Does the martingale always win?

Each finished cycle wins one unit, but a cycle can fail: when the losses exceed your bankroll or the table maximum, you lose everything the cycle cost.

Which bet should I use with the martingale?

An even-money chance paying 1 to 1: red, black, even, odd, 1-18 or 19-36. On a French table, La Partage returns half the stake on zero.

How much bankroll does a martingale need?

To survive n losses in a row you need 2^n − 1 units: 127 units for 7 losses, 1,023 for 10.

Martingale strategy

Double your bet after every loss, go back to one unit after a win. Each won cycle earns one unit. The table below places every bet for you.

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Last numbers

Balance: 5,000
Last win: 0

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Bet0

Red, black and zero

Call bets

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unit per won cycle: +1
chance of 7 losses in a row on red: 0.94%
units for the 11th bet: 1,024

How the martingale works

Bet one unit on an even-money chance: red, black, even, odd, 1-18 or 19-36. If you lose, double the bet. When you finally win, the payout covers every loss of the cycle plus one unit, and you start again at one unit.

That is its appeal: most cycles end quickly with a small profit. With 1,000 to start, a 5 base bet and 100 spins, the tester finishes about 7 sessions out of 10 in profit.

The limit: a long losing streak and the table maximum

On a European wheel, red loses 19 times out of 37. Seven losses in a row happen in 0.94% of cycles, about once every 106 cycles. At 5 per unit, the 8th bet is 640: above a 500 table maximum, the progression stops and the cycle ends with a loss of 635.

Ten losses in a row (0.13% of cycles) cost 1,023 units and ask for 1,024 on the next bet. That is why, in the same tester settings, about 1 session in 5 runs out of money.

Is the martingale forbidden in casinos?

No casino forbids it. They limit it with the table maximum: in French casinos, even-money bets are capped at 360 times the minimum on English roulette and 1,000 times on French roulette. With a 1 unit start, that allows 9 and 10 bets in a row respectively.

Test it on 2,000 sessions

–
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.

Spin	Bet on red	Result	Cycle balance
1	5	Black	−5
2	10	Black	−15
3	20	Zero	−35
4	40	Black	−75
5	80	Red	+5