18+Gambling should stay fun. Free, confidential help: BeGambleAware.org · National Gambling Helpline 0808 8020 133

Martingale System: Why Doubling After Losses Cannot Beat the Odds

Dealer laying out cards above a tray of casino chips on blue felt

The Martingale system is a betting progression in which you double your stake after every loss on an even-money bet, so that the next win recovers all previous losses plus one original stake. It wins small amounts very often, but when a long enough losing streak arrives, the doubled stakes exceed your bankroll or the table limit and the loss is large. The Martingale system does not change the house edge.

This talk shows how the system works, why it feels successful and what the numbers say when the bad streak comes. The figures come from the Wizard of Odds Martingale analysis, and you can test your own numbers in our Martingale reality check.

The Martingale System in Numbers

Losses in a rowNext stake (units)Total lost so far (units)
121
243
387
41615
53231
66463
7128127
8256255

After each win you return to one unit, having made one unit of profit on the sequence.

How Does the Martingale System Work?

You pick an even-money bet, such as red in roulette or the Pass Line in craps, and stake one unit. If you win, you bank one unit and start again. If you lose, you double. Because each stake is bigger than all previous losses combined, a single win at any point recovers everything and leaves one unit ahead. As the Wizard of Odds puts it, the bankroll needed is one less than a power of two: to survive eight losing bets you need 255 units.

Why Does It Feel Like It Works?

Because it usually does, in the short term. On the baccarat Player bet with enough bankroll for eight bets, the Wizard of Odds puts the chance of reaching the one-unit goal at 0.995646. Most sessions end with a small win, and that run of successes is what makes the system persuasive.

The catch is the rare session that does not end with a win. In that case the player loses the whole 255-unit sequence. The many one-unit wins and the occasional 255-unit loss balance out, and the house edge on every single bet still applies, so over time the system loses at the same rate as flat betting on the same game.

What Happens When the Losing Streak Comes?

Losing streaks are a normal part of random games. On a European roulette wheel, red loses on 19 of the 37 pockets, so runs of six, seven or eight losses happen far more often than most players expect. When one arrives, the next required stake can exceed your bankroll or the table maximum, and the system has no way to recover. Our Martingale reality check shows the chance of meeting that streak over the number of rounds you plan to play.

Does Any Betting System Beat the House Edge?

No. The Wizard of Odds’ review of betting systems reaches the same conclusion for all of them: changing the size of your bets cannot change the expected return of each bet. Progressions such as the Martingale, the Labouchere and others only rearrange when wins and losses arrive. The only things that lower your expected loss are choosing bets with a smaller house edge and staking less in total, which is the idea behind a gambling budget. Our odds and strategy track explains both.

Frequently Asked Questions

Does the Martingale system work in roulette?

It produces frequent small wins but cannot overcome the house edge. On a European wheel every bet keeps 2.70% on average, and doubling stakes simply increases the amount exposed to that edge. Sooner or later a losing streak meets your bankroll or the table limit, and that single loss cancels the many small wins.

Why do casinos allow the Martingale system?

Because it does not threaten the casino’s edge. Every bet placed under the system carries the normal house edge, and table limits cap how far a player can double. From the casino’s point of view, a Martingale player is simply a player whose stakes vary, often upwards.

What bankroll do you need for the Martingale?

To cover a given number of losing bets, you need one unit less than two to the power of that number. Eight bets need 255 units, nine need 511 and ten need 1,023, according to the Wizard of Odds. Each extra bet you can survive roughly doubles the money at risk for the same one-unit target.

Is the reverse Martingale any better?

No. Doubling after wins instead of losses changes the pattern, giving frequent small losses and occasional runs of wins, but every individual bet still carries the same house edge. No arrangement of stake sizes alters the expected return of the bets themselves.

Where This Leaves You

The Martingale system trades many small wins for a rare large loss, and the house edge ensures the trade is a losing one over time. If you enjoy even-money bets, flat stakes on the lowest-edge bets you can find are cheaper and calmer. Set a budget before you play; our responsible gambling guide explains the tools. Should gambling start to feel like more than a game, BeGambleAware can help, free and in confidence.

How we prepared this talk: Probabilities and bankroll figures come from the Wizard of Odds Martingale analysis and its review of betting systems; the doubling table is simple arithmetic. The cover image is an illustrative stock photo.

LuckyTalks Editorial Team

The LuckyTalks Editorial Team explains casino games, odds and UK gambling rules in plain English. We work from primary sources such as Gambling Commission guidance and published game analyses, show the maths behind every figure and never present gambling as a way to make money.

Keep reading

  1. UK Casino GuideOnline Slot Stake Limit: The £5 and £2 UK Rules Explained Clearly
  2. Safer PlayGambling Budget: How to Set One and Make It Last Every Session
  3. UK Casino GuideUK Casino Complaints: How to Complain and When to Use ADR