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Fibonacci Sequence Roulette Strategy – 99.1% Win Rate

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Methodology

Gamblers often use various betting strategies in an attempt to gain an advantage over the house. One of the most popular methods for betting on roulette is the Fibonacci betting system, which is second only to the Martingale system. Despite its popularity, there is a significant amount of conflicting information regarding the theory behind the Fibonacci betting system and the potential returns it can yield. In this review, I aim to provide a clear explanation of the theory and practical application of the Fibonacci sequence within the context of roulette. To achieve this in an unbiased and trustworthy manner, I followed the methodology outlined below.

  • I have personally tested the system with real money in a licensed online casino
  • This article is supplemented with a video recording of my review process
  • Roulette sites listed in this article were not aware of me performing this review

Affiliate Disclosure

When you buy through affiliate links in this article, I may earn a commission at no extra cost to you.

This article is a step-by-step explanation of a Fibonacci roulette strategy. Learn how this strategy works, how to use it to play roulette online and at a physical table and what mistakes to avoid.

Watch the video below for a quick overview of the Fibonacci betting strategy and how much money I made after testing it with $3,843 for almost two hours.

https://www.youtube.com/watch?v=RQA1DPr31NM

Table of Contents

The Fibonacci roulette strategy is a betting system that utilizes the Fibonacci sequence to determine the amount of the next bet based on previous outcomes. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. 1 In the context of roulette, this strategy is primarily applied to even-money bets, such as red or black, odd or even, and high or low. 2

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

The sequence is commonly used in mathematics and investing (think Fibonacci retracements, arcs, zones, etc.) 3 and can be found in nature in the design of pinecones, artichokes, and even human DNA. 4

Thanks to this common occurrence in unexpected places, the Fibonacci sequence is often attributed to some divine properties 5 that might be a part of allure when using it when gambling. Personally, I’m as far away from God as I can be whether using Fibonacci or not, but to each its own.

The mechanics of the strategy

roulette table - 2:1 bets
2:1 bets – you have 6 bets available with this strategy

This system is commonly used in roulette on even-money bets, red/black, and even/odd. This article will explore the Fibonacci betting strategy with bets paying 2:1, dozens, or columns.

You move on to the following number in the sequence on each losing bet.

Fibonacci is a negative progression roulette strategy meaning that we increase our bet after each loss. Similar to the martingale system 6, in the case of Fibonacci, we move on to the following number in the sequence instead of doubling the bet, which flattens the curve and makes the system more manageable in terms of required bankroll and staying within table limits.

After each win, you return to your base bet.

As with every roulette system, the question is, what is the longest losing streak we can handle?

Simulation of 12 lost bets in a row following Fibonacci betting strategy

Based on the simulation in the picture above, to prepare for 12 losing bets in a row, we will need a total budget of $609 and a bet limit higher than $233.

What are the odds of losing 12 dozen or column bets in a row?

If you’re playing European roulette the odds of losing any single bet placed on a dozen or column is 67.6%.

To calculate the odds of losing 12 bets in a row we just need to take 67.6% to the power of 12.

0.67^12 = 0.0091
0.0091 = 0.91%

There you have it; chances of encountering 12 losing bets in a row are 0.91%, less than 1 in 100. If you’re comfortable with these odds, let’s proceed to the practical application of the Fibonacci betting strategy.

How to use the Fibonacci system?

First of all, playing roulette with a system requires a bit of discipline. 7 For me it makes the game more fun but for you it might completely take the excitement out of the game. Don’t feel pressured to follow any particular strategy when you’re at a roulette table. Gambling should be fun.

Step 1: Identify your budget, table bet limits, and desired profit.

Three key things to know before you even step a foot in the casino.

Step 2: Write down your bet progressions and decide on the starting amount

If you can afford it, the higher you start the faster you will reach your goal

Step 3: Stick to the plan

Bets might get pretty high very fast

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Fibonacci vs Martingale strategy

Fibonacci and Martingale strategies are negative progression systems, meaning you increase your bet after a loss. In Fibonacci, your next bet is the sum of the previous two bets; in the Martingale system, your next bet is double the previous one.

Simulation of 12 losing rounds using Fibonacci and Martingale strategies

Thanks to Fibonacci’s slower bet size progression, you can squeeze more out of your available budget. Martingale is an exponential progression system that exceeds your budget or table limit with less than fifteen betting rounds.

Responsible Gambling

At this point, I should tell you that even though this strategy has a 99.1% win rate, the casino still has an advantage over you, which will eventually materialize and gobble up your whole budget. The long-term winning strategy for roulette does not exist, so leave the table while you’re up.

