The odds and payouts are slightly different for each wheel type, and are listed below. If you are looking for professional roulette systems that work, visit the www.roulettephysics.com home page.

1. Roulette Free Play Single Zero
2. Single Zero Roulette Rules
3. Single Zero Roulette Games
4. Roulette House Edge
5. Single Zero Roulette Wheel Picture
6. Single Zero Roulette Wheel
7. Single Zero Roulette

Roulette Odds and Payouts

Types Of Roulette Bets:

The two main types of bets are “inside” and “outside”. There are different betting limits for each type of bet. Usually you can bet much higher on outside bets. This is for a few reasons, but mainly because the payouts are much higher on inside bets.

St anton am arlberg casino. The Types of Roulette Bets, Roulette Odds and Chip Placement

(1) Straight (1 number): 35-1 payout (pays your original bet PLUS 35 units). The example covers number 2.

Feb 14, 2017  All even money bets have a 1.3% house edge, all others have a 2.7% house edge. Sands: This is the same as double-zero roulette, except a 39th slot is added labeled with a green S, which stands for Sands. Mathematically, it is like a triple-zero roulette game, where the house edge on every bet is. The odds in roulette are easy to calculate. The wheel is divided into either 37 or 38 slots, depending on whether you are playing the European version (single zero), or the American version which has an extra space in the double zero. The zero space(s) represent the house edge.

(2) Split (2 numbers): 17-1 payout (pays your original bet PLUS 17 units). The example covers numbers 2 & 6.

(3) Street (3 numbers): 11-1 payout (pays your original bet PLUS 11 units). The example covers 7, 8 & 9.

(4) Square (4 numbers): 8-1 payout (pays your original bet PLUS 8 units). The example covers 8, 9, 11 & 12.

(5) Six Line (6 numbers): 5-1 payout (pays your original bet PLUS 5 units). The example covers numbers 13, 14, 15, 16, 17 & 18.

(6) Colours (18 numbers): 1:1 payout (pays your original bet PLUS 1 unit). The example covers all black numbers.

(7) Dozens (12 Numbers): 2-1 payout (pays your original bet PLUS 2 units). The example covers numbers 13 to 24 (the second dozen). Netbet casino no deposit bonus codes.

(8) Highs / Lows (1-18 or 19-36): 1-1 payout (pays your original bet PLUS 1 unit). The example covers numbers 19 to 36.

(9) Odds/Evens (18 numbers): 1-1 payout (pays your original bet PLUS 1 unit). The example covers all odd numbers.

(10) Columns (12 numbers): 2-1 payout (pays your original bet PLUS 2 units). The example covers numbers 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35.

Avoiding Common Misconceptions

One of the most common mistakes a roulette player will make is to increase bets after losses, without any consideration to predicting the winning number. It should be obvious that roulette is all about the winning number. And the idea is to bet on the winning number. But almost every roulette system does not even consider why the ball lands where it does. It sounds ridiculous but it’s true. The average roulette bet made by players don’t even consider variables that determine where the ball will land.

For example, a simple system may be to bet on red but increase your bet size after a loss. The theory is that increasing the bet size will allow you to win back any losses. But the reality is you are simply increasing the amount you wager on the next spin. Each spin has no correlation to the following spin, at least not in the way that such a betting system assumes.

Another example is consider 10 reds spinning in a row. One roulette player says “red is on a streak, I must bet red”. Another player says “black is due to spin next, so I’ll bet black”. So who is right? Neither of them. This is because the odds of red or black spinning are still 50/50 (neglecting the existence of zero for now). It’s amazing how every player at the table things either one way or the other when there is a long streak of a particular colour. Meanwhile the casino owner is sitting back rubbing their hands, grateful that the players have no idea that the illusion of streaks or due events is all in the player’s head.

Race Track Bets

Not all roulette tables offer race track bets. The race track enables players to make bets based on specific segments of the roulette wheel. The rules for use of the race track vary between casinos. Also the wording sometimes varies between race tracks, although usually the same areas for bets are available.

Series 5/8: A bet on the orange “Series 5/8” area is the following:

Splits (2 numbers): 5 & 8, 10 & 11, 13 & 16, 23 & 24, 27 & 30, 33 & 36

Orphelins: A bet on the green “Orphelins” area is:

Straight (1 number): 1

Splits (2 numbers): 6 & 9, 14 & 17, 17 & 20, 31 & 34

Series 0/2/3: A bet on the orange “Series 0/2/3” area is:

Streets (3 numbers): 0, 2, 3

Splits (2 numbers): 4 & 7, 12 & 15, 18 & 21, 19 & 22, 25 & 28, 26 & 29, 32 & 35.

