Leonardo Pisan, known as Fibonacci, was born in Pisa in 1170 and he was a member of the Bonacci family. He had the opportunity to travel all around the Mediterranean Sea with his father, who used to be a diplomat. His biggest passion was mathematics and his knowledge about the culture of many nations gave him the opportunity to solve many mathematical problems. Fibonacci is most recognized because of his Fibonacci sequence of numbers that exists in the nature. Although this sequence was well known in ancient India, where it was applied to the metrical sciences, it became known in Europe in 13th century.
The Fibonacci sequence of numbers looks like this:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, …
Every subsequent number in the sequence is a sum of the previous two numbers. The first two Fibonacci numbers are 0 an 1 and here is how all subsequent numbers are calculated:
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
…
The Fibonacci roulette strategy is carried out on European roulette only and the players need to bet on a colour of their choice – black or red. The first bet is $1 and if it is won, then the sequence is over, no numbers need to be written down and the player has won. If you lose your first bet, then you start a line and you write down the first number – 1. Every time you win after that, you need to cross out the last two numbers and your next bet is equal to the first of these two numbers that you have crossed out. Each number in the Fibonacci sequence represents your next bet (in case you lose the previous one). You need to write down every lost bet in your line. Here is an example of a series of bets:
Spin № | Bet and Outcome | Line | Balance |
1 | Bet $1 and lose | 1 | $-1 |
2 | Bet $1 and lose | 1-1 | $-2 |
3 | Bet $2 and lose | 1-1-2 | $-4 |
4 | Bet $3 and win | 1-x-x | $-1 |
5 | Bet $1 and lose | 1-1 | $-2 |
6 | Bet $2 and lose | 1-1-2 | $-4 |
7 | Bet $3 and lose | 1-1-2-3 | $-7 |
8 | Bet $5 and win | 1-1-x-x | $-2 |
9 | Bet $2 and lose | 1-1-2 | $-4 |
10 | Bet $3 and win | 1-x-x | $-1 |
11 | Bet $1 and lose | 1-1 | $-2 |
12 | Bet $2 and win | x-x | $0 |
13 | Bet $1 and win | Stop | $+1 |