D’Alembert Roulette Strategy in Rob Run - Stakes, Limits & Examples
Learn the one-unit-up, one-unit-down D’Alembert system with Rob Run chip amounts, worked spin results and the $200K spot limit.
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GUIDE & MATHS: MIKKEL
HANSENINDEPENDENT FAN PROJECT · LENNY IS A FICTIONAL HOSTHOW THE D’ALEMBERT ROULETTE STRATEGY WORKS.
D’Alembert is a negative progression for even-money bets. Set a fixed base unit, increase the next stake by one unit after a loss and decrease it by one unit after a win. Never reduce the next stake below one unit. A win at the base simply means another base-unit bet.
For the Rob Run example, use $1K units on black: a loss at $1K leads to $2K, then $3K after another loss. A win at $3K makes the next stake $2K. You add or remove the base unit, not the denomination of the last chip you clicked.
The name comes from Jean le Rond d’Alembert. The useful distinction for a player is the fixed one-unit adjustment. The idea that earlier outcomes make an opposite result due is the gambler’s fallacy; the next independent spin keeps the same probabilities.
D’ALEMBERT IN ROB RUN: A $1K WORKED EXAMPLE.
| Spin | Stake on black | Result | Running net | Next stake |
|---|---|---|---|---|
| 1 | $1K | Loss | −$1K | $2K |
| 2 | $2K | Loss | −$3K | $3K |
| 3 | $3K | Loss | −$6K | $4K |
| 4 | $4K | Win | −$2K | $3K |
| 5 | $3K | Win | +$1K | $2K |
After the first three losses, $6K is gone. Winning the $4K bet leaves the session $2K down. The next $3K win brings it $1K ahead. A lower next stake after a win does not mean the wallet has recovered.
To reproduce the example in our simulator, use black only, check the existing amount on that spot and adjust with $1K chips. Clear or remove excess chips when the prescription decreases. Your chosen unit stays $1K even if you use a $5K chip to assemble a later stake.
D’ALEMBERT CHIP SIZES AND TABLE LIMITS.
| Base unit | Allowed consecutive-loss bets | Largest stake | Cumulative loss | Next blocked bet |
|---|---|---|---|---|
| $1,000 | 200 | $200,000 | $20,100,000 | $201,000 |
| $5,000 | 40 | $200,000 | $4,100,000 | $205,000 |
| $25,000 | 8 | $200,000 | $900,000 | $225,000 |
| $50,000 | 4 | $200,000 | $500,000 | $250,000 |
| $100,000 | 2 | $200,000 | $300,000 | $300,000 |
At $1K units, the 200th loss-path bet is $200K and the next $201K stake is blocked. Funding and losing all 200 would cost $20.1M. At a $100K base, only two loss-path bets fit: $100K and $200K. The next $300K bet is blocked.
The table limit is therefore not irrelevant just because the progression is linear. Bankroll and a personal stake ceiling are often reached before the formal cap.
BANKROLL, STOP-LOSS AND A FIVE-UNIT CEILING.
Before playing, choose a virtual loss budget, a session length or profit target, and a maximum stake you are willing to place. With a five-unit personal ceiling and a $1K base, stop if the next prescribed stake would be $6K. Do not silently call a capped $5K repeat the original progression.
The first five consecutive losses cost $1K + $2K + $3K + $4K + $5K = $15K. A five-unit ceiling limits the next bet size; it does not limit an entire ongoing session to losing five units. Repeated restarts and repeated capped bets can lose much more.
D’Alembert has no compulsory three-win finish like the Paroli version in this guide. Ending at a target is your session rule, not a guarantee supplied by the system.
D’ALEMBERT VS MARTINGALE AND FIBONACCI.
On a consecutive-loss path, D’Alembert moves 1–2–3–4–5, Fibonacci moves 1–1–2–3–5, and Martingale moves 1–2–4–8–16. D’Alembert eventually grows more slowly than the other two, but an individual win does not promise full recovery.
It suits virtual practice where you want to observe gradual stake adjustments and keep a clear ledger. It is not a low-risk route to guaranteed loot or a reason to extend a session after its budget has gone.
Our simulator uses a European single-zero wheel with 37 pockets. An even-money bet covers 18 numbers: its win probability is 18/37, or 48.65%, and its loss probability is 19/37, or 51.35%. Zero loses. There is no la partage or en prison. The 2.70% house edge applies to turnover regardless of your progression.
Compare all Rob Run roulette strategies, inspect individual bets in the Pattern Calculator and check the payout chart. The pattern calculator repeats a fixed spread; it does not automatically run a stake progression.
D’ALEMBERT ROULETTE FAQ.
Is D’Alembert safer than Martingale?
Its stakes grow linearly on a loss path rather than doubling. That changes exposure; it does not eliminate losses or make sessions profitable by design.
Do I add one chip or one unit after a loss?
Add your fixed base unit. If the base is $1K, a $25K chip is 25 units, not one unit.
What happens after a win at the minimum stake?
Keep the next stake at one base unit. Do not reduce below the $1K table minimum.
Can a D’Alembert win still leave me behind?
Yes. Losing $1K, $2K and $3K, then winning $4K, leaves a $2K net session loss.
THE RULES BEHIND THIS GUIDE.
The progression rules were cross-checked against Michael Shackleford’s D’Alembert analysis at Wizard of Odds. Its session variants may differ; the exact version used here is stated above. Rob Run chip amounts and cap examples are independently calculated for our simulator. The result tables are illustrations, not recorded game sessions.
Former casino dealer in Denmark and former professional poker player. Mikkel is responsible for this independent fan project’s content and roulette calculations. Lenny is our fictional host.
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