Labouchere Roulette Betting System Strategy
Introduction
Labouchere Roulette Strategy The Labouchere is a slightly more complex system that may require some practice to get used to. It’s a system that you dictate the rules for before you start playing. You decide how much you will bet and you decide how long you will play for. See full list on rouletteonline.net.
The Labouchere (also known as the cancellation and split-Martingale) is a well-known betting system. It is generally played on even-money games. It entails writing a list of numbers and then crossing off two after a win and adding one after a loss. Like most betting systems, it usually results in a session win, but at the expense of huge losses when it doesn't.
The logic behind the Labouchere is that the player needs to only win 1/3 of the time (and not run out of money) for the system to work. Believers might say the Law of Large Numbers states that the more bets are made, the more the ratio of wins to bets will approach the expected ratio. While this is true, a bad string of losses can causes bets to increase quickly, sometimes exhausting the player's bankroll.
Rules
- The player will define his winning goal and bankroll.
- The player will divide his winning goal by 10.
- The player will write down the quotient from step 2 ten times, horizontally.
- The player will bet the sum of the left and right numbers in the list on an even money bet*.
- If the player wins the bet in step 4, then he will cross off the left and right numbers on the list.
- If the player loses the bet in step 4, then he will add a new element to the right end of the list consisting of the amount just lost.
- Go back to step 4, unless every element has been crossed off the list (success) or the player's bankroll is exhausted (failure)
*: Exceptions
- If there is only one element in the list, bet that.
- If the player's bankroll is greater than zero, but not enough to cover the the sum of left and right elements in the list, then bet the remaining bankroll. If this bet wins and the bet amount is less than the element on the right end of the list, then subtract the amount bet from the right element. If this bet wins and is greater than the element on the right end of the list, then cross off the element on the right side and deduct the amount bet less the right element from the left element.
Example
- In this example, the player's goal is to win $50 and his bankroll is $1,000. He starts by dividing $50 by 10 and writing the quotient ten times: 5-5-5-5-5-5-5-5-5-5.
- The player's first bet is $10 ($5 + $5), which he wins, and crosses off the right and left elements: 5-5-5-5-5-5-5-5.
- The player's second bet is $10 ($5 + $5), which he wins, and crosses off the right and left elements: 5-5-5-5-5-5.
- The player's third bet is $10 ($5 + $5), which he wins, and crosses off the right and left elements: 5-5-5-5.
- The player's fourth bet is $10 ($5 + $5), which he loses, and adds to the right end of the list, leaving: 5-5-5-5-10.
- The player's fifth bet is $15 ($5 + $10), which he loses, and adds to the right end of the list, leaving: 5-5-5-5-10-15.
- The player's sixth bet is $20 ($5 + $15), which he wins, and crosses off the right and left elements: 5-5-5-10.
- The player's seventh bet is $15 ($5 + $10), which he loses, and adds to the right end of the list, leaving: 5-5-5-10-15.
- The player's eight bet is $20 ($5 + $15), which he loses, and adds to the right end of the list, leaving: 5-5-5-10-15-20.
- The player's ninth bet is $25 ($5 + $20), which he loses, and adds to the right end of the list, leaving: 5-5-5-10-15-20-25.
- The player's tenth bet is $30 ($5 + $25), which he wins, and crosses off the right and left elements: 5-5-10-15-20.
- The player's 11th bet is $25 ($5 + $20), which he wins, and crosses off the right and left elements: 5-10-15.
- The player's 12th bet is $20 ($5 + $15), which he loses, and adds to the right end of the list, leaving: 5-10-15-20.
- The player's 13th bet is $25 ($5 + $20), which he loses, and adds to the right end of the list, leaving: 5-10-15-20-25.
- The player's 14th bet is $30 ($5 + $25), which he wins, crossing off the left and right elements, leaving: 10-15-20.
- The player's 15th bet is $30 ($10 + $20), which he wins, crossing off the left and right elements, leaving: 15.
- The player's 16th bet is $15 (the only element left), which he loses, adding to the right end of the list: 15-15.
