roulette 100

roleta de 1 a 5 shadow

roulette 100

Se procura pelo drible de futebol, veja roleta (futebol)Foto de uma roleta

A roleta é um jogo de azar muito comum 💻 em casinos.

O termo deriva do francês roulette, que significa "roda pequena".

O uso da roleta como elemento de jogo de azar, 💻 em configurações distintas da atual, não está documentado na entrada da Idade Média.

É de suspeitar que a roulette 100 referência mais 💻 antiga seja a chamada "Roda da Fortuna", conhecida ao longo de toda a história.

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Table of contents:

Learn roulette rules before playing

adas em roulette 100 cor vermelho, preto, Odd ou Even, e duas ficha são colocados em roulette 100 cada

ma das três colunas. 🧬 A teoria é que números suficientes são cobertos em roulette 100 um giro

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Casino game of chance

This article is about the casino game. For other uses, see

Roulette (disambiguation)

Roulette ball

"Gwendolen at the roulette ☀️ table" – 1910

illustration to George Eliot's Daniel Deronda

Roulette (named after the French word

meaning "little wheel") is a casino ☀️ game which was likely developed from the Italian

game Biribi. In the game, a player may choose to place a ☀️ bet on a single number,

various groupings of numbers, the color red or black, whether the number is odd or

☀️ even, or if the numbers are high (19–36) or low (1–18).

To determine the winning

number, a croupier spins a wheel ☀️ in one direction, then spins a ball in the opposite

direction around a tilted circular track running around the outer ☀️ edge of the wheel.

The ball eventually loses momentum, passes through an area of deflectors, and falls

onto the wheel ☀️ and into one of thirty-seven (single-zero, French or European style

roulette) or thirty-eight (double-zero, American style roulette) or thirty-nine

(triple-zero, ☀️ "Sands Roulette")[1] colored and numbered pockets on the wheel. The

winnings are then paid to anyone who has placed a ☀️ successful bet.

History [ edit

]

18th-century E.O. wheel with gamblers

The first form of roulette was devised in

18th-century France. Many historians ☀️ believe Blaise Pascal introduced a primitive form

of roulette in the 17th century in his search for a perpetual motion ☀️ machine. [2] The

roulette mechanism is a hybrid of a gaming wheel invented in 1720 and the Italian game

Biribi.[3] ☀️ A primitive form of roulette, known as 'EO' (Even/Odd), was played in

England in the late 18th century using a ☀️ gaming wheel similar to that used in

roulette.[4]

The game has been played in its present form since as early as ☀️ 1796 in

Paris. An early description of the roulette game in its current form is found in a

French novel ☀️ La Roulette, ou le Jour by Jaques Lablee, which describes a roulette wheel

in the Palais Royal in Paris in ☀️ 1796. The description included the house pockets:

"There are exactly two slots reserved for the bank, whence it derives its ☀️ sole

mathematical advantage." It then goes on to describe the layout with "two betting

spaces containing the bank's two numbers, ☀️ zero and double zero". The book was published

in 1801. An even earlier reference to a game of this name ☀️ was published in regulations

for New France (Québec) in 1758, which banned the games of "dice, hoca, faro, and

roulette".[5]

The ☀️ roulette wheels used in the casinos of Paris in the late 1790s had

red for the single zero and black ☀️ for the double zero. To avoid confusion, the color

green was selected for the zeros in roulette wheels starting in ☀️ the 1800s.

In 1843, in

the German spa casino town of Bad Homburg, fellow Frenchmen François and Louis Blanc

introduced the ☀️ single 0 style roulette wheel in order to compete against other casinos

offering the traditional wheel with single and double ☀️ zero house pockets.[6]

In some

forms of early American roulette wheels, there were numbers 1 to 28, plus a single

zero, ☀️ a double zero, and an American Eagle. The Eagle slot, which was a symbol of

American liberty, was a house ☀️ slot that brought the casino an extra edge. Soon, the

tradition vanished and since then the wheel features only numbered ☀️ slots. According to

Hoyle "the single 0, the double 0, and the eagle are never bars; but when the ball

☀️ falls into either of them, the banker sweeps every thing upon the table, except what

may happen to be bet ☀️ on either one of them, when he pays twenty-seven for one, which is

the amount paid for all sums bet ☀️ upon any single figure".[7]

1800s engraving of the

French roulette

In the 19th century, roulette spread all over Europe and the US,

☀️ becoming one of the most famous and most popular casino games. When the German

government abolished gambling in the 1860s, ☀️ the Blanc family moved to the last legal

remaining casino operation in Europe at Monte Carlo, where they established a ☀️ gambling

mecca for the elite of Europe. It was here that the single zero roulette wheel became

the premier game, ☀️ and over the years was exported around the world, except in the

United States where the double zero wheel remained ☀️ dominant.

Early American West

makeshift game

In the United States, the French double zero wheel made its way up the

Mississippi from ☀️ New Orleans, and then westward. It was here, because of rampant

cheating by both operators and gamblers, that the wheel ☀️ was eventually placed on top of

the table to prevent devices from being hidden in the table or wheel, and ☀️ the betting

layout was simplified. This eventually evolved into the American-style roulette game.

The American game was developed in the ☀️ gambling dens across the new territories where

makeshift games had been set up, whereas the French game evolved with style ☀️ and leisure

in Monte Carlo.

During the first part of the 20th century, the only casino towns of

note were Monte ☀️ Carlo with the traditional single zero French wheel, and Las Vegas with

the American double zero wheel. In the 1970s, ☀️ casinos began to flourish around the

world. In 1996 the first online casino, generally believed to be InterCasino, made it

☀️ possible to play roulette online.[8] By 2008, there were several hundred casinos

worldwide offering roulette games. The double zero wheel ☀️ is found in the U.S., Canada,

South America, and the Caribbean, while the single zero wheel is predominant

elsewhere.

