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D’Alembert

History of D’Alembert

D’Alembert’s strategy has been created by living in 18th century French mathematician and physicist  - Jean Le Rond D’Alembert. It is based on his theory “The Balancing Act”. It which assumes that when dealing with long series of certain event, we will face the balance between positive and negative outcomes of such event.

What is D’Alembert?

Is a mathematical theory which has been adapted as a roulette strategy. D’Alembert assumed that after every positive outcome, the chance of negative outcome in the next event increases and vice versa. This strategy can be used only for 50/50 outside bets i.e. betting on black or red numbers or even or odd numbers.

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How does D’Alembert system work?

The system is quite simple to use even for roulette newcomers. Its assumptions can be introduced in three simple points:

  1. We determine the outcome, on which we will bet during the whole session. It is very important not to change the outcome we bet on during the game.
  2. We determine the stake we will start with and the unit. Unit is the value that will lower or increase our stake.
  3. After every win we decrease the stake of previous wager and after every loss we increase it – always by the value of one unit.

How to use D’Alembert?

It will be the best to present the whole system in simple example. Let’s take a look.

EXAMPLE:

Basic assumptions:

  • We will bet on color – in this case it will be red.
  • Our initial bet will be $5.
  • Our unit will equal $1.


According to these assumptions, in case of winning we will decrease our previous bet by $1 and after every loss we will be increasing it by $1.

Here we will find the example of such game:

Bet number:Bet value ($):Outcome:Win/loss ($):Balance:
1 $5 win + $5 + $5
2 $4 win + $4 + $9
3 $3 loss - $3 + $6
4 $4 win + $4 + $10
5 $3 loss - $3 + $7
6 $4 loss - $4 + $4
7 $5 loss - $5 - $1
8 $6 loss - $6 - $7
9 $7 win + $7 $0
10 $6 loss - $6 - $6
11 $7 win + $7 + $1
12 $6 win + $6 + $7
13 $5 loss - $6 + $2

What is the profit?

In this example we notice that after series of 13 bets, we have got the profit of $2. What is interesting, we have a profit even though we had more losses than winnings (7 to 6).

What are advantages of D’Alembert?

+ minimizes casinos advantage (caused by unequal odds)
+ very easy (can be used by novice players)
+ no big bankroll swings

What are disadvantages of D’Alembert?

- long sessions needed to achieve significant income
- lower winning odds playing American roulette (because of double 0)

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