Positive Progression Betting System

Positive Progression Betting System Rating: 4,3/5 2212 reviews

A positive progression is one which calls for you to increase your bets when winning. For any type of betting system to work you must be able to capitalize on streaks. Streaks are when you win multiple hands of blackjack in a row. A positive progression is designed to help you make the most of these winning streaks.

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Betting systems break down into two main classes, including positive and negative progression strategies. A positive progression system sees you increase bets during a winning streak. Meanwhile, a negative progression system involves increasing wagers when you’re losing. In positive progression systems, players raise their bets when winning, or as some players call it, “betting the house money.” This system is based on taking advantaging of winning streaks. Here is the breakdown for some of the most popular variations for each system: Negative Progression Systems. Martingale: The most known Negative. 50% Betting System: Another positive progression system, that has recently become famous, is to increment your next bid by 50% if you have won the last. For example your first bet is $6 and you win, then add 50% i.e. $3 to it, so your next bet would become $9, then $13 and so on. Betting systems all follow the same basic principle; players change the size of their bet, based on whether they won or lost their last bet. When using a positive progressive betting system, players will increase their bet after they win and decrease after a loss.

What is a Betting System?

It is a so-called strategic plan prepared after a study of prior wins and losses, and is supposed to increase player’s chances of winning more bets in less time. let's start from the basics.

There are three different types of betting systems in practice:

  1. Positive Progression Betting: In this system gamblers increase their bet each time they win. This system is more popular than others, because it comparatively doesn’t require you to have a big amount to start the game.
  1. Negative Progression Betting: There are people who wish to bet even higher every time they lose. They do so with an expectation to recover previous losses in a single winning bet. It requires a larger bankroll and a strong heart to practice this system, hence is considered a than its counter parts.
  1. Insurance Betting System: Just contrary to above, in this betting system you decrease your bet every time you lose. This supports a safer gambling concept and is considered a god betting system.

Here we have more information on some other betting systems. But the universal fact is that none of these techniques is a guarantee of success. The only logic is that these systems are based on some equations designed out of winning history. But games are not based on any fixed equation; they rather work on a set proportion of odds and evens only.

Gambling Fallacy

Players do create some fallacies in their mind, which are entirely based on perceptions, or rumors only. If a number has not appeared up recently, a player would start concentrating on it as a possible hit in next few attempts, , in fact. The gambling odds does not work on such calculations.

Main Gambling Systems

Positive Progression Betting System Reviews

Martingale Betting System:

People often develop an intimacy with old things and start revering them as godly. Martingale system is also often considered a successful system because of its age. The system has considerably improved by the time, though. It works on the basic concept that exploits probabilities to recover from losses. The system suggests you to alter your bet if you win and double the amount if you lose.

Thus it is somewhat a negative progression type of system which makes it rather a risky technique that requires strong fund base. The technique relies on the concept that you will certainly win for once at least and then would recover all your previous losses and even more. But Casinos are still smarter. They set house limits proving this technique futile. A part this, the mathematical says that does not exist a limit on a positive, or a negative sequence (see roulette).

D’Alembert System:

This betting system works on same line as Martingale system, but with certain proved improvements. Hence, is much safer than the previous one. It suggests the players to raise their bet on every loss and decrease it when they win. The concept is to help you recover your losses by betting higher every time, and save your winnings by reducing the bets once you have won it.

Parlay Betting System:

This is more popular a system for horse racing than casino betting. This is a low-risk system for beginners. It suggests you to bet with winnings only. All you have to do is play small bets until you win then keep your winning and invest it on following bets.

Paroli Betting System:

Just contrary to Martingale system, Paroli system believes in increasing your bet if you win. This works well if you are on a winning roll.

1-3-2-6 Betting System:

This system is based on a thought that you would win at least 4 times in a row. It suggests you to divide your stake amount in units. And invest 1 unit on first bet, 3 on second, 3 on third and invest 6 units on fourth bet. This system has been meticulously designed to keep your winning and sustain losses. This is the best of the systems if you could really win 4 times but chances are equally odd, too.

50% Betting System:

Another positive progression system, that has recently become famous, is to increment your next bid by 50% if you have won the last. For example your first bet is $6 and you win, then add 50% i.e. $3 to it, so your next bet would become $9, then $13 and so on. Start from scratch when you lose means if you have last a bet than start back from initial amount i.e. $6, if you have to, of course.

