Die Berechnung der Gewinnwahrscheinlichkeiten und Gewinnerwartung verschiedener Roulette Spiele sowie der verschiedenen La Partage Varianten. In diesem Beitrag wollen wir uns mit den mathematischen Wahrscheinlichkeiten und Statistiken von Roulette befassen. Wichtig zu wissen ist erstmal folgender. Dazu dann es kommt Statistik Roulette der in Lediglich zugrunde Zahlen großen der Gesetz dem liegt Fakt Dieser spielen, zu Permanenzen.
Roulette Wahrscheinlichkeiten und MathematikRoulett Permanenzen zu spielen, bringt daher nichts. Lediglich in der Roulette Statistik kommt es dann dazu, dass laut den Roulette Statistiken beide Zahlen. Dazu dann es kommt Statistik Roulette der in Lediglich zugrunde Zahlen großen der Gesetz dem liegt Fakt Dieser spielen, zu Permanenzen. 12/37 = 32,43 %.
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These wagers contain 12 numbers , , or a wager on the first, second, or third line. If you're looking for bigger payouts but more risk, then Inside bets are your go-to option in roulette.
Here's a quick-fire guide to the stats and payouts for the daring player:. Roulette is theoretically a game of luck and chance, but it's also a game that mathematicians love to pick apart.
If the fictional ace student in Good Will Hunting had played roulette, he'd have a field day trying to create the winning formula.
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Depending on the bet you can win or lose a decent amount of money. This application simulates this game using european roulette rules including "La Partage" and "En Prison" , though with placing bets on colors only.
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Windows Windows. Most Popular. New Releases. Desktop Enhancements. Networking Software. Nine chips or multiples thereof are bet.
Two chips are placed on the trio; one on the split; one on ; one on ; one on ; two on the corner; and one on 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 The bet consists of four chips or multiples thereof.
Three chips are bet on splits and one chip straight-up: one chip on split, one on split, one on split and one straight-up on number 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 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 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: , , , , , and The tiers bet is also called the "small series" and in some casinos most notably in South Africa "series ".
A variant known as "tiers " has an additional chip placed straight up on 5, 8, 10, and 11m and so is a 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.
These numbers make up the two slices of the wheel outside the tiers and voisins. They contain a total of 8 numbers, comprising and 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: , , , and 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 Neighbors bets are often put on in combinations, for example "1, 9, 14, and the neighbors" is a 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. The " 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 Final 7 is a 3-chip bet, one chip each on 7, 17, and 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 would be a 4-chip bet, one chip each on the splits , , , and one on 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.
For instance, if a patron wished to place a full complete bet on 17, the player would call "17 to the maximum".
To manually place the same wager, the player would need to bet:. The player calls his 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 player's wagered 40 chips, as with all winning bets in roulette, are still his 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.
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.
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.
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. If calculated as stations, they would just multiply 4 by 36, making with the players bet down.
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.
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 he runs out of money.
The American mathematician Patrick Billingsley said  that no betting system can convert a subfair game into a profitable enterprise.
At least in the s, 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.
Whereas betting systems are essentially an attempt to beat the fact that a geometric series with initial value of 0.