The Fibonacci Strategy


Leonardo Pisano Bigollo (c. 1170 – c. 1250) also known as Fibonacci

Fibonacci

As with many of the roulette strategies we’ve covered, this one is mathematical in nature, but not entirely based on pure probability.  Named after a 12th Century Italian mathematician, who created a unique numerical sequence, this strategy dictates how much you wager on a color of your choice over a series of spins.

A Fibonacci sequence goes as follows:  0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377…. Each number in the sequence, starting after 0 and 1 is the result of adding the previous two numbers:

0+1 = 1, 1+1 = 2, 1+2 = 3, 2+3 = 5 and so on.

Playing roulette, employ the sequence in this manner:

Bet on a color of your 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 roulette 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 every lost bet down 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

This strategy works best on a single “0” European wheel, but can be used to equal effect with an American “0” “00” wheel with odds slightly more in the houses’ favor.

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