A Quarter is a Fine Bet:

This system goes to suggest you to divide your entire gambling amount into 4 before each bet. Thus this allows you to increase your winning bets if you are on winning streaks, and limits your losses when you lose. What you can gain is double your money and what you can loose is what you have in hand.

Rely on Intuition:

While all other betting systems have their own odds and no one is guarantee of a winning, which system should you rely on? ‘Intuitions’ comes a sharp reply from some of the frequent gamblers who have tried this tool. This, too, has equal possibilities of winning and losing as any other system but it gives you a full joy of gaming excitement and may be that your sixth sense starts working in your favor and take you on a winning stream.

Accept the Truth:

The last but not least important fact of gambling, is that no system can work the way you want it to be, otherwise all these betting system suppliers would make you become Uncle Scrutch, and all the casinos would have gone bankrupt. They are meant to increase the odds in your favor, but stats says that casinos always win, guys! So it is a game of chances only, and can be rather a cheaper entertainment than watching a movie, with a very tempting possibility of earning a bang. The right advice is to play with a gaming spirit only, and do not make it an addiction. If you have won something out of it, the very first thing you should do, is to separate your principal amount from it. Then keep investing the earnings till you please or your pocket allows.

The Odds in Zero Sum Games

Gambling involves betting money on an event that has an uncertain outcome, such as a sports game, in order to profit by betting on the correct outcome. Frequently, gambling is also used in the world of finance, where – for example – the scarcity of a commodity can be bet on. Long term weather patterns may be studied, for example, to bet on whether a particular crop will have a good yield in a given season.

Therefore, investing in that particular crop or investing in other crops to the detriment of that crop may result in a profit. Scarcity of wheat may lead to a rise in its price. Similarly, the price of oil or natural gas may rise or fall due to the discovery or otherwise of oil fields over a given period. Whether you are talking about a football season or the seasons of the year, there is a kind of gambling for everyone.

Zero sum games – in this context – may result in the establishment of a pot of money. In this context, all of the monies put into the pot by individuals betting on a number of outcomes, will be split among the winners. A zero sum game at a very basic level could be described as a game where a winner “wins” at the expense of the loser “losing”. The winner or winners will take and split the pot, the losers lose what they bet and take home nothing.

Bets are sometimes spread by a gambler to cover as many likely outcomes as possible. A gambler may bet on a horse or a greyhound “to place” at the racetrack rather than to win. This means that should the horse or dog come first, second or third in a race, the gambler will profit. However, because the stakes are higher if the person gambles on a win alone, he or she will make more money.

The technique known as martingale is an example of covering bets in such a way as to gain profit. Martingale is a gambling technique that was originally developed in France more than two centuries ago. In essence, it began as a wager on the betting of which side a coin would land. If it came up heads, the gambler would win, and with tails, he would lose. The technique demanded that after each loss, the gambler doubled the bet so that when the coin did come up heads, he would get a small dividend after covering all of his losses as well.

The gamble would ultimately pay off when the coin finally did come up heads because probability was in the gambler’s favor. Many casinos are said to operate policies to stop practices that are similar to Martingale. However, the fact is that statistically, a martingale type of gambler has just the same odds as anyone else at the casino. What little profit he or she makes is offset by the chance that he or she will result in a disastrous loss by adopting this kind of strategy.

History of Gambling Systems

There have been various attempts through history to create gambling techniques aimed to beat or cheat the system in order to win. Technically, some of them require limitless resources – which nobody has. It is felt that none of these techniques are failsafe and none of them can definitively be considered profitable over a sustained period of time. People will however calculate a sizable bet and introduce the notion of loss over a sustained period of time. In this way, they can make a wager – taking into account a loss – and continue to do so until there is a payoff.

For example, a Londoner might wager that there will be a white Christmas this year. He can do this every year, adding the previous year’s losses to the wager, until he finally wins the bet and takes home his winnings – which take into account all of his previous losses – thus making a small profit.

In a fixed profits gambling system, the stakes are measured in terms that are based on the probabilities of loss and win. The aim is that the same profits will result from whatever bet or bets are made. Meanwhile, the fixed stakes system means that the same stakes are bet on each chosen horse in a race, for example, or whatever other variables are being bet on.

Card counting is one example of a gambling system. The ability to keep track of the number of high value cards remaining in a deck has an advantage when playing blackjack. The ratio of high cards to low can be calculated in many ways. Some people calculate how many cards with a value of ten remain in the deck during a game to give a little advantage to themselves.

