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Roulette Strategy and Tips: The Fibonacci Strategy

Roulette Strategy and Tips

Roulette is the easiest game to play at the casino, besides also being one of the easiest games to understand. Roulette is different from other table games in terms of the chips used. The roulette chips are without value denomination. The roulette table comes with six to eight sets of chips, all of different colors, and each set contains 300 chips. When chips are being purchased, the player gets his own color and the value of the chips depends on the buy-in divided by the number of chips. The dealer will then place a token on top of the stack to indicate the value.

A typical American roulette wheel comes with 38 numbered slots: 1 to 36, one zero slot, and double zero slots. The following table shows the available bets and the probability of winning according to the US rules of a double zero roulette:


Bet Pays Probability Win House Edge
Red 1 47.37% 5.26%
Black 1 47.37% 5.26%
Odd 1 47.37% 5.26%
Even 1 47.37% 5.26%
1 to 18 1 47.37% 5.26%
19 to 36 1 47.37% 5.26%
1 to 12 2 31.58% 5.26%
13 to 24 2 31.58% 5.26%
25 to 36 2 31.58% 5.26%
Six line (6 numbers) 5 15.79% 5.26%
First five (5 numbers) 6 13.16% 7.89%
Corner (4 numbers) 8 10.53% 5.26%
Street (3 numbers) 11 7.89% 5.26%
Split (2 numbers) 17 5.26% 5.26%
Any one number 35 2.63% 5.26%


Fibonacci Strategy

The Fibonacci strategy was founded by Leonardo Pisano Bigollo, nicknamed Fibonacci. He was a famous Italian mathematician who once discovered a very interesting sequence of numbers which have since been named after him. According to this sequence, numbers are generated by summing up the last two digits together: 1 – 1 – 2 – 3 – 5 – 8 – 13 – 21 – 34 – 55 – 89 – 144 – 233 – 377 – 610.

This strategy involves betting through the addition of the last two bets. The advantage of it is that players are able to earn a profit if they lose more games than if they’ve won. The disadvantage, however, is that the further the player goes in through the sequence, the more money he will lose.

Since this strategy employs an even chance betting system, players can start off with a small bet on either black or red, even or odd, 1-18 or 19-36. If you lose, keep going down the sequence. For example, if you’ve bet $1, bet another $1. If you lose again, bet $2 ($1 + $1). If you win, however, move back two bets in the sequence and bet that amount. The sequence below is an example of how a player would bet in accordance to the Fibonacci strategy:

Bet black, $3 — lose

Bet black, $3 — lose

Bet black, $6 — lose

Bet black, $9 — lose

Bet black, $15 — win

Bet black, $6 — lose

Bet black, $9 — win

Bet black, $3 — win

Bet black, $3 — win

Hence, according to the sequence, although the player have lost five bets and won four, he still has a $3 gain.

Roulette Game – History

Roulette game is a very popular part of the casino and it was named after a similar but smaller French wheel game. Payers can choose to place their bets either on a single number or on a range of numbers, the colors, or if the number is even or odd. In order to determine the winning color or number, the croupier spins a ball in the opposite direction around a tilted circular track which runs around the wheels. When the ball finally loses momentum, it will fall onto the wheel and into one of the 37 (French/European) or 38 (American) pockets.

In the 17th century, Blaise Pascal introduced the primitive roulette during his search for a perpetual motion machine. However, the very first form of roulette ever invented was by the French in the 18th century. The roulette wheel is believed to be a combination of a few English wheel games, including Roly-Poly, Reiner, E.O., and the Ace of Hearts, an Italian board games known as Hoca and Biribi, and a pre-existing French board game.
An early description of the French roulette game was depicted in the 1796 French novel La Roulette, ou le Jour which was written by Jaques Lablee which was published in 1801. “There are exactly two slots reserved for the bank, whence it derives its sole mathematical advantage.” The layout is described by “…two betting spaces containing the bank’s two numbers, zero and double zero.”

The roulette wheel was already being used in the Parisian casinos in the late 1790s and they had red for single zeros and black for double zeros. In 1843, Frenchmen François and Louis Blanc introduced the single 0 roulette wheel while gambling in the German spa casino town, Bad Homburg. This is to compete against other casinos which were offering only traditional wheels with single and double zero pockets.
As for American roulette, there were the numbers 1 to 28, a single 0, double 0, and an American eagle. The eagle slot served as a symbol for the American liberty, giving it the extra edge in the competitive market. However, the tradition soon vanished and the wheels have since featured only numbers.

In the 19th century, roulette became one of the most famous casino games after spreading all across Europe and the US. According to a legend, François Blanc supposedly made a deal with the devil in exchange for the secrets of roulette. This was based on the fact the sums of all the numbers on the roulette (1 to 36) sums up to 666, which is the Number of the Beast.
In the 20th century, Monte Carlo was using the traditional single 0 French wheel while Las Vegas was using the American double 0. By 2008, hundreds of casinos worldwide started offering the roulette game, with the single 0 wheel is predominant.