The sum ☀️ of all the numbers on the roulette wheel (from 0 to 36) is 666,

which is the "Number of the ☀️ Beast".[9]

Rules of play against a casino [ edit ]

Roulette

with red 12 as the winner

Roulette players have a variety of ☀️ betting options. "Inside"

bets involve selecting either the exact number on which the ball will land, or a small

group ☀️ of numbers adjacent to each other on the layout. "Outside" bets, by contrast,

allow players to select a larger group ☀️ of numbers based on properties such as their

color or parity (odd/even). The payout odds for each type of bet ☀️ are based on its

probability.

The roulette table usually imposes minimum and maximum bets, and these

rules usually apply separately for ☀️ all of a player's inside and outside bets for each

spin. For inside bets at roulette tables, some casinos may ☀️ use separate roulette table

chips of various colors to distinguish players at the table. Players can continue to

place bets ☀️ as the ball spins around the wheel until the dealer announces "no more bets"

or "rien ne va plus".

Croupier's rake ☀️ pushing chips across a roulette layout

When a

winning number and color is determined by the roulette wheel, the dealer will ☀️ place a

marker, also known as a dolly, on that number on the roulette table layout. When the

dolly is ☀️ on the table, no players may place bets, collect bets or remove any bets from

the table. The dealer will ☀️ then sweep away all losing bets either by hand or by rake,

and determine the payouts for the remaining inside ☀️ and outside winning bets. When the

dealer is finished making payouts, the dolly is removed from the board and players ☀️ may

collect their winnings and make new bets. Winning chips remain on the board until

picked up by a player.

California ☀️ Roulette [ edit ]

In 2004, California legalized a

form of roulette known as California Roulette.[10] By law, the game must ☀️ use cards and

not slots on the roulette wheel to pick the winning number.

Roulette wheel number

sequence [ edit ]

The ☀️ pockets of the roulette wheel are numbered from 0 to 36.

In

number ranges from 1 to 10 and 19 to ☀️ 28, odd numbers are red and even are black. In

ranges from 11 to 18 and 29 to 36, odd ☀️ numbers are black and even are red.

There is a

green pocket numbered 0 (zero). In American roulette, there is a ☀️ second green pocket

marked 00. Pocket number order on the roulette wheel adheres to the following clockwise

sequence in most ☀️ casinos:[citation needed]

Single-zero wheel

0-32-15-19-4-21-2-25-17-34-6-27-13-36-11-30-8-23-10-5-24-16-33-1-20-14-31-9-22-18-29-7-

28-12-35-3-26 Double-zero wheel

0-28-9-26-30-11-7-20-32-17-5-22-34-15-3-24-36-13-1-00-27-10-25-29-12-8-19-31-18-6-21-33

-16-4-23-35-14-2 Triple-zero wheel

0-000-00-32-15-19-4-21-2-25-17-34-6-27-13-36-11-30-8-23-10-5-24-16-33-1-20-14-31-9-22-1

8-29-7-28-12-35-3-26

Roulette table layout [ edit ]

French style layout, French single

zero ☀️ wheel

The cloth-covered betting area on a roulette table is known as the layout.

The layout is either single-zero or double-zero.

The ☀️ European-style layout has a single

zero, and the American style layout is usually a double-zero. The American-style

roulette table with ☀️ a wheel at one end is now used in most casinos because it has a

higher house edge compared to ☀️ a European layout.[11]

The French style table with a

wheel in the centre and a layout on either side is rarely ☀️ found outside of Monte

Carlo.

Types of bets [ edit ]

In roulette, bets can be either inside or

outside.[12]

Inside bets [ ☀️ edit ]

Name Description Chip placement Straight/Single Bet

on a single number Entirely within the square for the chosen number Split ☀️ Bet on two

vertically/horizontally adjacent numbers (e.g. 14-17 or 8–9) On the edge shared by the

numbers Street Bet on ☀️ three consecutive numbers in a horizontal line (e.g. 7-8-9) On

the outer edge of the number at either end of ☀️ the line Corner/Square Bet on four

numbers that meet at one corner (e.g. 10-11-13-14) On the common corner Six Line/Double

☀️ Street Bet on six consecutive numbers that form two horizontal lines (e.g.

31-32-33-34-35-36) On the outer corner shared by the ☀️ two leftmost or the two rightmost

numbers Trio/Basket A three-number bet that involves at least one zero: 0-1-2 (either

layout); ☀️ 0-2-3 (single-zero only); 0-00-2 and 00-2-3 (double-zero only) On the corner

shared by the three chosen numbers First Four Bet ☀️ on 0-1-2-3 (Single-zero layout only)

On the outer corner shared by 0-1 or 0-3 Top Line Bet on 0-00-1-2-3 (Double-zero ☀️ layout

only) On the outer corner shared by 0-1 or 00-3

Outside bets [ edit ]

Outside bets

typically have smaller payouts ☀️ with better odds at winning. Except as noted, all of

these bets lose if a zero comes up.

1 to 18 ☀️ (Low or Manque), or 19 to 36 (High or

Passe) A bet that the number will be in the chosen ☀️ range. Red or black (Rouge ou Noir)

A bet that the number will be the chosen color. Even or odd ☀️ (Pair ou Impair) A bet that

the number will be of the chosen type. Dozen bet A bet that the ☀️ number will be in the

chosen dozen: first (1-12, Première douzaine or P12), second (13-24, Moyenne douzaine

or M12), or ☀️ third (25-36, Dernière douzaine or D12). Column bet A bet that the number

will be in the chosen vertical column ☀️ of 12 numbers, such as 1-4-7-10 on down to 34.

The chip is placed on the space below the final ☀️ number in this sequence. Snake Bet A

special bet that covers the numbers 1, 5, 9, 12, 14, 16, 19, ☀️ 23, 27, 30, 32, and 34. It

has the same payout as the dozen bet and takes its name from ☀️ the zigzagging, snakelike

pattern traced out by these numbers. The snake bet is not available in all casinos;

when it ☀️ is allowed, the chip is placed on the lower corner of the 34 square that

borders the 19-36 betting box. ☀️ Some layouts mark the bet with a two-headed snake that

winds from 1 to 34, and the bet can be ☀️ placed on the head at either end of the body.

In

the United Kingdom, the farthest outside bets (low/high, red/black, even/odd) ☀️ result in

the player losing only half of their bet if a zero comes up.