Various other calculations can be made when it comes to gambling and attempting to beat the bookie. Optimal stakes are often placed in way to allow your bank balance to remain healthy (in theory). However, because many bets are based on chance, the odds for someone attempting to beat the system, are frequently no higher than anyone else playing the game or making their bets.

Speculative investments are sometimes considered gambling. Various kinds of stock market investment may be regarded as gambling systems. However, they are often wiser choices than other kinds of gambling, because an investor can take note of changes to a company in the news. If a company is doing well and making profits, it may be wise to invest in it.

If a company’s product is failing – for example, if a car manufacturer has been found to have a major fault in its cars and is recalling those cars for repair – the chances are high that its profits will dip. However, this might be the ideal time to buy shares in that car company, so when its profits rise again, the investor can sell on the shares.

If any kinds of gambling systems were completely foolproof or failsafe, everyone would do them. So far, no gambling system has achieved this level of success. If it had, booking shops and casinos would go bankrupt with far greater frequency than they do.


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The Labouchère system, also called the cancellation system or split martingale, is a gambling strategy used in roulette. The user of such a strategy decides before playing how much money they want to win, and writes down a list of positive numbers that sum to the predetermined amount. With each bet, the player stakes an amount equal to the sum of the first and last numbers on the list. If only one number remains, that number is the amount of the stake. If the bet is successful, the two amounts are removed from the list. If the bet is unsuccessful, the amount lost is appended to the end of the list. This process continues until either the list is completely crossed out, at which point the desired amount of money has been won, or until the player runs out of money to wager.[1]

Description of the gameplay[edit]

The theory behind this Labouchère system is that, because the player is crossing two numbers off of the list (win) for every number added (loss) the player can complete the list, (crossing out all numbers) thereby winning the desired amount even though the player does not need to win as much as expected for this to occur.

It should be mentioned that the Labouchère System is meant to be applied to even money Roulette propositions such as Even/Odd, Red/Black or 1–18/19–36. When any of these bets are made in the game of Roulette, a spin resulting in a '0' or '00' results in a loss, so even though the payout is even money, the odds are clearly not 50/50. The Labouchère System attempts to offset these odds.

If a player were to play any one of the above propositions, there are eighteen individual results which result in a win for that player and (for an American Roulette wheel) twenty individual results that result in a loss for that player. The player has an 18/38 chance of success betting any of the above propositions, which is around 47.37%.

Theoretically, because the player is cancelling out two numbers on the list for every win and adding only one number for every loss, the player needs to have his proposition come at least 33.34% to eventually complete the list. For example, if the list starts with seven numbers and the player wins five times and loses three (62.5% winning percentage) the list is completed and the player wins the desired amount, if the list starts with seven numbers and the player wins 43,600 times and loses 87,193 times (33.34% winning percentage) the list completes and the player wins.

A formula to understand this is as follows:

When

The result is the list being completed.

Assuming a player bets nothing but black (red/black proposition) and black can be expected to hit 47.37% of the time, but the system only requires that it hit 33.34% of the time, it can be said that black only need hit approximately 70.38% of the time (33.34/47.37) it can generally be expected to in order for the system to prevail.

An obvious downfall to the system is bankroll, because the more losses sustained by the player, the greater the amount being bet on each turn (as well as the greater the amount lost overall) is. Consider the following list:

10102020201010

If a player were to bet black and lose four times in a row, the amounts bet would be: $20, $30, $40, and $50. By taking these four consecutive losses, the player has already lost $140 and is betting $60 more on the next bet. Consecutive losses, or an inordinate number of losses to wins can also cause table limits to come into play.

Occasionally, a player following this system will come to a point where he can no longer make the next bet as demanded by the system due to table limits. One work-around for this problem is simply to move to a higher limit table, or a player can take the next number that should be bet, divide it by two and simply add it to the list twice. The problem with the latter option is that every time a player commits such a play, it will infinitesimally increase the percentage of spins a player must win to complete the system. The reason this is so is because the player is adding two numbers (which both will be crossed out in the event of wins) where only one loss was sustained.

To prove this, if a player were to play the Labouchère system the same way with the exception being that the player always added half of the wager lost to the bottom of the list twice for every wager lost where:

When:

The result is the list being completed.

Positive Progression Betting System

The player would actually have to win in excess of 50% of the time (the actual percentage of wins necessary, given x and y, being dependent on z) in order to complete the list, or more than the player could actually be expected to win.

Algorithm[edit]

Positive Progression Betting System

The algorithm for the Labouchère system can be considered a Las Vegas algorithm since the amount of money a player desires to win will always be a predetermined amount. However, there is no guarantee that the player will reach the desired goal before the bankroll is lost. This is referred to as risk of ruin. For instance, consider the recursive implementation of a round of Labouchère betting in Python.

