Roulette systems

At first glance Labouchere strategy may seem a bit complicated, but after better understanding, it becomes really simple. This system however requires a lot of concentration or… just a piece of paper.

How to bet

Player bets all the time one of the following bets (for e.g. red color)

In Labouchere system the player calculates by him self how much he would like to win and how he will be betting. Lets say the player wants to win $14, but he would like to bet small stakes.
Using Labouchere strategy player needs to split $14 into any sequence of numbers that sum to the predetermined amount ($14). For e.g. 1 2 3 3 5. Next the player stakes the amount equal to the sum of the first and last number of the sequence (1 + 5 = $6). In case of win the player removes the first and the last number from the sequence (1 2 3 3 5), and bets again sum of remaining first and the last number of the sequence (2 + 3 = $5). In case of loss, the player needs to add lost stake amount to the end of the sequence (2 3 3 6) and again bets sum of the first and last number from the sequence – in this case 2 + 6 = $8. Win of the predetermined amount will occur when player removes (bets) all numbers from the sequence.

Example

Player:

1. creates sequence of numbers (1 2 3 3 5) and bets $6 Sum of the first and last number of the sequence ($1 + $5) on red
2. wins $12, removes first and last number of the sequence (1 2 3 3 5) and bets $5 Sum of the first and last number of the sequence ($2 + $3) on red
3. loses, add lost stake amount to the end of the sequence (2 3 3 5) and bets $7 Sum of the first and last number of the sequence ($2 + $5) on red
4. wins $14, removes first and last number of the sequence (2 3 3 5) and bets $6 Sum of the first and last number of the sequence ($3 + $3) on red
5. wins $12, removes first and last number of the sequence (3 3) – player has removed all numbers from the sequence, so the predetermined target has been achieved and next sequence of numbers can be created.

In this case player has invested 6 + 5 + 7 + 6 = $24, and won 12 + 14 + 12 = $38 – profit of $14 has beed achieved.

Labouchere Strategy requires from the player a lot of consequence. In the following scenarios it can be noticed that increase of invested amount is not big, but even small series of lost bets can make the sequence quite long, which might be hard to complete it.

Example scenarios

Scenario 1

Optimistic variant – sequence 1 2 3 1 5 (target: $12)

Scenario 2

Pesymistic variant – sequence 1 2 3 1 5 (target: $12)

Labouchere system in practice