Online Casino Betting with the D’Alembert Betting System

Ziv Chen

Updated by Ziv Chen


Last Updated 14th Mar 2024, 07:22 AM

Online Casino Betting with the D’Alembert Betting System

The D’Alembert betting system is a strategy that helps you manage your bankroll when playing blackjack, roulette and other casino games. This D’Alembert betting system guide will explain how the strategy works, how you can apply it to a variety of casino games at top online casinos, and the pros and cons of following it. Read on to become an expert in the D’Alembert system.

How D’Alembert System Works

Jean-Baptiste le Rond D’Alembert was a French mathematician, physicist and philosopher born in Paris back in 1717. He found fame as a leading contributor to the famous Encyclopédie, described as the greatest single enterprise of the Enlightenment, but nowadays he is more famous for his mathematical theory of equilibrium.

He explained that when a coin toss results in tails, it is more likely to land on heads the next time it is tossed. This hypothesis has since been discredited, and it is widely known as the gambler’s fallacy, but the D’Alembert system remains popular among many casino players. It essentially tells you how much you should stake on each spin of the roulette wheel, hand of blackjack or throw of the dice.

The D’Alembert betting system is typically applied to any casino game where there are two potential outcomes – for instance, betting on red or black on the roulette table. The idea is to increase your stake after a loss, and decrease your stake after a win.

Let’s say you start with a $1,000 bankroll. You can then decide your base unit stake. Some players choose 5% of their bankroll, while others are more conservative and go for 1% or 2%. If you decided to go for 2%, you would place an initial wager of $20. If that bet were to lose, the D’Alembert system would advise you to increase the stake to C$40 for your next bet.

If you lost again, you would stake $60 for your third bet.

If you won that bet, you would decrease the stake to $40 for your next bet. The idea is to move up by one base unit whenever you lose, and move down by one base unit whenever you win. If your very first bet is a winner, simply start again by betting one base unit. If at any point you return to one base unit and win, just play again, and only change your stake when you lose.

This table provides an example of how the D’Alembert system can be used in practice:

WagerStakeResult of BetWin / Loss
1️⃣ First Bet$10Loss-$10
2️⃣ Second Bet$20Loss-$30
3️⃣ Third Bet$30Win$0
4️⃣ Fourth Bet$20Win$20
5️⃣ Fifth Bet$10Win$30
6️⃣ Sixth Bet$10Loss$20
7️⃣ Seventh Bet$20Loss$0
8️⃣ Eighth Bet$30Win$30
9️⃣ Ninth Bet$20Win$50
🔟 Tenth Bet$10Loss$40
1️⃣1️⃣ Eleventh Bet$20Loss$20
1️⃣2️⃣ Twelfth Bet$30Win$50

In theory, the D’Alembert system is efficient if the number of winning bets works well if the number of winning bets matches or exceeds the number of losing bets. In practice, the house edge on casino games tips the scales against the player, but it is a popular bankroll management tool.

In some ways, it is similar to the Martingale system, as both involve negative progressions whereby the player increases the stake after losing and decreases it after winning. However, the Martingale system is a lot more aggressive, as it involves doubling your stake every time you lose. The D’Alembert system only requires the player to increase the stake by one base unit with every loss, so it is less volatile than the Martingale system.

Some players prefer to go with the reverse D’Alembert system, which you can often read about when searching for the D’Alembert system wiki. This involves increasing your wager by one unit every time you win, and decreasing it by a unit every time you lose.

The D’Alembert system and reverse D’Alembert betting system are popular because they are easy to understand, and help players keep on top of their bankrolls. Our D’Alembert betting system wiki guide explains the pros and cons of using this system, offers tips on how to proceed and provides examples of how it relates to blackjack, roulette, baccarat and craps.

