Montante Américaine

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Henry du Pré Labouchère
Jean Baptiste le Rond d'Alembert, portrait by Maurice Quentin de La Tour , 1753

The labouchère system , Cancellation Américaine or short Américaine is a popular form of Martingalespiels which by many players when setting the simple chances at Roulette is applied.

This typesetting technique is also known under the name Labouchère or Labby for short , probably after Henry du Pré Labouchère (1831–1912), an English journalist and politician. Sometimes this style of play is also referred to as the Annulation d'Alembert and ascribed to the French mathematician and philosopher Jean Baptiste le Rond d'Alembert , like the Progression d'Alembert .

Before starting his attack on the casino , the player writes the numbers

1 - 2 - 3 - 4

on a piece of paper. During the game he always bets the sum of the two outermost numbers in this sequence; d. H. In the first coup the player bets 1 + 4 = 5 units ( pieces ). If he wins this coup, he crosses out the two outermost numbers and his note shows

(1) - 2 - 3 - (4).

Now he bets 2 + 3 = 5 units. If the player loses a coup, he adds the number of units last placed to his records and receives the following picture

(1) - 2 - 3 - (4) - 5.

In the next coup, 2 + 5 = 7 units are to be bet; If this coup is won, the player then places 3 units; etc. (Note: If the list only contains a single number, the stake is precisely this number.)

If a player succeeds in crossing out all the numbers in his row, he has reached the goal and won a total of ten units and can now start a new attack.

The Américaine is like the Montante Hollandaise an example of a Abstreichprogression ( points redemption system , Cancellation ): By winning every previous losses are repaid and canceled on the list.

The popularity of the Américaine is based on the following characteristics:

  • The size of the stakes grows less rapidly with multiple losses in a row than with continued doubling (doubling), the classic martingale , so that the maximum (maximum stake) set by the casino is not reached anytime soon.
  • As long as the system can be played as intended, every winning coup compensates for two lost coups: When betting on simple chances such as Rouge or Noir, the player only needs to win slightly more than every third (!) Game on average , so this system does not on the - by most players already misunderstood - is dependent on the law of equalization (Equilibre) , z. B. the Montante Hollandaise or the Progression d'Alembert is based.

This has invalidated the main objections raised against many gaming systems, and indeed that system seems infallible . But this is a fallacy : the expected value for the loss is exactly the same as in all roulette systems ; the mathematical proof for the non-existence of safe winning strategies can be provided with the help of the martingale theory.

literature

  • Victor Bethell: Monte Carlo - Anecdotes and Systems of Play , London, 1910, p 91 ( Online )
  • Rudolf Heinrich [d. i. Rudolf Bretschneider]: Roulette, Trente-et-Quarante, Baccara Beads Series , Volume 645, Vienna, 1954, p 32
  • Alexander B. Szanto: Roulette, Trente-et-Quarante, Baccara, Black Jack . Perlen Reihe, Volume 645, Vienna, 1977 (revised edition of Heinrich's book), p 38
  • Pierre Basieux: The world as roulette. p. 60, Rowohlt, 1995, ISBN 3499197073