Bet odds table [ edit

]

The ☀️ expected value of aR$1 bet (except for the special case of Top line bets), for

American and European roulette, can ☀️ be calculated as

e x p e c t e d v a l u e = 1 n (

36 ☀️ − n ) = 36 n − 1 , {\displaystyle \mathrm {expectedvalue} ={\frac

{1}{n}}(36-n)={\frac {36}{n}}-1,}

where n is the number of ☀️ pockets in the wheel.

The

initial bet is returned in addition to the mentioned payout: it can be easily

demonstrated that ☀️ this payout formula would lead to a zero expected value of profit if

there were only 36 numbers (that is, ☀️ the casino would break even). Having 37 or more

numbers gives the casino its edge.

Bet name Winning spaces Payout Odds ☀️ against winning

(French) Expected value

(on aR$1 bet) (French) Odds against winning (American) Expected

value

(on aR$1 bet) (American) 0 0 35 ☀️ to 1 36 to 1 −$0.027 37 to 1 −$0.053 00 00 35 to

1 37 to 1 −$0.053 Straight ☀️ up Any single number 35 to 1 36 to 1 −$0.027 37 to 1 −$0.053

Row 0, 00 17 to ☀️ 1 18 to 1 −$0.053 Split any two adjoining numbers vertical or

horizontal 17 to 1 17 + 1 ⁄ ☀️ 2 to 1 −$0.027 18 to 1 −$0.053 Street any three numbers

horizontal (1, 2, 3 or 4, 5, 6, ☀️ etc.) 11 to 1 11 + 1 ⁄ 3 to 1 −$0.027 11 + 2 ⁄ 3 to 1

−$0.053 ☀️ Corner any four adjoining numbers in a block (1, 2, 4, 5 or 17, 18, 20, 21,

etc.) 8 to ☀️ 1 8 + 1 ⁄ 4 to 1 −$0.027 8 + 1 ⁄ 2 to 1 −$0.053 Top line (US) ☀️ 0, 00, 1, 2, 3

6 to 1 6 + 3 ⁄ 5 to 1 −$0.079 Top line (European) 0, ☀️ 1, 2, 3 8 to 1 8 + 1 ⁄ 4 to 1

−$0.027 Double Street any six numbers from ☀️ two horizontal rows (1, 2, 3, 4, 5, 6 or 28,

29, 30, 31, 32, 33 etc.) 5 to 1 ☀️ 5 + 1 ⁄ 6 to 1 −$0.027 5 + 1 ⁄ 3 to 1 −$0.053 1st

column 1, 4, ☀️ 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 2 to 1 2 + 1 ⁄ 12 to 1 ☀️ −$0.027 2 + 1

⁄ 6 to 1 −$0.053 2nd column 2, 5, 8, 11, 14, 17, 20, 23, 26, ☀️ 29, 32, 35 2 to 1 2 + 1 ⁄

12 to 1 −$0.027 2 + 1 ⁄ 6 to ☀️ 1 −$0.053 3rd column 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,

33, 36 2 to 1 2 ☀️ + 1 ⁄ 12 to 1 −$0.027 2 + 1 ⁄ 6 to 1 −$0.053 1st dozen 1 through 12 ☀️ 2

to 1 2 + 1 ⁄ 12 to 1 −$0.027 2 + 1 ⁄ 6 to 1 −$0.053 2nd ☀️ dozen 13 through 24 2 to 1 2 +

1 ⁄ 12 to 1 −$0.027 2 + 1 ⁄ 6 ☀️ to 1 −$0.053 3rd dozen 25 through 36 2 to 1 2 + 1 ⁄ 12 to

1 −$0.027 2 ☀️ + 1 ⁄ 6 to 1 −$0.053 Odd 1, 3, 5, ..., 35 1 to 1 1 + 1 ⁄ ☀️ 18 to 1 −$0.027 1

+ 1 ⁄ 9 to 1 −$0.053 Even 2, 4, 6, ..., 36 1 to ☀️ 1 1 + 1 ⁄ 18 to 1 −$0.027 1 + 1 ⁄ 9 to

1 −$0.053 Red 32, 19, ☀️ 21, 25, 34, 27, 36, 30, 23, 5, 16, 1, 14, 9, 18, 7, 12, 3 1 to 1

1 ☀️ + 1 ⁄ 18 to 1 −$0.027 1 + 1 ⁄ 9 to 1 −$0.053 Black 15, 4, 2, 17, ☀️ 6, 13, 11, 8, 10,

24, 33, 20, 31, 22, 29, 28, 35, 26 1 to 1 1 + 1 ☀️ ⁄ 18 to 1 −$0.027 1 + 1 ⁄ 9 to 1

−$0.053 1 to 18 1, 2, 3, ..., ☀️ 18 1 to 1 1 + 1 ⁄ 18 to 1 −$0.027 1 + 1 ⁄ 9 to 1 −$0.053

☀️ 19 to 36 19, 20, 21, ..., 36 1 to 1 1 + 1 ⁄ 18 to 1 −$0.027 1 ☀️ + 1 ⁄ 9 to 1 −$0.053

Top

line (0, 00, 1, 2, 3) has a different expected value because of ☀️ approximation of the

correct 6+1⁄5-to-1 payout obtained by the formula to 6-to-1. The values 0 and 00 are

not odd ☀️ or even, or high or low.

En prison rules, when used, reduce the house

advantage.

