Martingale system roulette

What the Martingale system in roulette is

The Martingale is the oldest and best-known negative progression, a staking plan that raises bets after losses. You pick an even-money bet such as red or black, odd or even or high or low, stake one unit, and double the stake every time you lose. When you finally win, the payout covers all the earlier losses and leaves you one unit up, and you go back to the starting stake.

The idea dates back to 18th-century France, where the Martingale family of strategies was popular. It has survived because it looks airtight on paper: a losing run can't go on forever, so surely a win must come. The flaw is that you don't have unlimited money or unlimited table limits, and the rare losing streak that breaks you costs far more than all the small wins put together. Our overview of roulette betting systems puts it alongside the others.

How a Martingale roulette sequence adds up

Here's what a run looks like with a £5 starting stake. Each row shows the stake for that spin, the total lost if it loses, and your overall result if it wins instead.

Notice the right-hand column never changes. However deep you go, a win only ever recovers your losses plus £5. Meanwhile the stake needed to stay in the sequence doubles every spin, so by spin 8 you're putting £640 on the table to chase a £5 profit.

How a run unfolds, spin by spin

1. Stake one unit (£5) on an even-money bet.
2. If it wins, the sequence ends £5 up and you start again at £5.
3. If it loses, double to £10. A win now returns £20, covering the £15 at stake overall and leaving £5.
4. Keep doubling after each loss: £20, £40, £80 and so on.
5. The sequence ends either with a win (+£5 overall) or when the next doubled stake is more than your budget or the table limit allows, locking in the full loss.

Martingale odds: how likely is a losing streak?

On a single-zero wheel an even-money bet loses 19 times in 37: 18 numbers of the other colour plus the zero. The chance of losing several in a row is that figure multiplied by itself, (19/37) to the power of the number of spins. Wizard of Odds' Martingale answer (opens in a new tab) gives eight losses in a row at 0.004835.

A streak of seven might sound remote at about 1 in 106, but each sequence is a fresh attempt. Run 100 sequences in an evening and the chance that at least one of them hits seven losses is roughly 1 − (1 − 0.0094)^100, about 61%. Rare per sequence doesn't mean rare per session. The independent events page explains why earlier spins don't make a win any more 'due'.

Table limits and the true cost of the Martingale

Every roulette table has a maximum bet, and that's where the Martingale breaks down, even for players with deep pockets. Take a £5 base on a table with a £500 maximum. The sequence can run £5, £10, £20, £40, £80, £160, £320, seven bets in all. The eighth stake would be £640, which the table won't accept. So each sequence is a bet of £635 against £5.

Worked example: the expected result of one sequence

The chance of losing all seven spins is (19/37)^7, or 0.94%. Otherwise, with a 99.06% chance, you win £5. The expected result per sequence is 0.9906 × £5 − 0.0094 × £635, which comes to about −£1.03. On average a sequence puts about £37.97 into play (larger stakes are needed only when earlier spins lose), and −£1.03 ÷ £37.97 is −2.70%: exactly the single-zero house edge.

That's the Martingale in one table: many small wins, a few crushing losses, and a net result that tracks the edge. Our gambler's ruin page shows why a finite bankroll facing a negative-expectation game will eventually run out, whatever the staking plan.

Why the Martingale can't beat the roulette house edge

Every spin carries the same negative expected value, and adding up negative bets of different sizes can only give a negative total. As the Wizard of Odds betting systems page (opens in a new tab) puts it, betting systems not only fail to beat games with a house advantage, 'they can't even dent it'. Its roulette simulation found a loss-to-wager ratio of 0.052668 for a flat bettor and 0.052688 for a Martingale bettor with a $200 maximum, both matching the double-zero edge of about 5.26%.

The Martingale changes the shape of your results, not their average. It turns a steady trickle of small losses into lots of small wins punctuated by rare large losses. That shape is what fools people: most nights end slightly ahead, so the system seems to work until the night it doesn't. In a separate craps simulation, Wizard of Odds found Martingale bettors went broke in 19.65% of sessions, while the loss-to-bet ratio still matched flat betting.