- The player's 17th bet is $30 ($15+$15), which he loses, adding to the right end of the list: 15-15-30.
- The player's 18th bet is $45 ($15+$30), which he loses, adding to the right end of the list: 15-15-30-45.
- The player's 19th bet is $60 ($15+$45), which he loses, adding to the right end of the list: 15-15-30-45-60.
- The player's 20th bet is $75 ($15 + $60), which he wins, crossing off the left and right elements, leaving: 15-30-45.
- The player's 21st bet is $60 ($15 + $45), which he wins, crossing off the left and right elements, leaving: 30.
- The player's 22nd bet is $30 (the only element left), which he wins, declaring victory and walks out with $50 in winnings.
Simulation Results
To show what to expect from using the Labouchere, I wrote a simulation that followed the rules above, based on various bets and games. The simulation used a Mersenne Twister random number generator. For each simulation, the winning goal was ten units. I tested the simulation on the following bankrolls: 50, 100, 250, 500, 1000, and 2500 units.
The first simulation is based on betting the Player bet in baccarat. The simulation size is over 6 billion sessions. As a reminder, the theoretical house edge on the Player bet is 1.235%.
Baccarat Simulation — Player Bet
| Statistic | 50 Units | 100 Units | 250 Units | 500 Units | 1000 Units | 2500 Units |
|---|---|---|---|---|---|---|
| Probability winning goal reached | 81.47% | 89.52% | 95.34% | 97.53% | 98.70% | 99.45% |
| Average number of bets | 17.810 | 19.565 | 20.766 | 21.184 | 21.405 | 21.542 |
| Average units bet | 90.651 | 123.859 | 171.423 | 209.457 | 249.284 | 304.325 |
| Expected win per session | -1.119 | -1.528 | -2.113 | -2.588 | -3.084 | -3.765 |
| Ratio money lost to Money bet | 1.234% | 1.234% | 1.233% | 1.236% | 1.237% | 1.237% |
The next simulation is on the pass bet in craps. As a reminder, the house edge on the pass bet is 7/495 = 1.411%. The simulation size is 8.7 billion sessions.
Craps Simulation — Pass Bet
| Statistic | 50 Units | 100 Units | 250 Units | 500 Units | 1000 Units | 2500 Units |
|---|---|---|---|---|---|---|
| Probality winning goal reached | 81.40% | 89.47% | 95.31% | 97.51% | 98.69% | 99.45% |
| Average number bet | 17.821 | 19.583 | 20.791 | 21.213 | 21.435 | 21.573 |
| Average total bet | 82.123 | 112.285 | 155.551 | 190.203 | 226.522 | 276.844 |
| Expected win per session | -1.160 | -1.586 | -2.198 | -2.689 | -3.201 | -3.915 |
| Ratio money lost to Money bet | 1.413% | 1.413% | 1.413% | 1.414% | 1.413% | 1.414% |
The next simulation is based on the don't pass bet in craps. The simulation size was over 6 billion sessions. As a reminder, the house edge on the don't pass bet is 1.364%.
Craps Simulation — Don't Pass
| Statistic | 50 Units | 100 Units | 250 Units | 500 Units | 1000 Units | 2500 Units |
|---|---|---|---|---|---|---|
| Probality winning goal reached | 81.41% | 89.48% | 95.31% | 97.52% | 98.70% | 99.45% |
| Average number bet | 17.819 | 19.579 | 20.786 | 21.206 | 21.427 | 21.566 |
| Average total bet | 84.447 | 115.440 | 159.904 | 195.465 | 232.766 | 284.361 |
| Expected win per session | -1.152 | -1.571 | -2.182 | -2.666 | -3.171 | -3.863 |
| Ratio money lost to Money bet | 1.364% | 1.361% | 1.365% | 1.364% | 1.362% | 1.358% |
The next simulation is based on any even money bet in single-zero roulette. The simulation size was over 6.9 billion sessions. The theoretical house edge in single-zero roulette is 1/37 = 2.703%.
