The Fibonacci Betting System in Roulette

The Fibonacci number sequence

french_rouletteThe Fibonacci betting system is regarded by many players as being less aggressive than other systems (the Martingales, for instance), but this does not mean it does not have a potential for profit. The system is based on the prominent mathematical sequence, which dates back to the 12th century and is linked to the work of Leonardo Bonacci (1170 – 1250). In 1202 the Italian mathematician published his Liber Abaci (The Book of Calculation), in which he introduced the Fibonacci number sequence. In the following centuries gamblers began basing their winning strategies on this sequence, while it is still a preferable playing method even today.

The sequence is designed by starting with 1 and by adding the two prior numbers together. Or, the sequence is cumulative in its nature, which means every number that follows equals the sum of the previous two numbers. Thus, the first 15 numbers in the sequence will be as follows:

1  –  1  –  2  –  3  –  5  –  8  –  13  –  21  –  34  –  55  –  89  –  144  –  233  –  377  –  610

Fibonacci

Using the Fibonacci sequence in Roulette

It is important to note that the number sequence is appropriate to be used when placing even-money outside bets (red/black, even/odd, high numbers/low numbers). The betting process begins with 1 (1 unit) as a first wager. Then, the player moves through the sequence, in case he/she registers losses. Or, every time he/she loses, he/she needs to move to the next number in the sequence. When a win occurs, the player needs to take a step back to the beginning of the sequence. In case the first bet turns out to be a winner, the player will simply begin the sequence once again.

The further the player goes through the sequence, the greater his/her losses will be. A win on the first bet is considered as the best scenario, while a win on the second or the third bet will lead the player to breakeven.

Some people may say that if that is all, the system is not worth even a try. However, that is a bit premature conclusion! Let us see how a Fibonacci-based betting process may look like:

Bet Number Unit(s) Outcome
1 1 loss
2 1 loss
3 2 loss
4 3 loss
5 5 loss
6 8 loss
7 13 loss
8 21 loss
9 34 loss
10 55 win

A win has finally occurred on the 10th bet. What the player needs to do next is to move two numbers back in the Fibonacci sequence and place the respective number as the 11th bet. Thus, he/she will next bet 21 units. This step is to be repeated again and again until the player reaches the beginning of the sequence. So, after each win, he/she needs to move two numbers back, while after each loss, he/she needs to move one number forward. Now, let us extend the above mentioned betting process:

Bet Number Unit(s) Outcome
1 1 loss
2 1 loss
3 2. loss
4 3 loss
5 5 loss
6 8 loss
7 13 loss
8 21 loss
9 34 loss
10 55 win
11 21 win
12 8 win
13 3 loss
14 5 win
15 2 loss
16 3 loss
17 5 win
18 2 win
19 1 win

It became evident that the player reached the very beginning of the number sequence and scored a profit of 1 unit, despite the fact there have been 12 losses and only 7 wins.

However, there might have been a quite different scenario, with a far greater number of losses. In such a case, the player might need a longer period of time to return to the beginning of the sequence and of course, he/she might need to be extremely precise following the rules of this system. A mistake somewhere in the betting sequence would surely cost him/her a lot.

Limiting the losses is critical

We should note that, as all other betting systems, the Fibonacci is not secured against long losing streaks. A considerable string of losses may lead to financial ruin, thus, a player needs to set a stop loss limit. He/she needs to decide how further through the number sequence he/she is willing to go. Some gambling experts recommend going no further than 6-7 steps.

Taking into consideration its pros and cons and the fierce criticism by some gamblers, we conclude that the Fibonacci betting system may fit the preferences of those players who tolerate medium risk (players striving to profit consistently, but, on the other hand, feeling comfortable with a moderate-sized loss).

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