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Negative progression

The D'Alembert Plinko Strategy

By James Fuller · Fact-checked by Nikita Jones · Updated Jul 2026

Often seen as the more cautious cousin of the aggressive Martingale, the D'Alembert system is a negative progression built on a principle of equilibrium: increase your stake by one unit after a loss, decrease it by one unit after a win. This PlinkoNet guide shows how to apply it to Plinko — and gives an honest analysis of its advantages and critical risks.

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Key takeaways

Increase your bet by one base unit after a loss; decrease by one unit after a win — never below the base.
A cycle is complete when your bet returns to the single base unit, typically leaving a small profit.
Best suited to a Low-risk setting targeting a ~2.0× multiplier for near-even-money conditions.
Keep your base unit to 0.5%–1% of bankroll and hold at least 50–100 base units in reserve.

Diving into the D'Alembert strategy: how it works

The D'Alembert system, named after the 18th-century French mathematician Jean le Rond d'Alembert, is a straightforward betting strategy built on a theory of equilibrium. The core idea, often linked to the "Gambler's Fallacy," is that over the long term the number of wins and losses will eventually even out. The strategy therefore dictates a simple arithmetic progression: you increase your stake after a loss and decrease it after a win, aiming to recover losses gradually.

Unlike the Martingale system, which doubles the bet after each loss (a geometric progression), D'Alembert uses a much gentler approach around a fixed "base unit." This makes it a significantly less volatile and more beginner-friendly system for bankroll management, as it avoids the rapid, exponential stake increases that can quickly deplete a player's funds.

Applying D'Alembert in Plinko — step by step

The system was designed for even-money bets, so the goal in Plinko is to replicate those conditions as closely as possible on a Low-risk setting near the 2.0× mark.

Define your base bet unit

Your base unit should be a small fraction of your total bankroll — typically between 0.5% and 1%. For a $100 bankroll, a base unit of $0.50 or $1 is a sensible start. See our bankroll management guide.

The rule after a loss

If a drop results in a loss (a payout less than your stake), you increase your next bet by one base unit. With a $1 base, a loss takes you to $2, then $3, and so on.

The rule after a win

If a drop is a win (a payout greater than your stake), you decrease your next bet by one base unit. You never go below the starting base unit — a win at the $1 base keeps the next bet at $1.

When to end the cycle

A cycle is complete when your bet size returns to the single base unit after a series of wins. At that point you have typically recovered previous losses plus a small profit, and can start a new cycle.

D'Alembert example — $1 base, targeting 2×

Step	Bet	Result	Profit/Loss	Next Bet	Total P/L
1	$1.00	Loss	−$1.00	$2.00	−$1.00
2	$2.00	Loss	−$2.00	$3.00	−$3.00
3	$3.00	Win	+$3.00	$2.00	$0.00
4	$2.00	Loss	−$2.00	$3.00	−$2.00
5	$3.00	Loss	−$3.00	$4.00	−$5.00
6	$4.00	Win	+$4.00	$3.00	−$1.00
7	$3.00	Win	+$3.00	$2.00	+$2.00
8	$2.00	Win	+$2.00	$1.00	+$4.00
9	Cycle ends — bet returns to the $1 base unit

+1 unit after every loss

base

loss 1

loss 2

loss 3

Arithmetic +$1 steps, not Martingale's doubling

Is D'Alembert a match for you?

The D'Alembert system isn't for everyone. It best suits cautious players, beginners and those focused on extending gameplay rather than chasing big, quick wins.

Suited for

Cautious players and beginners
Players with moderate bankrolls
Anyone focused on extending gameplay, not chasing big wins

Not recommended for

High-rollers and thrill-seekers
Players with a very small bankroll
Anyone who can't withstand even a modest losing streak

Bankroll requirements

While D'Alembert is less demanding than Martingale, an adequate starting fund is still essential to withstand inevitable losing streaks. A good rule of thumb is a total bankroll that can cover at least 50 to 100 of your chosen base units. Set a firm stop-loss (e.g. losing 25% of your bankroll) and stick to it — see our full Plinko bankroll management guide.

Hold 50–100 base units in your bankroll

A buffer large enough to handle a sequence of losses without abandoning the strategy prematurely.

$1 base unit →

$50–$100 bankroll

Strengths

Much safer on your bankroll than aggressive systems like Martingale — the slow arithmetic progression stops bets spiralling out of control.
Simple to learn and implement — the only rule is +1 unit on a loss, −1 unit on a win, requiring only basic arithmetic.
Psychological comfort — the gradual bets promote disciplined play and help manage emotional reactions after losses.

Pitfalls

Very slow to recover losses after a prolonged losing streak.
Does not overcome the house edge in the long run.
Based on the flawed Gambler's Fallacy — it assumes past results influence future outcomes.

Adapting to Plinko's settings

The Low-risk setting is by far the most suitable — it offers frequent, smaller payouts with multipliers hovering around 2.0×, ideal for this even-money system.
Using D'Alembert on a High-risk setting is extremely dangerous. Aim for a ~2.0× target; chasing higher multipliers defeats the purpose. See our Plinko risk levels and odds & probability guides.

Keep reading

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Answers

D'Alembert strategy FAQ

Is the D'Alembert system better than Martingale for Plinko?

For most players, yes. It is significantly safer as it doesn't require doubling your bet, which protects your bankroll from being wiped out quickly. Martingale offers faster loss recovery but at a much higher risk. D'Alembert prioritises bankroll preservation.

What is the main risk of using the D'Alembert system?

The biggest risk is a prolonged losing streak. While individual losses don't cause your stake to skyrocket, a long series will still lead to a large bet size and a significant deficit that can be very slow and difficult to recover, potentially eating through your entire bankroll before you hit a winning run.

What Plinko risk level works best with the D'Alembert system?

The Low-risk setting is the most suitable, as it provides more frequent payouts around the 2.0× multiplier, which is the ideal scenario for this even-money betting strategy. Using it on High risk is not recommended. For more, see our Plinko risk levels guide.

Can the D'Alembert strategy guarantee a profit?

No, it cannot. No betting system can overcome the casino's inherent house edge. D'Alembert is a tool for managing your bets and bankroll to provide a more structured and less volatile session, but it does not guarantee long-term profitability.

Written by James Fuller

Senior reviewer — games & casinos · reviewed & fact-checked by Nikita Jones, Editor

UK freelance iGaming and sports-betting writer with 10+ years covering bookmaker reviews, slots and poker (bylines on ReadWrite and SportsBoom). Runs our game reviews and hands-on casino testing.

“I don't trust a headline RTP until I've dropped a few hundred balls myself and watched where they actually land.”

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