D'Alembert strategy

The quietest progression: one unit more after a loss, one unit less after a win, never below one.

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Last numbers

Balance: 5,000
Last win: 0

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Bet0

Red, black and zero

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unit after each loss: +1
unit after each win: −1
unit minimum: 1

How the D'Alembert works

Start with one unit on an even-money chance. Each loss adds one unit to the next bet, each win takes one away. The bet climbs slowly during a bad run and comes back down as wins arrive.

Its useful property: over a stretch where you win as many spins as you lose, you finish up by one unit per spin won. A run of losses still pushes the bets up, just far less brutally than the martingale.

What the tester shows

With 1,000 to start, a 5 base bet and 100 spins, a little over half of the sessions end in profit and about 1 in 10 runs out of money. Try it with a smaller base bet to see how the risk changes.

Test it on 2,000 sessions

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sessions end in profit: –
sessions run out of money: –
median session: –
worst session: –
best session: –
sessions hit the table maximum

One session, spin by spin

Every session is played with the same random draw as the table above. Nothing here is an estimate.