Gamblers Fallacy

As with any negative progression betting strategy, the ‘gamblers fallacy’ might influence your judgment when you’re at the roulette table. Let’s explore this common bias together so you can make informed decisions while betting.

The gambler’s fallacy, also known as the Monte Carlo fallacy or the fallacy of maturity of chances, is the belief that if an event occurs more frequently than expected, it is less likely to happen again in the future. 8

The chance of the ball landing on red or black at a roulette table is 48.65%. 9

Let’s assume you’re at a roulette table, and the ball landed on red twenty times in a row.

What is the chance that the ball will land on red in the next round?

48.65%

Previous outcomes have no influence over the future or in other words, the ball doesn’t care and has no memory of where it landed.

Fun Fact: The name Monte Carlo fallacy stems from when a roulette ball landed 26 times in a row on black in a Monte Carlo casino 10 on August 18, 1913.

Should you play with the Fibonacci system?

If you encounter a losing streak, Fibonacci can completely deplete your budget. 11 Never gamble with money you cannot afford to lose.

If you’re comfortable with the odds and are excited about making big bets, this might be a good system for you. I definitely enjoyed playing with it and hitting a lucky streak that allowed me to make a profit. Check the video at the top of the page to see how much exactly I won!

FAQ

Is Fibonacci betting system guaranteed to bring me profits?

Absolutely not; never mistake gambling for investing. The Fibonacci roulette strategy is a good way to manage your bet size and budget, but it has the potential to deplete your casino balance completely. If you manage to avoid any 12-round long losing streaks, though, you can expect good profits. As with any roulette strategy, a bit of luck is the most critical factor.

Which roulette version should I play with the Fibonacci strategy?

You can play any roulette version with one zero, so not American roulette, and a payout of 2:1 on dozen or column bets. I recommend Speed Roulette 12 because the timing between the bets is shorter than at the regular roulette table, meaning you will have to spend less time at the casino to achieve the same profits.

Notes

  1. Kalman, D., & Mena, R. (2003). The Fibonacci Numbers—Exposed. Mathematics Magazine, 76(3), 167–181. https://doi.org/10.1080/0025570x.2003.11953176[↩]
  2. Lipovetsky, S. (2023). Mathematics of The Big Four Casino Table Games: Blackjack, Baccarat, Craps, & RouletteMark Bollman, Boca Raton, FL: CRC Press/Chapman & Hall, Taylor & Francis Group, 2021, xi +353 pp., 43 B/W illustrations, $ 31.16 (pbk), ISBN 9780367740900. Technometrics, 65(4), 613–614. https://doi.org/10.1080/00401706.2023.2262898[↩]
  3. Kumar, R. (2014). Magic of Fibonacci Sequence in prediction of stock behavior. International Journal of Computer Applications, 93(11). https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=a2e3e5a882f88f521590cb436ecdf271eb1ac294[↩]
  4. Minarova, N. (2014). The fibonacci sequence: Nature’s little secret. CRIS-Bulletin of the Centre for Research and Interdisciplinary Study, 2014(1), 7-17.[↩]
  5. Brahier, J. D. (n.d.). Beauty, Bees, and God: The Fibonacci Sequence as a theological springboard in secondary mathematics. Digital Commons at Loyola Marymount University and Loyola Law School. https://digitalcommons.lmu.edu/ce/vol22/iss2/5/[↩]
  6. Seal, K. C., & Przasnyski, Z. H. (2005). Illustrating probability through roulette: A spreadsheet simulation model. Spreadsheets in Education, 2(1).[↩]
  7. Oldman, D. (1974). Chance and Skill: A study of roulette. Sociology, 8(3), 407–426. https://doi.org/10.1177/003803857400800304[↩]
  8. Clotfelter, C. T., & Cook, P. J. (1993). The “gambler’s fallacy” in lottery play. Management Science, 39(12), 1521-1525. https://pubsonline.informs.org/doi/abs/10.1287/mnsc.39.12.1521[↩]
  9. Barboianu, C. (2008). Roulette odds and profits: the mathematics of complex bets. INFAROM Publishing.[↩]
  10. Bruce, P. (2021, January 6). Gambler’s Fallacy | Elder Research. Elder Research. https://www.elderresearch.com/blog/gamblers-fallacy/[↩]
  11. Klinkova, G. and Grabinski, M. (2017). Due to instability gambling is the best model for most financial products. Archives of Business Research, 5(3). https://doi.org/10.14738/abr.53.3029[↩]
  12. Evolution. (2023, September 4). Speed Roulette | Evolution Games. Evolution Games. https://games.evolution.com/live-casino/live-roulette/speed-roulette/[↩]