There are almost as many betting systems in play today as there are casinos and many players will have their own strategies devised for whatever game it is they are playing. However, a number of gambling techniques are tried and trusted among the gambling community and have been used worldwide for many years, one such strategy is the D’Alembert.

Jean le Rond d'Alembert

Jean le Rond d’Alembert (1717-1783)

Named after French mathematician Jean le Rond d’Alembert (1717-1783), he originally argued that a tossed coin that had landed on Tails was more likely to land on Heads if tossed again. Towards the late 18th century this line of thinking was then applied to a gambling system, players who lost a round would up their wagers believing that they had a greater chance of winning the following round and gaining their money back with future bets. Although the principals can be applied to many casino games, it was originally devised for roulette and is commonly still used today by many players at both online and offline casinos.

The D’Alembert system explained

In order to simplify things, for this example we will apply The D’Alembert system to the casino game it was originally intended for, roulette.

Compared to other widely used betting systems such as the Labouchere, the D’Alembert is a relatively simple system and very similar to the Martingale Strategy.

The main difference between these two being that the D’Alembert betting system has a much lower level of wagering progression than the doubling down method of the Martingale and is a great option for those players who would like a lower risk version of this strategy.

As mentioned, using roulette for this explanation, the original game the D’Alembert betting system was created to work for and using the 50/50 outside bets, on a table these would be Red/Black, Even/Odd and 1-18/19-36. The concept behind this, using Jean le Rond d’Alembert’s original rationale, is that each bet over the long term would eventually even out with the 50/50 odds, so for example a streak of even numbers must surely be followed by a streak of odd numbers.

The first thing to do is choose a single lowest amount or unit as it is known, you would like to wager for the strategy whether that is £1, £2, £10, £1000, any amount that suits your budget, it is completely up to you, although it is best to keep in mind that the D’Alembert betting system may require wagering several times this amount.

Generally it is best not make this figure (unit) more than 1% of your total budget with most experts suggesting somewhere between 0.33% to 0.50% to stay on the safe side and reduce risk, risk being something all betting systems entail no matter what the strategy.

Once the first bet is placed (single unit) players gradually increase or decrease their next bet depending on the outcome by a single unit. Wagers for the next round are either increased by one unit if they lose or decreased by one unit if they win, see below for a typical example of a gaming session using the D’Alembert system.

Using £1 as the single wager or unit played over 10 rounds/spins:

RoundBet (£)OutcomeProfit (£)Total Profit (£)

In the above example, though there is an even split on the win/loss ratio it is still possible to come out on top and one of the major draws of the system.

The benefits of the D’Alembert betting system

1. The D’Alembert betting system is extremely easy to implement with no need to keep a note of any result patterns, unlike the Labouchere system for example.

2. As the D’Alembert betting system requires placing incremental small bets it can be used even with a relatively small budget.

3. The lower value wagers also mean there is little chance of hitting a table wagering limit, which is normally a sure-fire way of scuppering any gambling technique and something other larger value strategies run a much higher risk of doing.

Issues with the D’Alembert strategy

1. If you are particularly unlucky and hit a very long losing streak then there is always a risk of losing all your money and/or hitting the table limit, the same as any other system.

2. Being a low risk strategy not only means smaller bets but smaller winnings as well, so do not expect any big gains.

3. Recovering from a losing streak is difficult due to the small wagers used, unless you get lucky and hit a long winning streak.

4. The odds are always slightly in the house favour, so apply the system for too long and the chances of winning diminish.

Place your bets

Players using the D’Alembert betting system should not expect to get rich any time soon, however if you are looking for a strategy that is relatively low risk, simple to implement and easy on the budget then the D’Alembert is the perfect fit.

As betting systems go the D’Alembert is better suited to the novice player looking to dip their toes into the world of roulette, or whatever game takes their preference and is the ideal stepping stone before taking on riskier, more complicated strategies.


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