good betting system that players can use in many casino games.

The Fibonacci system is a little less complicated than some of the other roulette betting systems. Because it is fairly straightforward, it is perfect for novice players looking to dip their metaphorical toe into the vat of betting systems available.

It is also a good option for the experienced punter who seeks to escalate the stakes of their wagers without running the risk of losing too much at any one time.