ProgressivebeginnerD'Alembert

D'Alembert

Increase your bet by one unit after a loss, decrease by one after a win. Slower and safer than Martingale.

Overview

The D'Alembert system is the cautious sibling of the Martingale. Instead of doubling on a loss, you add exactly one unit. After a win, you subtract one unit. The theory rests on a balance assumption: over time, wins and losses should equalize — and every time they do, you come out ahead by the count of balanced pairs. Bet sizes grow linearly, not exponentially, so runaway streaks are far less catastrophic.

How It Works

Choose your unit size

Your unit is the increment added or removed with each spin result. A typical starting point: 1–2% of your session bankroll. Start with 1 unit as your opening bet.

Place your even-money bet

Bet on Red, Black, Odd, Even, 1–18, or 19–36. Stay on the same outcome for the session.

Lose → add one unit

Increase your next bet by exactly one unit. There is no doubling — each step is predictable and capped by your bankroll, not exponential growth.

Win → subtract one unit

Decrease your next bet by one unit. If you're already at one unit, stay there.

Profit when balanced

Every time your win count equals your loss count from any starting point, you've netted (wins × 1 unit) profit. Lock it in by resetting if you're back at your starting bet level.

The Bets

Standard Bet Placement

Highlighted zones = covered by this strategy

Black1:1

Stake10 chips

Coverage48.6%

Example Sequence

Example Sequence (unit = 10 chips)

Unit size: 10 chips

Spin 1−10, next: 20

Spin 2−30, next: 30

Spin 3+30, next: 20

Spin 4+20, next: 10

Spin 5Back to start

Total wagered: 90 chips

Net: +20 chips

The Math

With N wins and N losses from any start position: Net result = N × unit_size Example (unit = 10, 2W + 2L): −10 − 20 + 30 + 20 = +20 chips (2 × unit) Key difference from Martingale: After 6 consecutive losses: Martingale next bet = 640 (×64) D'Alembert next bet = 70 (×7) The trade-off: recovery from a long losing streak requires multiple consecutive wins.

Bankroll Guide

Recommended Bankroll

500 chips

Unit Size

10 chips

Stop-Loss

200 chips

Take-Profit

150 chips

After 10 consecutive losses, your next bet is 110 chips — still manageable with a 500-chip bankroll. The D'Alembert is significantly more forgiving than the Martingale during bad streaks.

When to Walk Away

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Walk away when you've returned to your opening bet level after a profit — the sequence has completed cleanly.

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Stop when losses exceed 40% of starting bankroll.

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Stop when you reach take-profit (e.g., +30% of starting bankroll).

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Stop if your current bet exceeds 15% of your remaining chips.

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The 'equilibrium' assumption — that wins and losses will balance — has no mathematical basis within any finite session. The house edge means the average outcome is negative regardless of bet sizing. D'Alembert manages risk; it doesn't eliminate it.

Ready to test it?

Try in Simulator· bets pre-loaded