Encyclopaedia Britannica, as quoted by Wizard of Odds, says a system 'in the long run cannot overcome the house's advantage of the 0, or 0 and 00'. No progression, however clever, changes the payouts or the number of pockets.

Does the Martingale work better on French or European roulette?

The wheel changes the cost, not the outcome of the system. A single-zero European table charges 2.70% on even-money bets. On a French table with La Partage, half your even-money stake comes back when zero lands, halving the edge to 1.35%. On an American double-zero wheel, it's 5.26%. Whatever wheel you play, Martingale stakes are charged the same edge as flat stakes, so a French table halves the long-run cost of a Martingale session the same way it halves the cost of flat betting. It doesn't make the system profitable.

In pounds: if a session puts £1,000 through on even-money bets, the average cost is about £13.50 with La Partage, £27 on a European table and £52.60 on an American one, with or without doubling. See French roulette for the rule in full.

The Martingale against other roulette systems

Other staking plans change the pattern of bets but share the same fate. Here's how they compare, using Wizard of Odds' simulation results where it published them.

Martingale myths that cost money

• 'Red is due after five blacks.' Each spin is independent. In summer 1913 at Monte Carlo the ball fell on black 26 times in a row, the best-known example of the gambler's fallacy. A Martingale on red would have had to double 26 times in a row just to reach the 27th spin.
• 'A big enough bankroll makes it safe.' Table limits cap the sequence, and the expected loss per pound staked stays at the house edge however much you start with.
• 'It's a low-risk way to make steady money.' The steady small wins are paid for by rare, large losses, and the average is negative. Gambling isn't a way to make money.
• 'Switching to a smaller base fixes it.' A £1 base on a £100 table gives the same seven-step ladder and the same −2.70% average.

The Martingale and chasing losses

Doubling after a loss is chasing losses with a formula, and chasing is one of the clearest warning signs of harmful gambling. If you notice the urge to double up to 'get back' money, that's the moment to stop. Our page on chasing losses explains why it happens and what helps.

Practical steps: set a deposit limit before you play, decide your session budget in advance, and treat it as the cost of entertainment. If gambling stops being fun, free and confidential help is available 24/7 from the National Gambling Helpline on 0808 8020 133, run by GamCare (opens in a new tab), and GAMSTOP lets you block yourself from all UK-licensed gambling sites.

Martingale roulette at UK online casinos

The UK's online slot stake caps don't apply to roulette, so the only ceiling on a doubling sequence is the table's own maximum and your budget. UK rules ban autoplay on all casino games, so every doubled bet has to be placed by hand, and casino games other than slots must allow at least 5 seconds per round. Your net spend and time played must be shown in real time, which makes the running cost of a sequence easy to see. The glossary entry on table limits explains how maximums work, and the roulette hub covers every bet and variant.

Where to play roulette and how bonuses fit

None of our partner offers suits a roulette staking plan. Coral's spins are for slots, 10bet's bonus must be wagered on slots, and Casumo's bonus carries game restrictions and a £5 maximum bet, which would stop a doubling sequence early in any case. Table games are often excluded from wagering or count for less, so check the terms and the casino's roulette lobby. 18+, terms apply.

• Casumo: 50% up to £100 on a first deposit of at least £20, opt-in needed; the bonus must be wagered 10x within 7 days, and bets are capped at £5 while it's active.
• 10bet: pick the casino welcome bonus and deposit within 7 days for a 100% match up to £25, wagered 10x on slots within 3 days; bonus winnings are capped at £1,000, and Skrill and Neteller deposits are excluded.
• Coral: a slots deal: deposit and bet £10 on slots to receive 100 free spins at 10p on selected games, accepted within 48 hours and valid for 7 days, with no wagering on winnings. Some deposit methods don't qualify, and the offer ends on 1 February 2027.

18+. Every casino game has a built-in house edge, so over time you should expect to lose what you stake. Set a budget before you play and stop when it’s gone: safer gambling tools and support. Free, confidential help: National Gambling Helpline 0808 8020 133.