D’Alembert Betting System Pros and Cons

There are several key benefits to using the D’Alembert betting system when playing casino games:

👍 This is a pretty low-risk betting strategy, as it carries a significantly lower variance level than other negative progression systems. It does not require steep increases, or decreases, as you always move up and down by just a single unit, so it is not particularly volatile.👎 You are unlikely to quickly rack up a large profit and walk away. Some systems involve rapidly scaling up the size of your bets, and while they carry a far higher risk, you can quickly make a large profit and leave the table if the results go your way. The D’Alembert betting system is more cautious.
👍 The risk of a lengthy losing streak draining your bankroll is a lot lower with the D’Alembert system than with alternative systems, like the Martingale betting system. You would only be pushed to the table limits if you endured a very long losing streak, which is unlikely when betting on binary games with close to even money odds on either outcome.👎 A prolonged losing streak can wipe out your bankroll reasonably quickly, as you double your stake every time you lose when using the D’Alembert betting system.
👍 You can enjoy yourself for a long time at the casino table by following the D’Alembert betting system. Alternative systems carry much higher risk, so you can lose your bankroll quickly if the results go against you.👎 It can be difficult to recoup all of your losses if they start to mount up when using the D’Alembert betting system. With the Martingale system, you double your stake with each loss, so you can get back to zero much quicker if the results turn in your favour.
👍 The D’Alembert betting system helps you think clearly about the size of your bankroll. It prevents you from randomly ramping up or decreasing your stakes without any strategy, and it gives players a greater sense of control while playing their favourite casino games.👎 The notion that a coin is more likely to land on heads if it last landed on tails has been disproved. This is now known as the gambler’s fallacy. You do not actually stand a greater chance of success if your last bet lost, so increasing your stake when you lose is not a fail-proof strategy.
👍 The D’Alembert system is easy to understand. You are unlikely to make miscalculations at the table, as you simply increase or decrease by one unit each time. Alternative systems involve more complex formulae, which increases the likelihood of you growing distracted and accidentally staking the incorrect amount. The simplicity of the D’Alembert betting system allows you to enjoy the game without continually making mental calculations.👎 The house edge means that your chances of success are not actually 50/50 each time you place a bet. For example, on a European roulette wheel with 37 pockets, 19 are against you because of the green zero, essentially giving you a 48.6% chance of success each time. Over a prolonged period of time, this means you are unlikely to win the same number of bets as you lose, so it makes it difficult to recover from losses incurred when using the D’Alembert betting system.

D’Alembert Blackjack Betting System

The D’Alembert system is generally used on binary betting options whereby each potential outcome has almost a 50% chance of success. It is therefore common on side bets when playing roulette, but it can also be used for blackjack. When playing a blackjack hand, there are essentially two outcomes – win or lose – and your chances of success on each hand are close to 50/50, so you can use the D’Alembert betting system at the blackjack table.

The theoretical RTP (return to player) on classic blackjack is 99.41%, which amounts to a pretty low house edge. By contrast, European roulette has an RTP of 97.3%, so blackjack should in theory be better suited to a system that requires the number of winning and losing bets to remain in balance.

The concept is the same. Set aside a bankroll and choose a certain percentage of it as your base unit. Start off by betting one unit per hand. If your bet wins, start again with one unit. If it loses, increase your stake to two units. Increase it by one unit every time you lose, and drop down a unit if you win a hand.


There are no hard and fast rules about what to do with any extra money you make from blackjacks, doubling down and splitting. You might just want to put leave that in your bankroll and continue using the D’Alembert to determine how much to stake on each hand.

The danger with any negative progression system is that you will reach the table limit before you can start to recoup your losses. The D’Alembert system might work best on a table with a relatively low minimum bet and a reasonably high table limit, and you might have a better chance of seeing a balance between winning and losing bets by spending a considerable period of time at the table. Remember to claim any bonuses and loyalty points, as they can eat into that small house edge on blackjack.

D’Alembert Roulette Betting System

Players are presented with several opportunities to apply the D’Alembert system when playing roulette. It is generally advisable to opt for European roulette as opposed to American roulette, as the RTP is higher on European roulette. American roulette features a zero and a double zero, which gives the house a greater edge. Learn the difference between American and European Roulette here.

If you play French roulette, you can also benefit from the la partage rule, whereby your loss is halved in the event the ball lands on zero. This brings the house edge on even-money side bets down to just 1.35% and it can make all the difference when you are using a D’Alembert roulette betting system.

