The D’Alembert Betting System

Written by: Alex Windsor
Fact checked by Brian Webb  
Updated: November 26, 2024

Named after the French mathematician and physicist Jean le Rond D’Alembert, the D’Alembert is the second most popular betting system after the Martingale. Many UK players who prefer a low-betting strategy use it in online casinos and sports betting sites since it’s easy to understand and relatively conservative compared to other progressive betting systems.

This guide will break down the D’Alembert system to help you determine if it’s worth using as your next betting strategy.

The D’Alembert System Explained

Ideal for beginners and low-risk takers with a modest bankroll, the D’Alembert is a betting system that shares some characteristics with the popular Martingale since they are both negative progression systems; that means the D’Alembert system involves increasing your unit bet whenever you lose and adding it when you win. But unlike the Martingale, the D’Alembert is characterised by a much flatter structure that reduces the variance. Since stakes are increased or reduced more slowly, the D’Alembert betting strategy is considered to have the lowest variance than any other negative progression system.

This unit-based system is predicated on a theory that suggests that wins and losses always balance out over time, leading to a profit. The first principle of this system is that players should only apply it to even-money bets. As such, it’s used in online casino games with bets that offer even money odds, such as roulette, baccarat, blackjack and craps. You can also apply the D’Alembert system to sports bets like over/under, spread bets, or similar.

How the D’Alembert System Works

The simplicity of the D’Alembert system means it is easy for punters to learn and incorporate it into their online gambling journey. The steps below explain how this betting system works in action:

Establish Your base Unit

To apply the D’Alembert System, the first thing you have to do is to set a base betting unit. Your starting bet unit will depend on the size of your bankroll. But most bettors often take between 1 and 5% of their total bankroll for the session depending on their risk tolerance. The percentage you choose is referred to as 1 unit. Low-risk takers who don’t have that bountiful bankroll should consider a betting unit of 2%.

Start with One Unit

The D’Alembert system dictates punters to wager 1 unit to start your betting sequence. This will be your first bet, and you have to maintain it until you experience a loss since you cannot bet below the determined betting unit.

Increase Your Bet After a Loss

This approach requires you to increase your bet by a single unit following a loss. For instance, if your baseline bet is £5 and you lose, you will increase your next bet to £10. If you lose again, then you will add 1 unit, meaning your bet will now be £15.

Reduce Your Stake on Each Win

Decrease your bet by 1 unit if you achieve a win. That means you will go back down to £10 since your bet was £15. Reset your bet to the minimum after a win since this marks the end of the betting cycle.

Rather than capitalising on winning streaks, the D’Alembert focuses on recouping funds from the rounds you have lost. When you increase the stake by 1 unit each time, this means that any winning round that follows will have an increased return. The idea behind betting less after every win is that it allows punters to play it safe in those moments.

Reverse D’Alembert

You might want to try the Reverse D’Alembert if you prefer a strategy that doesn’t focus on chasing losses. Also known as the Contra D’Alembert betting system, the Reverse D’Alembert is the opposite of the regular version. That means it is a positive progression betting system that requires you to increase your bets if you win and reduce them after each loss.

Applying the D’Alembert System to Sports Betting

D'alambert Betting System

You can use the D’Alembert system sports betting provided you target bets with 11/10 odds since you need to factor in the bookmaker’s cut (VIG), which is usually 4.77%. This means the likelihood of an outcome occurring is 47.6% (Implied Probability). To put this into perspective, if you bet £110 on a spread and win, you will receive £100 in winnings. If there were no juice or vig, the odds would be 1/1 (even), meaning you bet £1 to win £1.

If you develop the D’Alembert system for sports betting, you should also consider other variables that may influence the outcome of sports you want to bet on. These include team and players past performance, injuries, suspensions and historical data and head-to-head matchups between players or teams. Doing this will allow you to identify value in published odds and make a more informed, data-driven decision.

Using the D’Alembert System with Online Casino Games

You can implement this betting strategy on any online and live casino game that offers a close to a 50 per cent probability of winning and pays even money (1:1). These include:

  • Roulette: (19-36) High numbers /Low Numbers (1-18), Red/Black and Odd/Even all offer even-money payouts (1:1).
  • Baccarat: The player and banker bets pay out 1:1.
  • Craps: Come, don’t come, pass line and don’t pass line pay even money.

Similar Betting Systems

If you like how the D’Alembert works and would like to try out an alternative approach, here are the most commonly-used negative progression betting systems:

The Martingale System

Devised over three centuries ago, the Martingale is the go-to choice for many newbs who have just dipped their toes in the betting world because it’s quite easy to learn. Since this system dictates that you double your stake when you lose, it’s effective in the short-term. However, it’s suitable for punters with nerves of steel and a large bankroll since longer streaks can wipe out all your profits.