0-Game: A bet on “0-Game” is:

Straight (1 number): 26

Splits (2 numbers): 0 & 3, 12 & 15, 32 & 35

Neighbor bets: This is a bet on a single number on the race track. If you bet in a real casino, one bet on an number splits the bet amount between 5 numbers. This includes the number you’ve bet, plus the 2 numbers each side of it. If you bet in an online casino, a click on an individual number automatically places one chip on the number, plus one chip on each of the 2 numbers on each side (total 5 numbers and 5 chips).

In some casinos, neighbor bets must be passed to the dealer, who may then inform the pitt boss of your bet. The reasons behind this are varied. Firstly, it helps detect professional players who bet on sectors. And secondly, it makes your bet clear to everyone so there are no misunderstandings. Any misunderstandings about where players wanted to bet would otherwise cause arguments.

What’s The Best Roulette Bet?

The best bet is wherever the ball lands. Duh, right? But let me explain more . . . Firstly, realistically you can’t know exactly what number will win on every spin. But on most wheels, it is at least possible to predict which area the ball will bounce to, and you can have at least better than random accuracy. You need to understand the house edge with roulette is only small, and you only need to have slight accuracy of predictions to put the edge in your favor. You’d think it would be impossible to predict where the ball bounces, and you’d think the dealer’s spin speeds would control it all. But take your time to read this website and understand the principles that make roulette a much more predictable game than you may think.

How Important are Roulette Odds?

The roulette odds simply tell you how often you can expect to win if the accuracy of your bet selection is no better than random. If you apply advantage play methods that use physics to predict the winning number, then the odds change, although generally the player edge becomes the focus.

For example, the odds of winning on a European roulette wheel are 1 in 37 if you bet on a single number. But with a roulette computer device, you could win as often as 1 in 10 spins. So you will have more than tripled your odds of winning, making the typical roulette odds somewhat irrelevant.

Which Bets Have the Best Odds?

The “best odds” of winning is different to the payout and edge. You could bet on every number, and you’d win every time, so your odds of selecting the winning number would be highest. But you’d still actually lose money because you’d be paid an unfair amount. This unfair amount is the “house edge”. So instead of considering the “best odds in roulette”, consider the “house edge”. But as per the above chart, the edge is the same on all bets.

European and American Double 0 Wheel Layouts

The American wheel has both single and double 0 pockets, whereas the European wheel only has a single green 0. The layout of each wheel type is below:

Single-zero (European) 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 (American) 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

The House Edge

The house edge is the normal edge the casino has over players. On the European wheel, it is -2.7% and on the American wheel, it is -5.26%. So the advantage the casino has over players is much greater with the American wheel. However, in either case it’s still only a minor advantage the casino has. But unless the accuracy of the player’s predictions is better than random, this small edge is enough for the casino to reliably profit over the long term. It is inevitable that some players will win in the short-term, but the casino thinks in terms of tens of thousands of spins and thousands of players, not individual players. The only time casinos consider individual players is if they appear to be using a professional roulette system.

Call Bets

Roulette Free Play Single Zero

Called or announced bets are bets that are made by speaking them, without actually placing the bets. These type of bets are not permitted in all jurisdictions, mostly because it creates opportunities for cheating players to place bets without having any money.

Neighbor Bets

These are typically used by professional players to bet on particular physical sectors of the roulette wheel. Sector bets are the only types of bets that increase the roulette odds for you. For example, a neighbor bet on zero for the European roulette wheel will typically cover numbers 3,26,0,32,15. This is because sector based bets are used in advantage play methods. In particularly the European casinos, a neighbor bet must be given to the dealer, who then announces the bet to the pit boss. From a professional player’s perspective, it is not wise to do this too often as it attracts attention. Neighbor bets are placed on a circular representation of the wheel situated on the betting table, called the race track.

Games available in most casinos are commonly called casino games. In a casino game, the players gamblecasino chips on various possible random outcomes or combinations of outcomes. Casino games are also available in online casinos, where permitted by law. Casino games can also be played outside casinos for entertainment purposes like in parties or in school competitions, some on machines that simulate gambling.

• 3Common non-table games
• 4House advantage

Categories[edit]

Single Zero Roulette Rules

There are three general categories of casino games: table games, electronic gaming machines, and random number ticket games such as keno. Gaming machines, such as slot machines and pachinko, are usually played by one player at a time and do not require the involvement of casino employees to play. Random number games are based upon the selection of random numbers, either from a computerized random number generator or from other gaming equipment. Random number games may be played at a table, such as roulette, or through the purchase of paper tickets or cards, such as keno or bingo.