House edge [ edit ]

The house average ☀️ or house edge or house advantage (also

called the expected value) is the amount the player loses relative to any ☀️ bet made, on

average. If a player bets on a single number in the American game there is a

probability ☀️ of 1⁄38 that the player wins 35 times the bet, and a 37⁄38 chance that the

player loses their bet. ☀️ The expected value is:

−1 × 37 ⁄ 38 + 35 × 1 ⁄ 38 = −0.0526

(5.26% house edge)

For European ☀️ roulette, a single number wins 1⁄37 and loses 36⁄37:

−1

× 36 ⁄ 37 + 35 × 1 ⁄ 37 = ☀️ −0.0270 (2.70% house edge)

For triple-zero wheels, a single

number wins 1⁄39 and loses 38⁄39:

−1 × 38 ⁄ 39 + 35 ☀️ × 1 ⁄ 39 = −0.0769 (7.69% house

edge)

Mathematical model [ edit ]

As an example, the European roulette model, that ☀️ is,

roulette with only one zero, can be examined. Since this roulette has 37 cells with

equal odds of hitting, ☀️ this is a final model of field probability ( Ω , 2 Ω , P )

{\displaystyle (\Omega ,2^{\Omega },\mathbb ☀️ {P} )} , where Ω = { 0 , … , 36 }

{\displaystyle \Omega =\{0,\ldots ,36\}} , P ( ☀️ A ) = | A | 37 {\displaystyle \mathbb

{P} (A)={\frac {|A|}{37}}} for all A ∈ 2 Ω {\displaystyle A\in ☀️ 2^{\Omega }} .

Call the

bet S {\displaystyle S} a triple ( A , r , ξ ) {\displaystyle (A,r,\xi )} ☀️ , where A

{\displaystyle A} is the set of chosen numbers, r ∈ R + {\displaystyle r\in \mathbb {R}

_{+}} ☀️ is the size of the bet, and ξ : Ω → R {\displaystyle \xi :\Omega \to \mathbb {R}

} determines ☀️ the return of the bet.[13]

The rules of European roulette have 10 types of

bets. First the 'Straight Up' bet can ☀️ be imagined. In this case, S = ( { ω 0 } , r , ξ

) {\displaystyle S=(\{\omega _{0}\},r,\xi ☀️ )} , for some ω 0 ∈ Ω {\displaystyle \omega

_{0}\in \Omega } , and ξ {\displaystyle \xi } is ☀️ determined by

ξ ( ω ) = { − r , ω ≠ ω

0 35 ⋅ r , ω = ☀️ ω 0 . {\displaystyle \xi (\omega )={\begin{cases}-r,&\omega

eq \omega

_{0}\\35\cdot r,&\omega =\omega _{0}\end{cases}}.}

The bet's expected net return, or

profitability, is equal ☀️ to

M [ ξ ] = 1 37 ∑ ω ∈ Ω ξ ( ω ) = 1 37 ( ξ ☀️ ( ω 0 ) + ∑ ω ≠ ω

0 ξ ( ω ) ) = 1 37 ( 35 ☀️ ⋅ r − 36 ⋅ r ) = − r 37 ≈ − 0.027 r . {\displaystyle M[\xi

]={\frac {1}{37}}\sum ☀️ _{\omega \in \Omega }\xi (\omega )={\frac {1}{37}}\left(\xi

(\omega _{0})+\sum _{\omega

eq \omega _{0}}\xi (\omega )\right)={\frac

{1}{37}}\left(35\cdot r-36\cdot r\right)=-{\frac {r}{37}}\approx -0.027r.}

Without

details, ☀️ for a bet, black (or red), the rule is determined as

ξ ( ω ) = { − r , ω ☀️ is

red − r , ω = 0 r , ω is black , {\displaystyle \xi (\omega )={\begin{cases}-r,&\omega

{\text{ is ☀️ red}}\\-r,&\omega =0\\r,&\omega {\text{ is black}}\end{cases}},}

and the

profitability

M [ ξ ] = 1 37 ( 18 ⋅ r − 18 ⋅ ☀️ r − r ) = − r 37 {\displaystyle M[\xi

]={\frac {1}{37}}(18\cdot r-18\cdot r-r)=-{\frac {r}{37}}}

For similar reasons it is

simple ☀️ to see that the profitability is also equal for all remaining types of bets. − r

37 {\displaystyle -{\frac {r}{37}}} ☀️ .[14]

In reality this means that, the more bets a

player makes, the more they are going to lose independent of ☀️ the strategies

(combinations of bet types or size of bets) that they employ:

∑ n = 1 ∞ M [ ξ ☀️ n ] = − 1

37 ∑ n = 1 ∞ r n → − ∞ . {\displaystyle \sum _{n=1}^{\infty ☀️ }M[\xi _{n}]=-{\frac

{1}{37}}\sum _{n=1}^{\infty }r_{n}\to -\infty .}

Here, the profit margin for the

roulette owner is equal to approximately 2.7%. Nevertheless, ☀️ several roulette strategy

systems have been developed despite the losing odds. These systems can not change the

odds of the ☀️ game in favor of the player.

It is worth noting that the odds for the

player in American roulette are even ☀️ worse, as the bet profitability is at worst − 3 38

r ≈ − 0.0789 r {\displaystyle -{\frac {3}{38}}r\approx -0.0789r} ☀️ , and never better

than − r 19 ≈ − 0.0526 r {\displaystyle -{\frac {r}{19}}\approx -0.0526r} .

Simplified

mathematical model [ ☀️ edit ]

For a roulette wheel with n {\displaystyle n} green numbers

and 36 other unique numbers, the chance of the ☀️ ball landing on a given number is 1 ( 36

+ n ) {\displaystyle {\frac {1}{(36+n)}}} . For a betting ☀️ option with p {\displaystyle

p} numbers defining a win, the chance of winning a bet is p ( 36 + ☀️ n ) {\displaystyle

{\frac {p}{(36+n)}}}

For example, if a player bets on red, there are 18 red numbers, p

= 18 ☀️ {\displaystyle p=18} , so the chance of winning is 18 ( 36 + n ) {\displaystyle

{\frac {18}{(36+n)}}} .

The payout ☀️ given by the casino for a win is based on the

roulette wheel having 36 outcomes, and the payout for ☀️ a bet is given by 36 p

{\displaystyle {\frac {36}{p}}} .

For example, betting on 1-12 there are 12 numbers

that ☀️ define a win, p = 12 {\displaystyle p=12} , the payout is 36 12 = 3 {\displaystyle

{\frac {36}{12}}=3} , ☀️ so the bettor wins 3 times their bet.

