Roulette-Simulator.info - Rules of Roulette

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Odds and Chances

The winning probability is the value, which can be calculated by the aid of probability theory. Percentage values are most meaningful here. A probability of 100 percent means the safe arrival of an event, and a value of 0, the safe lack of an event. The payout ratio describes the relationship between the stake and the payouts. The terms of odds and payout ratio are used synonymously. In roulette the payout ratio increases proportionally with decreasing probability. In other words: the the lower the probability, the higher the payout.


The sheet below explains the roulette rules for different types of bets. The odds for each betting type depends on its probability. The roulette desk usually imposes minimum and maximum bets. 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.

Payouts Probability Bet example
Straight Bet / Plein / 1 number 1 : 35 1 : 37 = 2.7%
Straight Bet
Cheval / Split bet / 2 numbers 1 : 17 2 : 37 = 5.4%
Split Bet
Transversale Plein / Street bet / 3 numbers 1 : 11 3 : 37 = 8.1%
Street Bet
Square bet / Carre / Corner bet / 4 numbers 1 : 8 4 : 37 = 10.8%
Carre
Double Street Transversale Simple / Six Line | 6 numbers 1 : 5 6 : 37 = 16.2%
Double Street Bet
Dozens, Columns / 12 numbers 1 : 2 12 : 37 = 32.4%
Dozens, Columns
Simple Chances / Red / Black / Even / Odd / 1-18 / 19-36 1 : 1 18 : 37 = 48.65%
Simple Chances

* All numbers corresponding to a roulette wheel with 37 slots.


Determining the percentage probability of a bet type in roulette is easy:
Probability of 1 Number is: 1: 37 * 100 = 2.7%.
If 2 Numbers are played the winning probability is therefore 2 * 2.7 = 5.4 percent.

Important note on the payouts:
In addition to the payouts, you get back your stake itself.
An example of a Straight with a stake of 1:
payout amount = stake * 35 + stake = 1 * 35 + 1 = 36

American Roulette

The rules for american roulette differ from the european roulette rules mainly by the so-called "double zero", by the number arrangement on the wheel and by the routines for simple chances. From a probalistic point of view you should always prefer Europaen Roulette over American Roulette.

The payouts are the same in American Roulette as in European Roulette.

The numbers on the roulette wheel in American Roulette are arranged in a different order than in European Roulette.

Double Zero: There are two green numbers on the wheel in American roulette and therefore we have 38 different slots on the wheel. While in European Roulette (statistically spoken) every 37 rounds the Zero appears, in American roulette this happens every 19 spins.

Simple Chances: While in European Roulette at the arrival of Zero the Simple Chances only lose the half of the bet, in American Roulette they fully get lost.

american-roulette-wheel
* an American Roulette wheel

Zero

Zero is the number of bank, but you can bet on Zero as on any other straight number. In case of a straight bet Zero behaves like any other regular number on the table. All other bets - except the simple chances - lose if Zero appears. Zero is the only number on the roulette wheel, that is neither red nor black, instead it is green. Also Zero neither belongs to a column nor to dozen nor to one of the simple chances. All players who have betted on columns or dozens or simple chances will lose with the arrival of Zero. The stakes on simple chances will become halved or blocked for the next round (depending on the house rules). All stakes on dozens and columns are completely lost. In american roulette even the stakes on simple chances get lost entirely. Therefore we call Zero number of the bank. And that's fair enough.

Double Zero

Please refer to the chapter about American Roulette.

Straight bet / Plein / 1 number

The Straight bet is also known as Plein or Single number bet.

Generally, playing on Pleins promises the greatest winning odds. (This applies only if no tip is added to the tronc. Otherwise, the relationship will be deteriorated.) The relationship between bet stake (capital requirements) and potential profit opportunities on Straights is in comparison to all other roulette bets the best. Statistically, each number appears once every 37 throws. If one hit comes sooner, e.g. in round 20, the player can appreciate a nice profit. But it is also not uncommon that a certain number will not occur in 200 rounds or more and later occurs multiple times in short intervals. This is described as tendency of series formation.

The payouts for a Straight hit is:
stake * 35 + stake

With a stake of 1 piece:
1 * 35 + 1 = 36

Payout ratio Probability Bet example

Straight bet / Plein / 1 number

1 : 35 1 : 37 = 2.7 %
Straight bet

Split Bet / Cheval / 2 numbers

The Split bet is also known as Cheval.A Split bet is placed on the center line between two adjacent numbers. The probability to hit a Cheval is analogous to a bet on 2 straights. Generally, it makes no difference whether to place a bet of 1 piece on each of two straights or to place a bet of 2 pieces on one split. In both cases winning percentage and payouts are the same.