The recursion of the algorithm terminates when the sequence is empty or when the player possesses insufficient funds to continue betting. When the function is called, the size of the bet made is equal to the sum of the first and last numbers of the sequence. If the length of the sequence is one, then the bet is equal to the sole member of the sequence. If the bet is won, then the first and last members are spliced from the sequence and the next round begins. However, if the bet results in a loss, then an integer equal the size of the lost bet is appended to the sequence and the next round begins. As determined by the parameters for termination of recursion, the only cases in which the algorithm will terminate are those in which the player has either won an amount equal to the summation of the original sequence or has lost all of their available capital. [2]

Reverse Labouchère[edit]

The Labouchère system can also be played as a positive progression betting system; this is known as playing the reverse Labouchère. In this version after a win, instead of deleting numbers from the line, the player adds the previous bet amount to the end of the line. You continue building up your Labouchère line until you hit the table maximum. After a loss, the player deletes the outside numbers and continues working on the shorter line. The player starts their line again if they run out of numbers to bet.

The Reverse Labouchère system is often used because where the Labouchère list represents how much the player wants to win, a reverse Labouchère line represents the most that the player will lose during the betting cycle. It is with this that a player with a bankroll of x can create their own line, or lines, representative of the maximum amount that they can sustain in losses.

Additionally, a player does not necessarily have to continue the system until the table limit is met or exceeded, but could instead pick a single bet that the player does not wish to exceed and make that bet their own personal limit.

Unlike the Labouchère system which (when adhered to strictly) requires a winning percentage of at least 33.34% to complete, the winning percentage needed to complete a Reverse Labouchère line is going to be dependent on both the table limit (or the maximum single bet a player is willing to make) as well as the numbers on the initial line in relation to the table limit.

For example, if a table had a limit of $500 and a player composed a Reverse Labouchère line as follows:

Positive Progression Betting System Calculator

50, 50, 50, 50, 50

Nine consecutive wins (100, 150, 200, 250, 300, 350, 400, 450, 500) would cause the next bet in the system to exceed the table limit, and thus the line would be completed with a player profit of $2,700.

In contrast, if a player composed a Reverse Labouchère line such as:

25, 25, 25, 25, 25

Nineteen consecutive wins (50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500) would cause the next bet in the system to exceed the table limit, thus the line would be completed with a player profit of $5,225.

The length of the line in the Reverse Labouchère system is also important as it relates to the percentage of wins necessary to complete the system. For example, if a line of:

50, 50, 50, 50, 50

suffers three consecutive losses as soon as the system begins, then the line is completed and a new line must be started, or the player may choose to quit.

In contrast, if a line of:

50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50

Positive Progression Betting System Analysis

suffers three consecutive losses, then there are still six numbers remaining on the list. In the line immediately above, it would take an opening streak of six consecutive losses for the line to be completed.

All other things remaining the same, the longer a player's line, the more the player is risking losing. However, the longer the player's line, the better winning percentage the casino need have in order to break the player's line.

Advocates of this system point out that when a player uses the Labouchère System, where a streak in the casino's favor, or many mini-streaks in the casino's favor, will cause the player to sustain a huge loss, a single streak, or a few streaks in the player's favor using the Reverse Labouchère system will cause the player to have a huge gain.

A formula that can be used to determine how this system could fail is as follows:

Where:

When:

The system has failed, and all numbers on the line are crossed completely out.

Given an infinite line, the Labouchère System when played by the player requires a winning percentage of at least 33.34% to complete. In contrast, for the Reverse Labouchère to fail requires only that the player lose 33.34% of the time.

Once again, the winning percentage necessary for the system completing to success depends upon a number of variables.

References[edit]

Positive Progression Betting System Free

  1. ^Burrell, Brian. Merriam-Webster's Guide to Everyday Math. Merriam-Webster.
  2. ^Billings, Jake; Del Barco, Sebastian (2017). 'An Investigation into Labouchère's Betting System to Improve Odds of Favorable Outcomes to Generate a Positive Externality Empirically'. arXiv:1707.00529 [q-fin.GN].

Positive Progression Betting Systems

  • Tijms, Henk (2004). 'Probabilities in everyday life'. Understanding probability: chance rules in everyday life. Cambridge University Press. pp. 91–93. ISBN0-521-54036-4.

Positive Progression Betting System Chart

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