Grand Martingale roulette strategy tested over 100,000 sessions
The Grand Martingale doubles and adds an extra unit after every loss. We simulated 100,000 sessions on a single zero wheel to show how much faster it escalates and how often it empties the bankroll.
At a glance, from 100,000 simulated sessions
- Finished ahead
- 32.9%
- Ran out of points
- 66.8%
- Average result
- -38.4 points
What it is and how it works
The Grand Martingale is the Martingale with the volume turned up. After a loss you double the stake and then add one more base unit on top, so a winning round recovers the run and returns more than a single unit of profit.
Every criticism of the Martingale applies here, only sooner, because the stake climbs more steeply.
A simple example at a base bet of 5
- Bet 5 on red. It loses.
- Bet 15 (double the 5, plus 5). It loses.
- Bet 35 (double the 15, plus 5). It loses.
- Bet 75. It wins, returning 150. You are 20 ahead, having staked 130 to get there.
The Martingale calculator works out the plain doubling for any bankroll, base bet, table limit and number of spins. The Grand Martingale's ladder climbs faster than the one it shows, because every step adds one more base bet on top of the doubling.
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 amounts the app's Strategy Simulator tab starts with; there a run has no round limit, and goes on until you stop it, the points set aside run out or the table refuses its next bet. A session here ends early if the bankroll can no longer cover the next required bet.
| Sessions simulated | 100,000 |
|---|---|
| Sessions that finished ahead | 32.9% |
| Sessions that finished level | 0.0% |
| Sessions that finished behind | 67.1% |
| Sessions that ran out of points | 66.8% |
| Average result per session | -38.4 points |
| Typical (median) result | -225 points |
| Average total staked in a session | 1,419.9 points |
| Loss predicted by the house edge | 38.4 points |
| Best session seen | +500 points |
| Worst session seen | -500 points |
| Average longest run of losing spins | 5.2 |
| Longest run of losing spins seen | 6 |
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 1,419.9 points per session. Applying the edge to that amount predicts a loss of 38.4 points. The simulation actually produced an average of -38.4 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
- A winning round returns more profit than the plain Martingale does.
- It reaches a target profit in fewer winning rounds.
Weaknesses
- The stake grows faster than the plain Martingale, so the bankroll runs out sooner.
- The extra unit makes each recovery bet larger without making a win any more likely.
Who it might suit
This suits a player who already understands the Martingale trade and wants the same shape of outcome compressed into a shorter session. It is the most aggressive of the doubling family and should be treated as such.
Common questions
Is the Grand Martingale better than the Martingale?
It returns more when a recovery lands and it empties the bankroll more often. In our simulations it busted more sessions than the plain Martingale and finished with a larger average loss, because it stakes more in total.
Why does adding one unit make such a difference?
The extra unit compounds along with the doubling, so after only a few losses the required bet is far larger than the plain Martingale would need. That brings the bankroll limit forward.
Test it yourself
Open the Strategy Simulator tab in the app with Grand Martingale already selected and watch it play on the live table with virtual points: its chips on the felt, the wheel spinning, its points rising or falling round by round.
The app's cards measure every system on the spins your own table has dealt, with a larger budget and longer sessions, so their figures will not match this page. The edge is the same in both.