The average return on a

player's bet is given by p ( 36 ☀️ + n ) × 36 p = 36 ( 36 + n ) {\displaystyle {\frac

{p}{(36+n)}}\times {\frac {36}{p}}={\frac {36}{(36+n)}}}

For n ☀️ > 0 {\displaystyle n>0}

, the average return is always lower than 1, so on average a player will lose

☀️ money.

With 1 green number, n = 1 {\displaystyle n=1} , the average return is 36 37

{\displaystyle {\frac {36}{37}}} , ☀️ that is, after a bet the player will on average have

36 37 {\displaystyle {\frac {36}{37}}} of their original bet ☀️ returned to them. With 2

green numbers, n = 2 {\displaystyle n=2} , the average return is 36 38 {\displaystyle

☀️ {\frac {36}{38}}} . With 3 green numbers, n = 3 {\displaystyle n=3} , the average

return is 36 39 {\displaystyle ☀️ {\frac {36}{39}}} .

This shows that the expected return

is independent of the choice of bet.

Mechanics [ edit ]

All roulette tables ☀️ deal with

only four elements:

1. The roulette wheel.

2. The roulette table (aka layout).

3. The

ball. These days the ball is ☀️ most likely high impact plastic, but originally it was

made of ivory. Modern casinos maintain the integrity of their roulette ☀️ balls with

regular magnetic and x-ray exams.

4. The chips. Some casinos allow the player to use

generic casino chips at ☀️ the roulette tables, but most require the player to buy in at

the table. The croupier has stacks of various ☀️ colored chips. Usually each player gets a

different color to help avoid confusion of bets, and the player can designate ☀️ the value

of the chip. The chips are typically valued at eitherR$1 or the table minimum; if the

player wishes, ☀️ the chips may be worthR$0.25 so long as the "total" wager meets the

table minimums for their respective sectors, for ☀️ example by placing fourR$0.25 bets to

meet aR$1 table minimum.

All roulette tables operated by a casino have the same basic

☀️ mechanics:

There is a balanced mechanical wheel with colored pockets separated by

identical vanes and the wheel which spins freely on ☀️ a supporting post.

The wheel is

held within a wooden frame which contains a track around the upper outer edge and

☀️ blocks of a variety of designs placed approximately halfway down the face of the

frame.

A plastic or ivory ball is ☀️ spun in the track in the frame that holds the wheel.

As the ball loses momentum the centrifugal force is ☀️ no longer sufficient to hold the

ball in the groove and it falls down the face of the frame. As ☀️ the ball hits a block

its trajectory is randomly altered on all 3 planes (X, Y, and Z) causing the ☀️ ball to

bounce and skip.

The ball falls onto the spinning wheel and eventually lands into one

of the pockets.

The number ☀️ of the pocket the ball falls into determines how the bets

placed on the layout table are treated.

After this the ☀️ specifics of individual tables

can vary greatly.[15]

Called (or call) bets or announced bets [ edit ]

Traditional

roulette wheel sectors

Although most ☀️ often named "call bets" technically these bets are

more accurately referred to as "announced bets". The legal distinction between a ☀️ "call

bet" and an "announced bet" is that a "call bet" is a bet called by the player without

placing ☀️ any money on the table to cover the cost of the bet. In many jurisdictions

(most notably the United Kingdom) ☀️ this is considered gambling on credit and is illegal.

An "announced bet" is a bet called by the player for ☀️ which they immediately place

enough money to cover the amount of the bet on the table, prior to the outcome ☀️ of the

spin or hand in progress being known.

There are different number series in roulette

that have special names attached ☀️ to them. Most commonly these bets are known as "the

French bets" and each covers a section of the wheel. ☀️ For the sake of accuracy, zero

spiel, although explained below, is not a French bet, it is more accurately "the ☀️ German

bet". Players at a table may bet a set amount per series (or multiples of that amount).

The series ☀️ are based on the way certain numbers lie next to each other on the roulette

wheel. Not all casinos offer ☀️ these bets, and some may offer additional bets or

variations on these.

Voisins du zéro (neighbors of zero) [ edit ]

This ☀️ is a name, more

accurately "grands voisins du zéro", for the 17 numbers that lie between 22 and 25 on

☀️ the wheel, including 22 and 25 themselves. The series is

22-18-29-7-28-12-35-3-26-0-32-15-19-4-21-2-25 (on a single-zero wheel).

Nine chips or

multiples thereof are ☀️ bet. Two chips are placed on the 0-2-3 trio; one on the 4–7

split; one on 12–15; one on 18–21; ☀️ one on 19–22; two on the 25-26-28-29 corner; and one

on 32–35.

Jeu zéro (zero game) [ edit ]

Zero game, also ☀️ known as zero spiel (Spiel is

German for game or play), is the name for the numbers closest to zero. ☀️ All numbers in

the zero game are included in the voisins, but are placed differently. The numbers bet

on are ☀️ 12-35-3-26-0-32-15.

The bet consists of four chips or multiples thereof. Three

chips are bet on splits and one chip straight-up: one ☀️ chip on 0–3 split, one on 12–15

split, one on 32–35 split and one straight-up on number 26.

This type of ☀️ bet is popular

in Germany and many European casinos. It is also offered as a 5-chip bet in many

Eastern ☀️ European casinos. As a 5-chip bet, it is known as "zero spiel naca" and

includes, in addition to the chips ☀️ placed as noted above, a straight-up on number

19.

Le tiers du cylindre (third of the wheel) [ edit ]

This is ☀️ the name for the 12

numbers that lie on the opposite side of the wheel between 27 and 33, including ☀️ 27 and

33 themselves. On a single-zero wheel, the series is 27-13-36-11-30-8-23-10-5-24-16-33.

The full name (although very rarely used, most ☀️ players refer to it as "tiers") for this

bet is "le tiers du cylindre" (translated from French into English meaning ☀️ one third of

the wheel) because it covers 12 numbers (placed as 6 splits), which is as close to 1⁄3

☀️ of the wheel as one can get.

Very popular in British casinos, tiers bets outnumber

voisins and orphelins bets by a ☀️ massive margin.

Six chips or multiples thereof are bet.

One chip is placed on each of the following splits: 5–8, 10–11, ☀️ 13–16, 23–24, 27–30,

and 33–36.

