Mastering the Fibonacci Roulette Strategy

Fibonacci Roulette

If you are looking to take your roulette play to the next level, you may consider using a roulette strategy. You've likely heard of the Fibonacci sequence before, but did you know that this series of numbers can be used as a staking system in roulette and other betting games?

To help you master the Fibonacci strategy for roulette, this guide will cover the fundamentals of the method, its origins, pros and cons, common pitfalls to avoid and strategies for integrating it with other strategies for roulette.

Key Takeaways

  • Derived from the Fibonacci sequence, the Fibonacci strategy is used on bets that pay 1:1 with a near 50% chance of winning, such as red and black in roulette.
  • The approach follows the Fibonacci sequence, dictating that after a loss, the bet increases by one step in the sequence, whereas a win leads to a decrease by two steps.
  • The strategy’s primary aim is to recoup previous losses and ultimately achieve a profit by reversing back through the sequence following wins.
  • The Fibonacci strategy presents a less risky alternative compared to systems like Martingale, as it involves a more gradual increase in stakes.
  • It's important to note that the strategy does not alter the game's Return to Player (RTP) rate, meaning it doesn't guarantee long-term profits.
  • While individual gaming sessions will end more often in a profit when utilizing the strategy, players will eventually face significant losses during unfavorable sessions.
  • When using the strategy, players should establish a clear profit goal, be aware of table limits, and avoid the temptation to chase losses.
  • Some players merge the Fibonnaci strategy with Martingale, seeking to balance the gradual progression of Fibonacci with quicker loss recovery.
  • While intriguing, the Fibonacci strategy does not assure consistent winnings; it's crucial to play responsibly, recognizing roulette as a game of chance.

From Leonardo Fibonacci to the Casino Floor: A Brief History

The Fibonacci strategy is named after Leonardo Fibonacci, an Italian mathematician who introduced the Fibonacci sequence to the Western world in his book “Liber Abaci” in 1202. While the strategy itself is not mentioned in his work, it is believed to have been derived from the sequence and applied to gambling in later years.

Over time, the Fibonacci strategy gained popularity among roulette players due to its simplicity and the potential for gradual profit accumulation. It has become a widely used betting system in both land-based gambling establishments and online casinos. 

In addition to roulette and other casino games, the Fibonacci sequence can also be used for betting on horse racing events like the Leopardstown Festival, as well as other sports. In a nutshell, it can be applied to any bet that pays 1:1 and has a close to 50% chance of succeeding. 

How the Fibonacci Strategy Works in Roulette

The Fibonacci strategy is a progressive betting system that is based on the Fibonacci sequence, a mathematical concept where each number is the sum of the two preceding ones. Here’s an example showcasing the fifteen first numbers in the sequence:

  • 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)
  • 55 (34 + 21)
  • 89 (55 + 34)
  • 144 (89 + 55)
  • 233 (144 + 89)
  • 377 (233 + 144)

In the context of roulette, the Fibonacci strategy is used to determine the betting amount for each round.

The strategy works by starting with a base betting unit, such as £1. If you win a bet, you move two steps back in the Fibonacci sequence and bet that amount. If you lose, you move one step forward and bet the next number in the sequence. This continues until you reach a desired profit or exhaust your bankroll.

It’s important to note that the intended application of the Fibonacci strategy is to use it only on the bets that pay 1:1. This includes red and black color; high and low number; as well as even and odd number. 

Purpose and Example

The goal of the Fibonacci sequence is to reach the starting point of it. Every time you do, you recover whatever losses you may have suffered from a losing streak.  

The idea is that no matter how far gone you are on the sequence due to losses, you will eventually make it back. Simply because your bets have a close to 50% chance of winning and when you lose, you only move one step forward on the sequence while you move two steps backward when you win. 

Here is an example of how the Fibonacci strategy helps us break even over 15 game rounds even though only a third of these are won: 

RoundFibonacci Sequence (Bet)Outcome (Win/Loss)ActionNet Profit
11 (£1)Loss1 step forward-£1
21 (£1)Loss1 step forward-£2
32 (£2)Loss1 step forward-£4
43 (£3)Win2 steps back-£1
51 (£1)Loss1 step forward-£2
62 (£2)Loss1 step forward-£4
73 (£3)Loss1 step forward-£7
85 (£5)Loss1 step forward-£12
98 (£8)Win2 steps back-£4
103 (£3)Loss1 step forward-£7
115 (£5)Loss1 step forward-£12
128 (£8)Loss1 step forward-£20
1313 (£13)Win2 steps back-£7
145 (£5)Win2 steps back-£2
152 (£2)Win2 steps back+£0

In this example, we start with a bet of $1 and follow the Fibonacci sequence to determine the next bet amount. Each time we lose, we move one step forward in the sequence and increase our bet accordingly. When we win, we move two steps back in the sequence.

