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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 number is high or low.
The wheel is divided into 18 pockets which are numbered from 1 to 9, each number occurring twice. The numbers 1, 3, 6 and 8 are black, while the numbers 2, 4, 7 and 9 are red, and 5 is yellow. Instead of the ivory ball used in roulette, a rubber ball is used in Boule.
The Labouchère system, also called the cancellation system or split martingale, is a gambling strategy used in roulette.The user of such a strategy decides before playing how much money they want to win, and writes down a list of positive numbers that sum to the predetermined amount.
Let q be the probability of losing (e.g. for American double-zero roulette, it is 20/38 for a bet on black or red). Let B be the amount of the initial bet. Let n be the finite number of bets the gambler can afford to lose. The probability that the gambler will lose all n bets is q n. When all bets lose, the total loss is
Russian roulette as depicted in the 1925 movie The Night Club. Russian roulette (Russian: Русская рулетка, romanized: Russkaya ruletka) is a potentially lethal game of chance in which a player places a single round in a revolver, spins the cylinder, places the muzzle against the head or body (of the opponent or themselves), and pulls the trigger.
The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.
Roulette is a game of pure chance; no strategy can give players advantages, the outcome is determined purely by which numbered pocket a ball randomly falls into. A game of chance is in contrast with a game of skill. It is a game whose outcome is strongly influenced by some randomizing device.
Random number games may be played at a table or through the purchase of paper tickets or cards, such as keno or bingo. Some casino games combine multiple of the above aspects; for example, roulette is a table game conducted by a dealer, that involves random numbers.