Roulette Simulation — Single Zero
| Statistic | 50 Units | 100 Units | 250 Units | 500 Units | 1000 Units | 2500 Units |
|---|---|---|---|---|---|---|
| Probality winning goal reached | 79.52% | 88.01% | 94.41% | 96.93% | 98.33% | 99.26% |
| Average number bet | 18.123 | 20.070 | 21.465 | 21.978 | 22.257 | 22.441 |
| Average total bet | 84.738 | 117.939 | 167.599 | 209.142 | 254.264 | 319.542 |
| Expected win per session | -2.291 | -3.188 | -4.527 | -5.652 | -6.877 | -8.648 |
| Ratio money lost to Money bet | 2.703% | 2.703% | 2.701% | 2.703% | 2.705% | 2.706% |
Labouchere Roulette Betting System Strategy Games
The next simulation is based on any even money bet in double-zero roulette. The simulation size was over 8 billion sessions.
Roulette Simulation — Double Zero
| Statistic | 50 Units | 100 Units | 250 Units | 500 Units | 1000 Units | 2500 Units |
|---|---|---|---|---|---|---|
| Probality winning goal reached | 75.45% | 84.71% | 92.23% | 95.44% | 97.34% | 98.71% |
| Average number bet | 18.697 | 21.046 | 22.881 | 23.615 | 24.046 | 24.351 |
| Average total bet | 89.839 | 129.507 | 193.860 | 252.141 | 320.010 | 426.256 |
| Expected win per session | -4.729 | -6.817 | -10.204 | -13.270 | -16.843 | -22.427 |
| Ratio money lost to Money bet | 5.263% | 5.264% | 5.264% | 5.263% | 5.263% | 5.261% |
Video
Please enjoy my video explaining the Labouchere and what you can expect if you play it.
Direct link: https://www.youtube.com/watch?v=5FdbVeNX59A
Written by: Michael Shackleford
The Labouchere System is a progressive betting system that can be used in a variety of casino games, but is used predominantly in the game of roulette. It is a progressive betting system, and is one of the more complex betting systems out there. You may see it called the Cancellation betting system, of the Split Martingale betting system. While systems like the Martingale betting system and the Anti-Martingale betting system only require you to know how much double your previous stake was, the Labouchere betting system requires a bit of planning, a bit of mathematical knowledge and, like all betting systems, a degree of willpower to ensure you do not deviate from this system.
The first thing a player using the Labouchere system has to do is establish a bankroll. Like every betting session, you should always have a maximum amount you are prepared to lose. This amount is your bankroll. You then use this to work out many much each unit of your bankroll is worth. To do this, you divide your bankroll by 100. So, for a bankroll of $1,000, each unit is worth $10. If your bankroll is $200, each unit is worth $2.
The second state of the Labouchere system is working out how much you want to win in one session. You might want to double your bankroll, so you would want to win 100 units. However, you might set your sights lower and want to win 10 units.
For the sake of this example, we will play with a bankroll of $1,000 and we’ll look to win 20 units.
Next up, you need to use a bit of mathematical skill. You write down a sequence of number that add up to the amount of units you would like to win in this session. So, if you are looking to win 10 units, you might have a sequence that looks like this: 1, 1, 1, 1, 1, 1, 1, 1, 1, 1. Of course, you could also have 2, 2, 2, 2, 2, or 1, 2, 3, 2, 1, 1. There are several variants for winning 10 units. So, for 100 units, you might have a sequence of 5, 5, 10, 12, 5, 13, 10, 10, 30, 10, or one of the many, many variations that there might be. This step does require a bit of forward planning, which is why you need to decide how much you would like to win in your session.
For this example, we’ll use the following sequence: 1, 2, 2, 5, 3, 3, 2, 1, 1.
So, now that we’ve got the planning out of the way, let’s look at how the system works.
The Labouchere betting system is designed to be used on 50/50 payouts, which is ideal in roulette, given that there are several options. You can bet on red/black, 1-18/19-36 or odd/even, as all of them have 1:1 payouts, even though their real odds are slightly worse – which is a fact worth bearing in mind.
Now, to decide how much you should wager on your first bet, you add the first and last numbers in your sequence. So, in our case, this means we have a bet of 2 units (1+1) in our first spin.