The tiers bet is also called the "small series" and in some casinos (most

notably in ☀️ South Africa) "series 5-8".

A variant known as "tiers 5-8-10-11" has an

additional chip placed straight up on 5, 8, 10, ☀️ and 11m and so is a 10-piece bet. In

some places the variant is called "gioco Ferrari" with a straight ☀️ up on 8, 11, 23 and

30, the bet is marked with a red G on the racetrack.

Orphelins (orphans) [ ☀️ edit ]

These

numbers make up the two slices of the wheel outside the tiers and voisins. They contain

a total ☀️ of 8 numbers, comprising 17-34-6 and 1-20-14-31-9.

Five chips or multiples

thereof are bet on four splits and a straight-up: one ☀️ chip is placed straight-up on 1

and one chip on each of the splits: 6–9, 14–17, 17–20, and 31–34.

... and ☀️ the neighbors

[ edit ]

A number may be backed along with the two numbers on the either side of it ☀️ in

a 5-chip bet. For example, "0 and the neighbors" is a 5-chip bet with one piece

straight-up on 3, ☀️ 26, 0, 32, and 15. Neighbors bets are often put on in combinations,

for example "1, 9, 14, and the ☀️ neighbors" is a 15-chip bet covering 18, 22, 33, 16 with

one chip, 9, 31, 20, 1 with two chips ☀️ and 14 with three chips.

Any of the above bets

may be combined, e.g. "orphelins by 1 and zero and the ☀️ neighbors by 1". The "...and the

neighbors" is often assumed by the croupier.

Final bets [ edit ]

Another bet offered on

☀️ the single-zero game is "final", "finale" or "finals".

Final 4, for example, is a

4-chip bet and consists of one chip ☀️ placed on each of the numbers ending in 4, that is

4, 14, 24, and 34. Final 7 is a ☀️ 3-chip bet, one chip each on 7, 17, and 27. Final bets

from final 0 (zero) to final 6 cost ☀️ four chips. Final bets 7, 8 and 9 cost three

chips.

Some casinos also offer split-final bets, for example final 5-8 ☀️ would be a

4-chip bet, one chip each on the splits 5–8, 15–18, 25–28, and one on 35.

Full

completes/maximums [ ☀️ edit ]

A complete bet places all of the inside bets on a certain

number. Full complete bets are most often ☀️ bet by high rollers as maximum bets.

The

maximum amount allowed to be wagered on a single bet in European roulette ☀️ is based on a

progressive betting model. If the casino allows a maximum bet ofR$1,000 on a 35-to-1

straight-up, then ☀️ on each 17-to-1 split connected to that straight-up,R$2,000 may be

wagered. Each 8-to-1 corner that covers four numbers) may haveR$4,000 ☀️ wagered on it.

Each 11-to-1 street that covers three numbers may haveR$3,000 wagered on it. Each

5-to-1 six-line may haveR$6,000 ☀️ wagered on it. EachR$1,000 incremental bet would be

represented by a marker that is used to specifically identify the player ☀️ and the amount

bet.

For instance, if a patron wished to place a full complete bet on 17, the player

would ☀️ call "17 to the maximum". This bet would require a total of 40 chips, orR$40,000.

To manually place the same ☀️ wager, the player would need to bet:

17 to the maximum Bet

type Number(s) bet on Chips Amount waged Straight-up 17 ☀️ 1R$1,000 Split 14-17 2R$2,000

Split 16-17 2R$2,000 Split 17-18 2R$2,000 Split 17-20 2R$2,000 Street 16-17-18 3R$3,000

Corner 13-14-16-17 4R$4,000 Corner ☀️ 14-15-17-18 4R$4,000 Corner 16-17-19-20 4R$4,000

Corner 17-18-20-21 4R$4,000 Six line 13-14-15-16-17-18 6R$6,000 Six line

16-17-18-19-20-21 6R$6,000 Total 40R$40,000

The player calls ☀️ their bet to the croupier

(most often after the ball has been spun) and places enough chips to cover the ☀️ bet on

the table within reach of the croupier. The croupier will immediately announce the bet

(repeat what the player ☀️ has just said), ensure that the correct monetary amount has

been given while simultaneously placing a matching marker on the ☀️ number on the table

and the amount wagered.

The payout for this bet if the chosen number wins is 392 chips,

☀️ in the case of aR$1000 straight-up maximum,R$40,000 bet, a payout ofR$392,000. The

player's wagered 40 chips, as with all winning ☀️ bets in roulette, are still their

property and in the absence of a request to the contrary are left up ☀️ to possibly win

again on the next spin.

Based on the location of the numbers on the layout, the number

of ☀️ chips required to "complete" a number can be determined.

Zero costs 17 chips to

complete and pays 235 chips.

Number 1 and ☀️ number 3 each cost 27 chips and pay 297

chips.

Number 2 is a 36-chip bet and pays 396 chips.

1st column ☀️ numbers 4 to 31 and 3rd

column numbers 6 to 33, cost 30 chips each to complete. The payout for ☀️ a win on these

30-chip bets is 294 chips.

2nd column numbers 5 to 32 cost 40 chips each to complete.

☀️ The payout for a win on these numbers is 392 chips.

Numbers 34 and 36 each cost 18

chips and pay ☀️ 198 chips.

Number 35 is a 24-chip bet which pays 264 chips.

Most

typically (Mayfair casinos in London and other top-class European ☀️ casinos) with these

maximum or full complete bets, nothing (except the aforementioned maximum button) is

ever placed on the layout ☀️ even in the case of a win. Experienced gaming staff, and the

type of customers playing such bets, are fully ☀️ aware of the payouts and so the croupier

simply makes up the correct payout, announces its value to the table ☀️ inspector (floor

person in the U.S.) and the customer, and then passes it to the customer, but only

after a ☀️ verbal authorization from the inspector has been received.

