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  2. Martingale (betting system) - Wikipedia

    en.wikipedia.org/wiki/Martingale_(betting_system)

    A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses if it comes up tails.

  3. Martingale (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Martingale_(probability...

    A gambler's fortune (capital) is a martingale if all the betting games which the gambler plays are fair. The gambler is playing a game of coin flipping. Suppose X n is the gambler's fortune after n tosses of a fair coin, such that the gambler wins $1 if the coin toss outcome is heads and loses $1 if the coin toss outcome is tails. The gambler's ...

  4. Betting strategy - Wikipedia

    en.wikipedia.org/wiki/Betting_strategy

    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 ]

  5. Oscar's grind - Wikipedia

    en.wikipedia.org/wiki/Oscar's_grind

    Oscar's grind is the same as Martingale-based and Labouchère system in the sense that if there is an infinite amount to wager and time, every session will make a profit. [citation needed] Not meeting these conditions will result in an inevitable loss of the entire stake in the long run. Only 500 losses in a row can come from a 500 unit ...

  6. Labouchère system - Wikipedia

    en.wikipedia.org/wiki/Labouchère_system

    The Labouchère system can also be played as a positive progression betting system; this is known as playing the reverse Labouchère. In this version after a win, instead of deleting numbers from the line, the player adds the previous bet amount to the end of the line. You continue building up your Labouchère line until you hit the table maximum.

  7. Roulette - Wikipedia

    en.wikipedia.org/wiki/Roulette

    Betting systems in roulette can be divided in to two main categories: Negative progression system (e.g. Martingale) Negative progression systems involve increasing the size of one's bet when they lose. This is the most common type of betting system.

  8. Optional stopping theorem - Wikipedia

    en.wikipedia.org/wiki/Optional_stopping_theorem

    Let X τ denote the stopped process, it is also a martingale (or a submartingale or supermartingale, respectively). Under condition ( a ) or ( b ), the random variable X τ is well defined. Under condition ( c ) the stopped process X τ is bounded, hence by Doob's martingale convergence theorem it converges a.s. pointwise to a random variable ...

  9. Category:Betting systems - Wikipedia

    en.wikipedia.org/wiki/Category:Betting_systems

    Pages in category "Betting systems" ... Martingale (betting system) O. Oscar's grind This page was last edited on 2 July 2022, at 06:35 (UTC). ...