If your bet wins, you remove those two numbers from the list, and continue with your new first and last numbers. So, if it won, our next bet would be 3 units (2+1), because our sequence would now be 2, 2, 5, 3, 3, 2, 1.
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However, if your bet loses, you must add the amount lose to the end of your list. So, if our bet lost, the sequence would now be: 1, 2, 2, 5, 3, 3, 2, 1, 1, 2 (since we lost two units on our first spin). You would then continue, using the new last number along with the original first number. That means our next bet would be 3 units (1+2). If there is only one number left, you simply wager that number.
Labouchere Strategy
This continues until all the numbers have been crossed out, or your session is over due to your bankroll running out.
So, we’ll use our sequence of 1, 2, 2, 5, 3, 3, 2, 1, 1 and we’ll bet on black every time. Our first bet of 2 units wins, as it comes in black, and our sequence is now 2, 2, 5, 3, 3, 2, 1. We’ve removed those numbers, and we now bet 3 units. This bet wins again, and now our sequence is 2, 5, 3, 3, 2, and we already have a profit of 5 units (2 units from our first bet, 3 from our second). Our next bet is going to be 4 units. Unfortunately, this bet loses, and our sequence is now 2, 5, 3, 3, 2, 4. That means our fourth bet is going to be 6 units, and we have a profit of 1 unit (2+3-4).
Looking at the example, it’s easy to see how the Labouchere betting system can spiral out of control quickly. If the next bet loses, you add 6 to the end, and your next bet would be 8 units. And if you continue losing, your bet size continues to increase at a steady rate. The problem is that if you go on a losing streak, you run the risk of running out of bankroll, or being unable to make your next bet because the table limits prohibit you from doing so.
Labouchere Roulette Betting System Strategy For Beginners
It has to be said that the Labouchere is one of the more fun betting systems to use because it takes some thought, instead of just doubling your bet. It also gives you a set goal, so once you hit that, you stop and bank your winnings, which means your session should never be open-ended.
But, like all betting systems, you should never be under the illusion that the Labouchere system is a guaranteed way to success. It can help prolong a gaming session, and it can make it more entertaining, but the fact remains that if you do start losing, your bankroll will run down far quicker than if you were to use a system such as the Flat Betting system.
Labouchere Roulette Betting System Strategy Free
The Labouchere Betting System Summarized:,/h2>
This system has been around for years with rookie and veteran Roulette players using it due to the simplicity and overall fun.
The goal of the system is to win a predetermined amount of money. For The Labouchre System you’ll need a pen and paper and the ability to do basic math.
Start by determining what you would ultimately like to win. For this example let’s say that you want to win $20. Create a line of numbers that equal twenty for example: 2, 1, 1, 2, 5, 3, 5, 1.
It doesn’t matter which numbers you choose, the important part is that the numbers, when added together equal what you want to win, and that there are an even number of numbers in the line.
On the first spin of the wheel place you will add the first and last numbers from your line together so 2+1=3 and place a $3 bet on any even money bet.
If you win you cross off the numbers used and on the next spin you would continue down the line adding the first and last numbers together so now our line would look like this: 1, 1, 2, 5, 3, 5 so our next bet would be 1+5=6.
But if you were to lose the first spin you would add the amount you bet and lost to the end of the line so it would look like this: 1, 1, 2, 5, 3, 5, and 3 making your next bet 1+3=4.
To complete the Labouchre System you would have to cross off all numbers on your list, thus winning your predetermined amount. The idea behind this system is that on a winning bet you cross off two numbers from our line of numbers while a losing bet only adds one number to the line and the end total of your line when added together will always be you original winning goal amount minus previously won spins.
The theory of it is while taking 2 numbers away on a win and adding 1 number for a lose the player only has to win 33% of the time to cross off all numbers on the list, so by betting even money bets with a 47% success rate it’s a “guaranteed winning” system.
Of course, it’s not a guaranteed winning system by any means; but it is a fun system, and one that can really spice up the game of Roulette. A lot more fun than flat-betting, that’s for sure!
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