Also typically at

this level of play (house rules allowing) the experienced croupier ☀️ caters to the needs

of the customer and will most often add the customer's winning bet to the payout, as

☀️ the type of player playing these bets very rarely bets the same number two spins in

succession. For example, the ☀️ winning 40-chip /R$40,000 bet on "17 to the maximum" pays

392 chips /R$392,000. The experienced croupier would pay the player ☀️ 432 chips

/R$432,000, that is 392 + 40, with the announcement that the payout "is with your bet

down".

There are ☀️ also several methods to determine the payout when a number adjacent to

a chosen number is the winner, for example, ☀️ player bets 40 chips on "23 to the maximum"

and number 26 is the winning number. The most notable method ☀️ is known as the "station"

system or method. When paying in stations, the dealer counts the number of ways or

☀️ stations that the winning number hits the complete bet. In the example above, 26 hits 4

stations - 2 different ☀️ corners, 1 split and 1 six-line. The dealer takes the number 4,

multiplies it by 30 and adds the remaining ☀️ 8 to the payout: 4 × 30 = 120, 120 + 8 =

128. If calculated as stations, they would ☀️ just multiply 4 by 36, making 144 with the

players bet down.

In some casinos, a player may bet full complete ☀️ for less than the

table straight-up maximum, for example, "number 17 full complete byR$25" would

costR$1000, that is 40 chips ☀️ each atR$25 value.

Betting strategies and tactics [ edit

]

Over the years, many people have tried to beat the casino, and ☀️ turn roulette—a game

designed to turn a profit for the house—into one on which the player expects to win.

Most ☀️ of the time this comes down to the use of betting systems, strategies which say

that the house edge can ☀️ be beaten by simply employing a special pattern of bets, often

relying on the "Gambler's fallacy", the idea that past ☀️ results are any guide to the

future (for example, if a roulette wheel has come up 10 times in a ☀️ row on red, that red

on the next spin is any more or less likely than if the last spin ☀️ was black).

All

betting systems that rely on patterns, when employed on casino edge games will result,

on average, in the ☀️ player losing money.[16] In practice, players employing betting

systems may win, and may indeed win very large sums of money, ☀️ but the losses (which,

depending on the design of the betting system, may occur quite rarely) will outweigh

the wins. ☀️ Certain systems, such as the Martingale, described below, are extremely

risky, because the worst-case scenario (which is mathematically certain to ☀️ happen, at

some point) may see the player chasing losses with ever-bigger bets until they run out

of money.

The American ☀️ mathematician Patrick Billingsley said[17][unreliable source?]

that no betting system can convert a subfair game into a profitable enterprise. At

least ☀️ in the 1930s, some professional gamblers were able to consistently gain an edge

in roulette by seeking out rigged wheels ☀️ (not difficult to find at that time) and

betting opposite the largest bets.

Prediction methods [ edit ]

Whereas betting systems

are ☀️ essentially an attempt to beat the fact that a geometric series with initial value

of 0.95 (American roulette) or 0.97 ☀️ (European roulette) will inevitably over time tend

to zero, engineers instead attempt to overcome the house edge through predicting the

☀️ mechanical performance of the wheel, most notably by Joseph Jagger at Monte Carlo in

1873. These schemes work by determining ☀️ that the ball is more likely to fall at certain

numbers. If effective, they raise the return of the game ☀️ above 100%, defeating the

betting system problem.

Edward O. Thorp (the developer of card counting and an early

hedge-fund pioneer) and ☀️ Claude Shannon (a mathematician and electronic engineer best

known for his contributions to information theory) built the first wearable computer ☀️ to

predict the landing of the ball in 1961. This system worked by timing the ball and

wheel, and using ☀️ the information obtained to calculate the most likely octant where the

ball would fall. Ironically, this technique works best with ☀️ an unbiased wheel though it

could still be countered quite easily by simply closing the table for betting before

beginning ☀️ the spin.

In 1982, several casinos in Britain began to lose large sums of

money at their roulette tables to teams ☀️ of gamblers from the US. Upon investigation by

the police, it was discovered they were using a legal system of ☀️ biased wheel-section

betting. As a result of this, the British roulette wheel manufacturer John Huxley

manufactured a roulette wheel to ☀️ counteract the problem.

The new wheel, designed by

George Melas, was called "low profile" because the pockets had been drastically reduced

☀️ in depth, and various other design modifications caused the ball to descend in a

gradual approach to the pocket area. ☀️ In 1986, when a professional gambling team headed

by Billy Walters wonR$3.8 million using the system on an old wheel ☀️ at the Golden Nugget

in Atlantic City, every casino in the world took notice, and within one year had

switched ☀️ to the new low-profile wheel.

Thomas Bass, in his book The Eudaemonic Pie

(1985) (published as The Newtonian Casino in Britain), ☀️ has claimed to be able to

predict wheel performance in real time. The book describes the exploits of a group ☀️ of

University of California Santa Cruz students, who called themselves the Eudaemons, who

in the late 1970s used computers in ☀️ their shoes to win at roulette. This is an updated

and improved version of Edward O. Thorp's approach, where Newtonian ☀️ Laws of Motion are

applied to track the roulette ball's deceleration; hence the British title.

In the

early 1990s, Gonzalo Garcia-Pelayo ☀️ believed that casino roulette wheels were not

perfectly random, and that by recording the results and analysing them with a ☀️ computer,

he could gain an edge on the house by predicting that certain numbers were more likely

to occur next ☀️ than the 1-in-36 odds offered by the house suggested. He did this at the

Casino de Madrid in Madrid, Spain, ☀️ winning 600,000 euros in a single day, and one

million euros in total. Legal action against him by the casino ☀️ was unsuccessful, being

ruled that the casino should fix its wheel.[18][19]

To defend against exploits like

these, many casinos use tracking ☀️ software, use wheels with new designs, rotate wheel

heads, and randomly rotate pocket rings.[20]

At the Ritz London casino in March ☀️ 2004,

two Serbs and a Hungarian used a laser scanner hidden inside a mobile phone linked to a

computer to ☀️ predict the sector of the wheel where the ball was most likely to drop.