As you can see, our net loss increases with each consecutive loss, but as we win and make our way back to the start of the sequence, we break even. Now, we only have to win one more time to make a profit. 

It’s important to note that each number on the Fibonacci sequence represents a unit and not a fixed value. As a player, you are free to determine what the value of each unit should be. For instance, if you started with a bet of £5 and reached number 8 on the sequence, you would have to bet £45 (8 units of £5).

The Positives and Negatives


Like any negative progression system, the main draw of using the Fibonnaci strategy is its ability to easily recover losses and turn these into a net profit. In European Roulette, the bets that pay 1:1 have a 48.6% chance of winning and as showcased in the table above, only 33% of game rounds must win to break even, while an additional win results in a net profit.

At first sight, this sounds like a bulletproof concept. While it isn’t, the fact is that utilizing the Fibonnaci strategy will increase your chances of profiting from individual gaming sessions. 

Compared to the more well-known Martingale strategy that achieves the same, the Fibonnaci strategy carries less of a risk to your bankroll as the stakes do not increase exponentially when losing. Instead, they increase much more slowly.  

Another positive of the Fibonnaci strategy is that it can make a roulette session more interesting by following a betting pattern. 


A roulette strategy can never change the RTP of the game (long-term returns) and the Fibonnaci strategy is not an exception. Even if the chance of profiting from individual gaming sessions increases, it doesn't change how much you win in the long run. 

The strategy relies on the fact that no more than 66% of game rounds are lost during your gaming session. On the bright side, probability tells us that only 51.4% of rounds will be lost when we simulate an infinite number of game rounds.

The problem, however, is that every gaming session has a limited number of rounds and doesn’t follow the 51.4% to a tee. This means that every now and then, you will experience a gaming session where too many losses happen compared to wins, which will keep increasing the stakes.

During such a session, you will either get to a point where your entire bankroll has been lost because it can’t sustain the high stakes or where you reach the betting limit of the table. Either way, this is where strategy fails. Whatever profits that were made from previous gaming sessions will be devoured.

In a nutshell, using the Fibonnaci strategy means trading smaller profits from several gaming sessions for greater losses from occasional ones. 

Common Mistakes to Avoid When Using the Fibonacci Sequence

While the Fibonacci roulette strategy can be a useful tool when understood correctly, there are some common mistakes that players should avoid:

  1. Chasing losses: It is important to stick to the strategy and not deviate from the Fibonacci sequence when experiencing losses. Chasing losses by increasing the betting amount could lead to even greater financial losses.
  1. Ignoring table limits: Roulette players must be aware of the minimum and maximum bet limits set by the casino, as exceeding these limits can disrupt the progression of the Fibonacci sequence.
  1. Not setting a profit goal: Without a clear profit goal, it is easy to get caught up in the game and continue betting without considering potential losses. Setting a profit goal helps maintain discipline and ensures that you walk away with winnings.
  1. Counting on the strategy: While the Fibonnaci strategy can increase the chances of profiting from individual gaming sessions, there is no guarantee this will happen. The fact is that in the long run, you will win just as much by using the Fibonnaci strategy as if you weren’t.

Combining Fibonacci With Other Strategies

While the Fibonacci roulette strategy can be effective on its own, some players choose to combine it with other strategies for increased chances of success. One popular combination is the Fibonacci and Martingale strategies.

The Martingale strategy involves doubling the betting amount after each loss, aiming to recover previous losses with a single win. By combining the Martingale strategy with the Fibonacci sequence, players can take advantage of the gradual progression of the Fibonacci system while potentially recovering losses more quickly with the Martingale strategy.

However, one must be aware that such an approach could also result in losses being amplified. 

Final Note

It’s important to note that while the Fibonacci roulette strategy can be an interesting approach to betting, it does not guarantee consistent winnings. Like any betting system, it is subject to the inherent randomness of the game. It is crucial to set limits, manage your bankroll wisely and remember that roulette is ultimately a game of chance.

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