Labouchère system

The Montante Americaine, Americaine Annulation or short- Americaine is a popular form of Martingalespiels, which is used by many players when setting on the easy chances at roulette.

This compositional technique is also known by the name or abbreviated Labouchère Labby, probably after Henry du Pré Labouchere (1831-1912), an English journalist and politician. Sometimes this game is also referred to as annulation d' Alembert and attributed to the French mathematician and philosopher Jean Baptiste le Rond d' Alembert, as the progression of d' Alembert.

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

1 - 2 - 3 - 4

On a piece of paper. During the game, he is always the sum of the two extreme numbers of this sequence; that is, in the first coup puts the player 1 4 = 5 units (units). If he wins this coup, he sweeps through the two outermost numbers, and his note shows

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

Now he is 2 3 = 5 units. If the player loses a coup, he adds the number of units last set his records are added and replaced by the following picture

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

In the next coup are therefore = to put 2 5 7 units; this coup is won, the player is then 3 units; etc.

If a player manages cross out all the numbers of his series, he has achieved the goal and won a total of ten units and can now start a new attack.

The Americaine is like the Montante Hollandaise an example of a Abstreichprogression ( points redemption system Annulation ): Through every win previous losses are repaid and canceled on the list.

The popularity of the Americaine based on the following properties:

• The size of the stakes grow at more losses in a row less rapidly than in the continued doubling ( doubling ) of the classical martingale, so that fixed by the casino maximum ( Max Bet ) is not reached soon.
• As long as the system can be played as intended, is like any coup recovered two lost coups from: The player needs so when setting up simple opportunities like Rouge or Noir on average only slightly more than one out of three to win the game, so this system is not (!) on the - by most players anyway misunderstood - law of compensation ( Equilibre ) relies, for example, the the Montante hollandaise or progression d' Alembert is based.

Thus, the main objections which are brought against many game systems, exhausted, and so this system does indeed infallible. But this is a fallacy: the expected value of the loss is exactly the same as with any roulette systems; the mathematical proof of the nonexistence sure win strategies can be performed using the martingale theory.