The payouts for hitting a Split bet is:
stake * 17 + stake

With a bet of 2 pieces so:
2 * 17 + 2 = 36

Payout ratio Probability Bet example

Split Bet / Cheval / 2 numbers

1 : 17 2 : 37 = 5.4%
Split Bet

Street Bet / Transversale Plein / 3 numbers

The Street bet bet is also known as Transversale Plein. A Stree bet is placed at the top or bottom of a row of 3 vertical adjacent numbers. An exception to this rule, are these two cases: 0,1,2 and 0,2,3. If the player hits a street, the bet stake is multiplied by factor 11 and paid out in addition to the original bet stake. It makes no difference whether to place a bet of 3 to a street or 1 piece on 3 straights. In both cases winning percentage and payouts are the same.

Street Bet is:
stake * 11 + stake

With a stake of 3 pieces:
3 * 11 + 3 = 36

Payout ratio Probability Bet example

Street Bet / Transversale Plein / 3 numbers

1 : 11 3 : 37 = 8.1% Street Bet

Square bet / Carre / Corner bet / 4 numbers

The Square bet bet is also known as Carre or Corner bet. It is a bet on 4 numbers, which are located in a square of 2 by 2. The bet will be placed on the center cross of the 4 numbers. If the player hits the square, the stake is multiplied with 8 and paid out along with the original bet stake.

It makes no difference whether to place a bet of 1 piece on each of 4 straights or to place a bet of 4 pieces on one Square. In both cases winning percentage and payout ratio are the same.

The payout for hitting a square /carre / corner is:
stake * 8 + stake

With a bet of 4 pieces:
4 * 8 + 4 = 36

Payout ratio Probability Bet example

Square bet /Carre / Corner Bet / 4 numbers

1 : 8 4 : 37 = 10.8 % Square bet

Double street bet / Transversale simple / Six line / 6 numbers

The Double street bet is also known as Transversale simple or Six line. It covers 6 numbers. the bet is placed at the lower or upper end of the table between two vertical rows of 3 numbers. If one of the six numbers hits, the player gets paid 5 times of his wager in addition to the original amount of his bet. It makes no difference whether to place a bet of 1 piece on each of 6 Straights or to place a bet of 6 pieces on a Double street. In both cases winning percentage and payouts are the same.

Transversale Simple / Six Line / Double Street is:
stake * 5 + stake

With a bet of 6 pieces:
6 * 5 + 6 = 36

Payout ratio Probability Bet example

Double Street / Transversale Simple / Six Line / 6 numbers

1 : 5 6 : 37 = 16.2% Double street bet

Dozens, Columns / 12 numbers

Betting on Dozens or Columns is a bet on 12 numbers. This bet is also known as 1:2 bet. In case of win, the player gets the original bet stake back and additionally twice the bet stake. The roulette desk has 3 Dozens.
1st dozen: numbers between 1-12
2nd dozen: numbers between 13-24
3rd dozen: numbers between 25-36.

Columns: 1st column: 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34
2dn column: 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35.
3rd column: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

It makes no difference whether to place a bet of 1 piece on each of 12 Straights or to place a bet of 12 pieces on a dozen or a column. In both cases winning percentage and payouts are the same.

The payouts for a hitting a dozen or column are:
stake * 2 + stake

With a stake of 12 pieces ie:
12 * 2 + 12 = 36

Payout ratio Probability Bet example

Dozens, Columns / 12 numbers

1 : 2 12 : 37 = 32.4% Dozens, Columns

Simple Chances / 18 numbers

Simple Chances are also known as 1:1 or 50:50 bets. We consider all bets on Red, Black, Even, Odd, or Manque (low numbers 1-18) and Passe (high numbers 19-36) as Simple Chances. In the event of winning the stake is multiplied by factor 1, and paid in addition to the original stake.
The simple chances are very popular in roulette.

An example with a bet stake of 18:
Payout = stake * 1 + stake = 18 * 1 + 18 = 36.

If the player bets on a Simple Chance and zero or double zero appears, the stake is halfed and returned to the player, or blocked for the next round. This may differ from casino to casino and is published in the house rules.

The Simple Chances are very popular for a number of different roulette strategies. For differences in Simple chances you may also read American roulette.

Croupier / dealer

The Croupier aka Dealer is a roulette employee who manages the following tasks:
* throwing the ball
* accepting the wagers
* pay out the winnings
* watching the players

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