You can apply a D’Alembert roulette betting system to side bets on red/black, odd/even, or 1-18/19-36, as it is an even-chance system. You would not want to use it when betting on individual numbers, corners, dozens or columns.

Start off with a bankroll and choose a percentage of it as your base unit. Some bettors say the safest option is 0.5% or 0.33% of your bankroll, while others go all the way up to 5%. Place your first bet with a stake of one unit. Watch the wheel spin, and if your bet is successful, start again by staking one unit. When you lose, increase your stake to two units.

When using the D’Alembert roulette betting system, you have to increase your stake by one unit each time you win, and decrease it by a unit each time you lose. That makes it a negative progression system. It is one of the safest roulette betting strategies, and many players like using it in the short term in a bid to rack up profits and walk away. However, you stand a better chance of seeing a balance between winning bets and losing bets if you stay at the wheel for a considerable period of time.

D’Alembert Betting System for Baccarat

The D’Alembert system is designed to slowly recoup losses rather than chase them in a bullish fashion. You can apply this strategy when playing baccarat, which has a relatively low house edge of 1.06% on the banker bet and 1.24% and the player bet.

You can start by assigning a set amount of money that you are comfortable with losing in a worst case scenario. This is referred to as your bankroll. Allocate a specific percentage of this bankroll as your base unit and stick to it throughout your session.

Place your first bet of one unit and watch on as the cards are dealt. If the hand you bet on is closer to nine, take your winnings and start again by laying down a stake of one unit. If your bet loses, up your wager to two units. Every time your bet loses, you increase the stake by a single unit, and every time you win a hand, you decrease it by a unit.

That makes the D’Alembert a pretty slow, safe and steady system. Your bankroll can be wiped out if you suffer a horrendous streak, but they are rare when you are placing almost even chance bets on a game with a low house edge like baccarat. You should not be in much danger of being hurt by the table limits, and you essentially try to cancel losses with a win.

Many baccarat players find that the D’Alembert system does not result in heavy losses, and it often works well for short winning streaks if you are prepared to walk away when ahead. It is a stable system and its simplicity has helped it win a place in the hearts of many baccarat players. You can also use the stretched D’Alembert betting system – 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2 and so on for your stakes – or flip it on its head and go for a reverse D’Alembert approach, which is a positive progression system.

D’Alembert Betting System for Craps

Craps is an extremely popular game and you can find it at all the best online casinos in the business. Many have video craps games controlled by RNG algorithms and live dealer games filmed in slick studios, and they will often provide enticing bonuses in a bid to convince you to sign up.

If you regularly play craps, you will know that there are several 50/50 bets to place. They include pass and don’t pass bets, come and don’t come bets, a Big 6 and a Big 8. The house edge ranges from 1.36% to 2.78% on these bets. You can apply the D’Alembert system to these bets if you plan to place a series of consecutive and identical wagers.

For example, you might decide to bet on don’t pass. Choose a certain percentage of your bankroll as a base unit, and wager that on don’t pass. If your bet wins, start again by placing another unit on don’t pass. If your bet loses, double your stake to two units. Continue increasing it by a single unit every time you lose, and dropping the stake down by a single unit every time you win.

You must stick to your base unit price, or the system will not work. Using the D’Alembert betting system when playing craps puts you in control of your bankroll and minimises the chances of it being wiped out. It generally helps you recoup any losses you incur while playing, but remember that the house edge ultimately tips the scales against you.

This is not a particularly risky or explosive strategy when playing craps, but it will appeal to cautious players that like to stay in control and enjoy a prolonged spell at the table. If you make a quick profit, you might consider walking away and enjoying your winnings.

Meet The Author

25 Years
Ziv Chen
Ziv Chen
Writer Writer

Ziv Chen has been working in the online gambling industry for over two decades in senior marketing and business development roles. Ziv writes about a wide range of topics including slot and table games, casino and sportsbook reviews, American sports news, betting odds and game predictions. Leading a life full of conflict, Ziv constantly struggles between his two greatest loves: American football and US soccer.

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