They netted £1.3m in two nights.[21] ☀️ They were arrested and kept on police bail for

nine months, but eventually released and allowed to keep their winnings ☀️ as they had not

interfered with the casino equipment.[22]

Specific betting systems [ edit ]

The

numerous even-money bets in roulette have ☀️ inspired many players over the years to

attempt to beat the game by using one or more variations of a ☀️ martingale betting

strategy, wherein the gambler doubles the bet after every loss, so that the first win

would recover all ☀️ previous losses, plus win a profit equal to the original bet. The

problem with this strategy is that, remembering that ☀️ past results do not affect the

future, it is possible for the player to lose so many times in a ☀️ row, that the player,

doubling and redoubling their bets, either runs out of money or hits the table limit. A

☀️ large financial loss is certain in the long term if the player continued to employ this

strategy. Another strategy is ☀️ the Fibonacci system, where bets are calculated according

to the Fibonacci sequence. Regardless of the specific progression, no such strategy ☀️ can

statistically overcome the casino's advantage, since the expected value of each allowed

bet is negative.

Types of betting system [ ☀️ edit ]

Betting systems in roulette can be

divided in to two main categories:

Negative progression system (e.g.

Martingale)

Negative progression systems involve ☀️ increasing the size of one's bet when

they lose. This is the most common type of betting system. The goal ☀️ of this system is

to recoup losses faster so that one can return to a winning position more quickly after

☀️ a losing streak. The typical shape of these systems is small but consistent wins

followed by occasional catastrophic losses. Examples ☀️ of negative progression systems

include the Martingale system, the Fibonacci system, the Labouchère system, and the

d'Alembert system.

Positive progression system ☀️ (e.g. Paroli)

Positive progression

systems involve increasing the size of one's bet when one wins. The goal of these

systems is ☀️ to either exacerbate the effects of winning streaks (e.g. the Paroli system)

or to take advantage of changes in luck ☀️ to recover more quickly from previous losses

(e.g. Oscar's grind). The shape of these systems is typically small but consistent

☀️ losses followed by occasional big wins. However, over the long run these wins do not

compensate for the losses incurred ☀️ in between.[23]

Reverse Martingale system [ edit

]

The Reverse Martingale system, also known as the Paroli system, follows the idea of

☀️ the martingale betting strategy, but reversed. Instead of doubling a bet after a loss

the gambler doubles the bet after ☀️ every win. The system creates a false feeling of

eliminating the risk of betting more when losing, but, in reality, ☀️ it has the same

problem as the martingale strategy. By doubling bets after every win, one keeps betting

everything they ☀️ have won until they either stop playing, or lose it all.

Labouchère

system [ edit ]

The Labouchère System is a progression ☀️ betting strategy like the

martingale but does not require the gambler to risk their stake as quickly with

dramatic double-ups. ☀️ The Labouchere System involves using a series of numbers in a line

to determine the bet amount, following a win ☀️ or a loss. Typically, the player adds the

numbers at the front and end of the line to determine the ☀️ size of the next bet. If the

player wins, they cross out numbers and continue working on the smaller line. ☀️ If the

player loses, then they add their previous bet to the end of the line and continue to

work ☀️ on the longer line. This is a much more flexible progression betting system and

there is much room for the ☀️ player to design their initial line to their own playing

preference.

This system is one that is designed so that when ☀️ the player has won over a

third of their bets (less than the expected 18/38), they will win. Whereas the

☀️ martingale will cause ruin in the event of a long sequence of successive losses, the

Labouchère system will cause bet ☀️ size to grow quickly even where a losing sequence is

broken by wins. This occurs because as the player loses, ☀️ the average bet size in the

line increases.

As with all other betting systems, the average value of this system is

☀️ negative.

D'Alembert system [ edit ]

The system, also called montant et demontant (from

French, meaning upwards and downwards), is often called ☀️ a pyramid system. It is based

on a mathematical equilibrium theory devised by a French mathematician of the same

name. ☀️ Like the martingale, this system is mainly applied to the even-money outside

bets, and is favored by players who want ☀️ to keep the amount of their bets and losses to

a minimum. The betting progression is very simple: After each ☀️ loss, one unit is added

to the next bet, and after each win, one unit is deducted from the next ☀️ bet. Starting

with an initial bet of, say, 1 unit, a loss would raise the next bet to 2 units. ☀️ If

this is followed by a win, the next bet would be 1 units.

This betting system relies on

the gambler's ☀️ fallacy—that the player is more likely to lose following a win, and more

likely to win following a loss.

Other systems ☀️ [ edit ]

There are numerous other betting

systems that rely on this fallacy, or that attempt to follow 'streaks' (looking ☀️ for

patterns in randomness), varying bet size accordingly.

Many betting systems are sold

online and purport to enable the player to ☀️ 'beat' the odds. One such system was

advertised by Jason Gillon of Rotherham, UK, who claimed one could 'earn £200 ☀️ daily' by

following his betting system, described as a 'loophole'. As the system was advertised

in the UK press, it ☀️ was subject to Advertising Standards Authority regulation, and

following a complaint, it was ruled by the ASA that Mr. Gillon ☀️ had failed to support

his claims, and that he had failed to show that there was any loophole.

Notable

winnings [ ☀️ edit ]

In the 1960s and early 1970s, Richard Jarecki won aboutR$1.2 million

at dozens of European casinos. He claimed that ☀️ he was using a mathematical system

designed on a powerful computer. In reality, he simply observed more than 10,000 spins

☀️ of each roulette wheel to determine flaws in the wheels. Eventually the casinos

realized that flaws in the wheels could ☀️ be exploited, and replaced older wheels. The

manufacture of roulette wheels has improved over time. [24]

In 1963 Sean Connery,

filming ☀️ From Russia with Love in Italy, attended the casino in Saint-Vincent and won

three consecutive times on the number 17, ☀️ his winnings riding on the second and third

spins. [25]

in Italy, attended the casino in Saint-Vincent and won three consecutive

☀️ times on the number 17, his winnings on the second and third spins. In 2004, Ashley

Revell of London sold ☀️ all of his possessions, clothing included, and placed his entire

net worth of US$135,300 on red at the Plaza Hotel ☀️ in Las Vegas. The ball landed on "Red

7" and Revell walked away withR$270,600.[26]

See also [ edit ]

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