Table games[edit]

Common non-table games[edit]

Gaming machines[edit]

Random numbers[edit]

House advantage[edit]

Casino games typically provide a predictable long-term advantage to the casino, or 'house', while offering the players the possibility of a short-term gain that in some cases can be large. Some casino games have a skill element, where the players' decisions have an impact on the results. Players possessing sufficient skills to eliminate the inherent long-term disadvantage (the house edge or vigorish) in a casino game are referred to as advantage players.

The players' disadvantage is a result of the casino not paying winning wagers according to the game's 'true odds', which are the payouts that would be expected considering the odds of a wager either winning or losing. For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that the player gets the original amount wagered back. However, the casino may only pay 4 times the amount wagered for a winning wager.

The house edge or vigorish is defined as the casino profit expressed as the percentage of the player's original bet. (In games such as blackjack or Spanish 21, the final bet may be several times the original bet, if the player double and splits.)

In American Roulette, there are two 'zeroes' (0, 00) and 36 non-zero numbers (18 red and 18 black). This leads to a higher house edge compared to European Roulette. The chances of a player, who bets 1 unit on red, winning is 18/38 and his chances of losing 1 unit is 20/38. The player's expected value is EV = (18/38 x 1) + (20/38 x -1) = 18/38 - 20/38 = -2/38 = -5.26%. Therefore, the house edge is 5.26%. After 10 spins, betting 1 unit per spin, the average house profit will be 10 x 1 x 5.26% = 0.53 units. European roulette wheels have only one 'zero' and therefore the house advantage (ignoring the en prison rule) is equal to 1/37 = 2.7%.

The house edge of casino games varies greatly with the game, with some games having an edge as low as 0.3%. Keno can have house edges up to 25%, slot machines having up to 15%.

The calculation of the roulette house edge was a trivial exercise; for other games, this is not usually the case. Combinatorial analysis and/or computer simulation is necessary to complete the task.

In games which have a skill element, such as Blackjack or Spanish 21, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as card counting), on the first hand of the shoe (the container that holds the cards). The set of the optimal plays for all possible hands is known as 'basic strategy' and is highly dependent on the specific rules and even the number of decks used. Good blackjack and Spanish 21 games have house edges below 0.5%.

Traditionally, the majority of casinos have refused to reveal the house edge information for their slots games and due to the unknown number of symbols and weightings of the reels, in most cases it is much more difficult to calculate the house edge than that in other casino games. However, due to some online properties revealing this information and some independent research conducted by Michael Shackleford in the offline sector, this pattern is slowly changing.^[1]

Standard deviation[edit]

The luck factor in a casino game is quantified using standard deviations (SD).^[2] The standard deviation of a simple game like Roulette can be calculated using the binomial distribution. In the binomial distribution, SD = sqrt (npq ), where n = number of rounds played, p = probability of winning, and q = probability of losing. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than -1 units for a loss, which doubles the range of possible outcomes. Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold.^[3]

SD (Roulette, even-money bet) = 2b sqrt(npq ), where b = flat bet per round, n = number of rounds, p = 18/38, and q = 20/38.

For example, after 10 rounds at 1 unit per round, the standard deviation will be 2 x 1 x sqrt(10 x 18/38 x 20/38) = 3.16 units. After 10 rounds, the expected loss will be 10 x 1 x 5.26% = 0.53. As you can see, standard deviation is many times the magnitude of the expected loss.^[4]

Single Zero Roulette Games

The standard deviation for pai gow poker is the lowest out of all common casinos. Many casino games, particularly slots, have extremely high standard deviations. The bigger size of the potential payouts, the more the standard deviation may increase.

As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over. From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played. As the number of rounds increases, the expected loss increases at a much faster rate. This is why it is impossible for a gambler to win in the long term. It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win.

Roulette House Edge

It is important for a casino to know both the house edge and variance for all of their games. The house edge tells them what kind of profit they will make as percentage of turnover, and the variance tells them how much they need in the way of cash reserves. The mathematicians and computer programmers that do this kind of work are called gaming mathematicians and gaming analysts. Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

See also[edit]

Single Zero Roulette Wheel Picture

References[edit]

Single Zero Roulette Wheel

1. ^'Michael Shackleford is the wizard of odds'. Observer. Retrieved 13 October 2015.
2. ^Hagan, general editor, Julian Harris, Harris (2012). Gaming law : jurisdictional comparisons (1st ed.). London: European Lawyer Reference Series/Thomson Reuters. ISBN0414024869.
3. ^Gao, J.Z.; Fong, D.; Liu, X. (April 2011). 'Mathematical analyses of casino rebate systems for VIP gambling'. International Gambling Studies. 11 (1): 93–106. doi:10.1080/14459795.2011.552575.
4. ^Andrew, Siegel (2011). Practical Business Statistics. Academic Press. ISBN0123877172. Retrieved 13 October 2015.

Single Zero Roulette