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D'Alembert Strategy for Roulette Explained - Expert Guide

The D’Alembert roulette strategy is easy to learn and fun to play with. Created by a French mathematician in the early 1800s, this strategy stands the test of time. Similar to the Martingale strategy, only less risky, so read on to find out how it works.

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What is the D’Alembert System?

Named after the 18th-century French mathematician Jean-Baptiste le Rond D'Alembert, the D'Alembert system is linked to his assumptions about equilibrium in numbers, although less substantiated than his physics breakthroughs.

Similar to the Martingale strategy, D'Alembert centre's on even-money bets (Red/Black, Odd/Even, 1-18/19-36, etc.). Unlike the Martingale, the D'Alembert system involves adding one unit to your bet after a losing and decreasing your bet by one unit after a win.

The D'Alembert system relies on the assumption of an approximately equal number of reds and blacks, odds and evens, yet the house edge inevitably favours the casino.

How the D’Alembert works in Roulette

In the D'Alembert system, all bets are placed on even-money sections, with a pay out of 1:1. Using European Roulette as an example, start with a base unit stake, let's say $1. If the bet loses, the next wager increases to $2, then $3, and so on. Winning a $3 bet would result in the next bet decreasing to $2.

Alternatively, the Reverse D'Alembert strategy, involves increasing your stake by one unit after a win and decreasing them by one unit following a losing spin.

Advantages of the D’Alembert system

The primary advantage of the D'Alembert system lies in its ability to manage streaks, especially in the short term. Unlike the Martingale strategy, it avoids doubling stakes after each losing bet, allowing things to even out when wins balance losses.


Even after six consecutive losing spins, the losses amount to just 21 times the base stake, in contrast to the $63 deficit incurred with the Martingale system.

D'Alembert, while emphasizing equilibrium, acknowledges the existence of streaks. In roulette and other gambling games, players can experience both extended winning streaks and challenging losing ones.

Disadvantages to the D’Alembert betting plan

Experiencing losing streaks is a common occurrence for all gamblers, and the D'Alembert system is not exempt from this reality. Even with a modest increase of stakes by one unit, significant losses can occur during a streak of bad luck.

Roulette, with its potential for prolonged cold streaks, compounds the challenge, particularly considering the house edge. The presence of the green zero (or double zero in American Roulette) inherently favors the house, causing all even-money bets to lose.

In the long run, roulette players statistically succumb to losses against the casino. In European Roulette, the house edge stands at 2.7%, equivalent to $2.70 for every $100 wagered. In American Roulette, this figure increases to 5.26%, resulting in an average loss of $5.26 for every $100 bet.

To navigate through streaks, a strategy involves a slight adjustment to the base unit rule. Rather than increasing the unit by 1 after each losing spin, consider increments of 2 or 3 to better manage variations in fortune.

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