Labouchere System

Also known as the split-Martingale and the cancellation system, the Labouchere betting system is a complex negative progression betting system that requires more time to master. To use this system, you will have to start by writing down a sequence of numbers. You’ll then add the first and last numbers in your sequence to form your base unit. If you lose, you’ll have to add your bet amount to the end of the sequence. You’ll need to cross off the first and last numbers from the sequence if you win. This rule doesn’t apply if you are left with one number in the sequence. In this case, you’ll have to wager that amount. The betting cycle is completed if you win this wager, and you must start from scratch with your original sequence.

The Fibonacci System

This system utilises the Fibonacci sequence, but it disregards the zero at the start of this sequence. Although this system is more complex, you can make things easier by memorising the first 15 numbers in the Fibonacci sequence. This approach requires punters to summate the two previous stakes to determine the level of their next bet whenever they lose. While the Fibonacci System can help you recoup losses swiftly and increase your probability of turning a profit over time, it’s not ideal for punters with a small bankroll since bets can grow at an alarmingly fast rate if you experience a lengthier losing streak.

The D’Alembert Betting System Pros and Cons

The D’Alembert has its advantages and disadvantages just like all betting systems. Below, I have provided the benefits and drawbacks of using this unit-based system.

Positive Points

The biggest advantage that this system offers is its inherent simplicity. The D’Alembert system is easy to learn, master and use, making it suitable for new and experienced bettors.

This negative progression system can also help you manage your bankroll since your stakes won’t escalate at a fast pace. Because you’ll be raising your stake by 1 unit whenever you lose, the probability of a long losing streak draining your bankroll completely is slim. What’s more  When you implement this betting strategy, you can stay in action longer and even see good short-term returns.

Since this system requires you to slowly increase the size of your stake after each loss, it’s an excellent choice for punters on a tight budget. If you employ the D’Alembert betting system, the risk of reaching the max wager limits during lengthy losing streaks is much smaller, which doesn’t apply to aggressive betting systems like the Fibonacci and the Martingale.

Another strong point of this system is that both casino and sports betting enthusiasts can implement it.

Things To Remember

The D’Alembert betting system comes with a set of risks and restrictions. While this system is effective in generating short-term profits, the winnings are far from life-changing. But, this is expected from a low-risk betting system.

Another disadvantage is that you could go on a long losing streak. If you experience 5 or 6 consecutive losses, there is no guarantee that you will get the same number of wins to offset the losses. Since the system relies on a slow recovery of losses, returning to a profitable position may take long if you experience an extended bad run.

How to Use the D’Alembert System Effectively

Below, I have provided some tips to maximise the D’Alembert system betting experience and optimise your potential for successful outcomes:

Start Off with a Modest Base Unit

While this system allows you to choose any amount to act as your base unit, I recommend keeping it small since a prolonged losing streak can dwindle down your bankroll or deplete it, resulting in significant financial setbacks. It’s advisable to start by staking £1 if it is your first time using this betting system.You can tweak your approach or reset your base unit if you achieve a win after a series of loses, rather than continuing to lower your bet. Doing this will ensure you mitigate any losses that you may incur in the long run.

Understand the Odds and Leverage Analysis

Before you implement this approach in sports betting, grasp how odds work and keep in mind that even money does not guarantee a win. When it comes to 1/1 odds (evens), expect UK bookies to adjust the probability they have implied from 50% to around 47% since there is usually 5%+ vig factored in. That means if the odds are 1/1 (50%), the bookmaker may actually offer around 0.95/1.05 or 1.90/1.90 (47%). For this reason, I recommend you back outcomes with 11/10 odds or greater.

Embracing the power of statistical analysis can help inform your betting decisions. Be sure to leverage historical data, team dynamics and player performance metrics to identify patterns and trends. You can incorporate these insights to make informed choices.

FAQs

  • Is the D’Alembert betting approach low-risk?
    Yes, the D’Alembert is considered a low-risk approach to betting since it is not as volatile as other negative progression systems.
  • Do I need a large bankroll to use the D’Alembert system?
    You don’t need a lot of money to implement this betting system. You can use the D’Alembert system with a small bankroll. It’s even advisable to start small.
  • Does the D’Alembert system work?
    Yes, the D’Alembert system works, but only when used on even money wagers.

Alex, a ten-year iGaming industry veteran and Managing Editor at BettingTools specializes in sports betting and betting tools. He also provides insightful reviews, ensures the accuracy of all offers, and maintains content quality helping you make informed choices. Combining professional expertise with a passion for football and soccer, Alex ensures we offer you a reliable resource, focusing on betting tools to assist with odds, accas, and other betting strategies.