Fibonacci is a popular roulette system based on mathematical theory called Fibonacci Sequence.

History of Fibonacci

Fibonacci systemFibonacci is one of the classics among roulette strategies. Its origins can be found in one of the fundamental mathematical theories – the Fibonacci Sequence. It has been developed by, living between XII and XIII century, Leonadro Pisano also known as Fibonacci. His world famous sequence of natural numbers has been almost directly applied as a roulette betting pattern.

What is Fibonacci?

Fibonacci is a betting progression system based on Fibonacci Sequence, where every next number is a sum of the two which were directly before it. The sequence looks like this: 1,1,2,3,5,8,13,21,34,55,89,144 etc. The system works similarly to the Labouchere  or cancellation system. With the Fibonacci system, you progress through the sequence on losing bets and return towards the start after winning bets.

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How does Fibonacci work?

Each time you lose, your bet is moving to the next number in the sequence. Each time you win, you step back by two numbers. If the first bet is won, then the sequence is over. If the first bet is lost, then a line is started and a "1" is written down. The next number in the sequence represents the following wager size. If this bet is lost, then it is added to the end of the line. As each bet is lost, it is added to the end of the series. If a bet is won, the last number in the series is crossed out.

How to use Martingale?

Although the system may seem hard to understand, in fact it is quite simple to use after short practice. The example given below will clearly show how the Fibonacci system works. First of all let’s define some basic data:

Basic bet: $1.00
Betting on: black
Bankroll: infinite

We will start betting with $1.00 wager on black. For the purpose of this simulation, we will imagine 10 rounds of betting which we will show in simple table.

Take a look at our imaginative rounds and discover the advantages of Fibonacci:

Bet number:Fibonacci sequence:Bet’s value ($):Outcome:Win/loss ($):Balance:
1 1 $1 loss - $1 - $1
2 1-1 $1 loss - $1 - $2
3 1-1-2 $2 loss - $2 - $4
4 1-1-2-3 $3 loss - $3 - $7
5 1-1-2-3-5 $5 win + $5 - $2
6 1-1-2-x-x $2 loss - $2 - $4
7 1-1-2-3 $3 win + $3 - $1
8 1-1-x-x $2 win + $2 + $1
9 1 $1 loss - $1 - $1
10 1-1 $1 win + $1 + $1

What is the profit?

Although our virtual player won only 40% of his bets, at the end we can count $1 profit. Throughout the whole session the maximum loss reached only $7 which shows that the risk taken wasn’t very big.

What are advantages of Fibonacci?

+ stable profits
+ can be used starting with very small bet value

What are disadvantages of Fibonacci?

- at the beginning seems complicated