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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 ...
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A betting strategy (also known as betting system) is a structured approach to gambling, in the attempt to produce a profit. To be successful, the system must change the house edge into a player advantage — which is impossible for pure games of probability with fixed odds, akin to a perpetual motion machine. [ 1 ]
The Labouchère System is meant to be applied to even money Roulette propositions such as Even/Odd, Red/Black or 1–18/19–36. When any of these bets are made in the game of Roulette, a spin resulting in a "0" or "00" results in a loss, so even though the payout is even money, the odds are clearly not 50/50.
In most casino games, the expected value of any individual bet is negative, so the sum of many negative numbers will also always be negative. The martingale strategy fails even with unbounded stopping time, as long as there is a limit on earnings or on the bets (which is also true in practice). [ 4 ]
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Some video poker games, such as full pay Deuces Wild, could be beaten if played with perfect strategy [3] devised by computer analysis of the game. However, as of 2023, full pay Deuces Wild video poker is no longer known to exist at any casino since Sam's Town Hotel and Casino near Las Vegas, Nevada became the last casino to remove the game. [ 4 ]