D'Alembert System Calculator
A gentler progression: +1 unit on a loss, −1 on a win.
| Step | Level | Bet | Cumulative loss |
|---|---|---|---|
| 1 | 1× | 10 ₽ | 10 ₽ |
| 2 | 2× | 20 ₽ | 30 ₽ |
| 3 | 3× | 30 ₽ | 60 ₽ |
| 4 | 4× | 40 ₽ | 100 ₽ |
| 5 | 5× | 50 ₽ | 150 ₽ |
| 6 | 6× | 60 ₽ | 210 ₽ |
| 7 | 7× | 70 ₽ | 280 ₽ |
| 8 | 8× | 80 ₽ | 360 ₽ |
| 9 | 9× | 90 ₽ | 450 ₽ |
| 10 | 10× | 100 ₽ | 550 ₽ |
| 11 | 11× | 110 ₽ | 660 ₽ |
| 12 | 12× | 120 ₽ | 780 ₽ |
| 13 | 13× | 130 ₽ | 910 ₽ |
How it works
D'Alembert is a gentle negative progression: raise the stake by one base unit after every loss and lower it by one unit after every win. The bet grows in a straight line, not by doubling, so the bankroll lasts far longer than under Martingale.
Its appeal is the claim that once your wins equal your losses you are ahead by one unit per win. That is true arithmetically, but it does not change the negative expected value — a long losing streak still ratchets the stake up and can run away from the bankroll.
D'Alembert System Calculator
The D'Alembert system is a gentle negative progression: raise your stake by one unit after a loss and lower it by one unit after a win. This free calculator shows the bet ladder, how long a bankroll survives a losing streak, and the profit the system claims when wins eventually equal losses.
How D'Alembert works
Start at a base unit. Every loss adds one unit to the next bet; every win subtracts one. So a run of losses climbs 1, 2, 3, 4 units rather than doubling, and the cumulative loss after k straight losses is base × k(k+1)/2.
The idea rests on the gambler's belief that wins and losses balance out. When the number of wins equals the number of losses, the system is ahead by exactly one base unit per win — a real arithmetic property of the progression.
The catch
Wins and losses only balance out on average, and only over the long run — and the long run contains streaks. A losing streak ratchets the stake up one unit at a time, and there is no guarantee the matching wins arrive before the bankroll or the table limit is reached.
Like every staking system, D'Alembert cannot turn a negative-edge bet positive. It smooths the variance and slows the bleed compared with Martingale, which is its genuine appeal, but the expected value stays negative.
What is the D'Alembert system?expand_more
A betting progression where you increase the stake by one unit after a loss and decrease it by one unit after a win, on even-money bets.
Is D'Alembert better than Martingale?expand_more
It is safer in the sense that stakes rise linearly rather than doubling, so the bankroll lasts much longer. But it has the same negative expected value and can still be beaten by a long losing streak.
Does D'Alembert guarantee profit when wins equal losses?expand_more
Arithmetically you are ahead by one unit per win once wins and losses are equal. The problem is reaching that balance: streaks can drive the stake beyond your bankroll first.