The Roulette Assistant

Does the Martingale work? 100,000 roulette sessions tested

A free Martingale roulette simulator result set: 100,000 simulated sessions on a single zero wheel showing the win rate, how often the bankroll is wiped out, and why doubling up cannot beat the house edge.

What it is and how it works

The Martingale doubles the stake after every loss and resets to the starting stake after every win. The idea is that one win recovers every loss in the run and adds one unit of profit on top.

The arithmetic of that claim is correct. The problem is not the arithmetic, it is that the doubling runs into the size of your bankroll long before the wheel runs out of losing streaks.

A simple example at a base bet of 5

  1. Bet 5 on red. It loses. You are 5 down.
  2. Bet 10. It loses. You are 15 down.
  3. Bet 20. It loses. You are 35 down.
  4. Bet 40. It wins, returning 80. You are 5 ahead, having staked 75 to get there.

What our simulation shows

We ran 100,000 sessions of this system against a fair single zero wheel, each session lasting up to 100 spins, starting with 500 virtual points and a base bet of 5. Those are the same defaults the app's Lab starts with. A session ends early if the bankroll can no longer cover the next required bet.

Martingale: 100,000 simulated sessions of 100 spins, starting with 500 points and a base bet of 5.
Sessions simulated100,000
Sessions that finished ahead49.2%
Sessions that finished level0.0%
Sessions that finished behind50.8%
Sessions that ran out of money50.1%
Average result per session-31.1 points
Typical (median) result-185 points
Average total staked in a session1,159.7 points
Loss predicted by the house edge31.3 points
Best session seen+350 points
Worst session seen-500 points
Average longest run of losing spins5.5
Longest run of losing spins seen7
How Martingale sessions ended Distribution of final results across 100,000 simulated sessions of Martingale. Green bars are sessions that finished ahead, red bars finished behind. 49.2% finished ahead, 50.1% ran out of money, and the average result was -31.1 points. 0 -500 -50 +400 50.1% of sessions ran out of money session result in points
How 100,000 simulated sessions ended. Green finished ahead, red finished behind; the average result was -31.1 points.
Two real example sessions of Martingale Balance over the rounds of two real simulated sessions of Martingale, starting from 500 points. The green session finished at +245 points. The red session finished at -275 points after running out of money. 500 +245 -275 out of money round 0 round 100
Two real simulated sessions, picked as the typical winning and typical losing case: the green session ended +245 points, the red one -275 points when it could no longer cover the next bet.

Read that table slowly. The share of sessions finishing ahead is often the number that sells a system, and on its own it is misleading: what matters is the average result, which includes the sessions that went badly.

Why this system cannot overcome the house edge

A single zero wheel has 37 pockets. An even money bet such as red wins on 18 of them and loses on 19, so every point you stake returns 36 of 37 points on average. That is a loss of 2.7027% of everything staked, and it applies to every single bet no matter what size it is or what order the bets come in.

Our simulation shows this directly. Across 100,000 sessions this system staked an average of 1,159.7 points per session. Applying the edge to that amount predicts a loss of 31.3 points. The simulation actually produced an average of -31.1 points.

The staking pattern changed how the wins and losses were spread out. It did not change the total. That is the whole story of every betting system: they move risk around, and nothing more.

Strengths and weaknesses

Strengths

  • It wins a large share of short sessions, which is exactly why it feels convincing.
  • The rule is simple to follow and needs no notes or counting.

Weaknesses

  • The stake doubles frighteningly fast: eight losses in a row from a stake of 5 needs 1,280 on the next bet.
  • A single long losing run takes back a long series of small wins and then some.
  • Table maximums and a finite bankroll both cut the progression off exactly when you need it to continue.

Who it might suit

The Martingale suits players who enjoy a high chance of finishing a short session slightly ahead and who fully accept that the rare losing session is very large. It is a way of reshaping the distribution of results, not of improving them.

Common questions

Does the Martingale system actually work?

It works exactly as described until the bankroll or the table limit stops the doubling, and then it fails badly. In our 100,000 session simulation the bankroll was wiped out often enough to more than cancel every small win, leaving an average loss in line with the house edge.

What happens if I have an unlimited bankroll?

No real table offers an unlimited bankroll or an unlimited maximum bet, so the question stays theoretical. With real limits, the doubling is always cut off at some point, and that is where the accumulated losses land.

How many losses in a row should I expect?

Our simulation recorded the longest run of losing spins in every session. See the numbers below: long runs are far more common than most players expect over only 100 spins.

Test it yourself

Open the Lab in the app with Martingale already selected, set your own budget, base bet, and number of rounds, and watch it play out spin by spin with virtual points.

Test Martingale in the app Compare all strategies

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