Fibonacci dozens - Bojoko’s own roulette system

Fibonacci dozens is new roulette betting system based on the Fibonacci sequence. It combines the dozen and column bets of roulette with the famous Fibonacci numbers:

1-1-2-3-5-8-13-21-34-55-89 etc.

There’s nothing magical here. Fibonacci dozens betting system is a negative progression where the previous losses of each betting sequence can be made up in one big swoop. In that sense, it is quite close to the martingale system.

Yet, the bet size stays relatively moderate compared to the martingale. The net win per investment in a successful betting sequence is also considerably better. Depending on what point of the sequence the hit comes you can net anything between 14.69% and 200% of the total sum of your bets.

To be sure, you can lose. With 2:1 payout bets the risk of hitting a bad streak is very real. You can go over your budget or the table limit if the ball doesn’t bounce your way.

Fibonacci dozens is not a sure-fire way to riches. However, it brings order and amusement to playing roulette online.

Check out our roulette strategies guide for step-by-step instructions to 9 roulette systems.

The classic Fibonacci roulette strategy

Most players have heard of or even tried using the Fibonacci progression to beat roulette. In the classic Fibonacci strategy you play with 1:1 payout bets such as black/red. Starting from the beginning of the sequence, you go one step forward with each loss and two steps back with each win.

The classic Fibonacci is a relatively safe strategy, providing you have deep pockets and high table limits. In the long run, you get ahead by winning just one-third of the bets. On the average, you should win even half of them.

However, you might quickly clear your bankroll while waiting for the averages to play out. If you hit two long losing streaks with only a few wins between, the bet size will get intolerably high.

What’s different about Fibonacci dozens?

With Fibonacci dozens you play the bets with 2:1 payouts, i.e. dozens and columns. The bet size grows as quickly as in the classic Fibonacci system, but you need only one hit to get ahead and start from the beginning. However, with 2:1 payouts the losing streaks are more frequent than with 1:1 bets.

Compared to Martingale the net wins are also bigger and grow together with the overall bet size. The bigger the risk, the bigger the reward.

Winning on the few initial steps of the sequence will net you percentually higher gains compared to the total sum of your bets. Yet, the monetary net win will increase the further down the sequence you go.

EXAMPLE: Starting with a £1 bet and winning on the first spin will net you £2. Winning on the 10th spin with a £89 bet will net you £36.

Fibonacci dozens in practice

Using Fibonacci dozens roulette system is quite straightforward:

Since this strategy is somewhat risky, there are steps you can take to make it less so:

Try out the Fibonacci dozens in the best live casinos:

Does it work?

We spent weeks thoroughly testing out the system: looking at the wheel spinning, noting down session results and playing the strategy in live dealer roulette tables, auto roulette tables and several different random number generator roulettes. We even availed ourselves of several casino bonuses in the process.

The result: Fibonacci dozens didn’t prove to be the philosopher’s stone of gambling.

The system falls short of perfection for exactly the same reason as the others. Even though the results of the spins correspond very well to the odds of the game in the long run, in the short term roulette is unpredictable. During the testing, we even saw the ball miss the 3rd column 30 times in a row which cleaned out our bankroll.

However, there were many profitable sessions and others that could have been, had we stayed within the pre-set limits. The lesson to take home here is simple and applies to all casino table games: don’t get greedy, quit before the stakes get above your budget.

Background of the Fibonacci numbers

Both the Fibonacci numbers and the roulette systems are named after Leonardo Pisano Bigollo, an Italian mathematician who lived around the turn of the 13th century. Later he was dubbed as Fibonacci by a 19th-century French historian Guillaume Libri.

Fibonacci’s magnum opus Liber Abaci played an important role in bringing the Hindu-Arabic numeral system to Europe. These are the numbers we know today as they replaced the cumbersome Roman numerals.

In Liber Abaci, Fibonacci used a sequence that was later to bear his name to illustrate a population growth of rabbits. However, the same sequence of numbers formed by adding the two previous ones together to make the next entry was already old news in India by at least 500 years. Classic Greek polymaths like Pythagoras and Euclid had also studied a related phenomenon - the golden section - well over a millennium before Fibonacci.


Golden section describes the relationship of very specific line segments. If we have a line a+b, where a is to b as a+b is to a, this relationship represents the golden ratio. When you use real values instead of letters, you get a ratio of roughly 1 : 1.61803. The relation of the adjacent Fibonacci numbers approaches this value the further down the sequence you advance.

Apart from bunnies making more bunnies and mathematicians drawing lines, Fibonacci sequence and the golden ratio can be observed in nature. The spirals of seashells and plant leaves are good examples. This aesthetically pleasing correlation is present even in our own bodies, as described by Leonardo da Vinci’s famous illustration Vitruvian Man.

If you’re not a renaissance art buff you can observe the Fibonacci sequence at work by looking at your own finger. If your fingernail is 1 unit, the fingertip 2 is units, middle section 3, last section 5 and the meta carpalis bone connecting to your wrist 8 units. Mind. Blown.

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