Martingale calculator: find the point where doubling your stake stops
The Martingale is a betting system that doubles the stake after every loss so that a single win recovers everything. The catch is that doubling hits the table limit or your budget fast: start at RM 10 and the seventh bet is already RM 640. This calculator shows how many losses in a row you can cover, what you lose when that run arrives and how often it happens.
Formulas checked · SlotKaki calculator team
Starting stake and table maximum set the ceiling
Enter your first bet, the amount you are prepared to lose in this session and the table maximum. Table limits differ by game and are shown at the table itself. The defaults are an example: RM 10, a RM 2,000 budget and a RM 500 table maximum.
The default win chance of 48.6% is red on European roulette: 18 of the 37 pockets, because zero is neither red nor black. For Banker in baccarat or any other bet, enter the chance for that bet.
| Step | Stake | Total staked so far | Profit if this step wins |
|---|---|---|---|
| 1 | RM 10 | RM 10 | RM 10 |
| 2 | RM 20 | RM 30 | RM 10 |
| 3 | RM 40 | RM 70 | RM 10 |
| 4 | RM 80 | RM 150 | RM 10 |
| 5 | RM 160 | RM 310 | RM 10 |
| 6 | RM 320 | RM 630 | RM 10 |
| 7 | RM 640 | RM 1,270 | RM 10 |
| 8 | RM 1,280 | RM 2,550 | RM 10 |
The last column is the whole problem. However large the bet gets, a win still brings back only RM 10.
How many losses in a row before the money runs out
| Result | Formula |
|---|---|
| Stake at step k | b × 2^(k − 1) |
| Total lost after k losses | b × (2^k − 1) |
| Most losses you can cover | largest k with b × (2^k − 1) ≤ budget and b × 2^(k − 1) ≤ table max |
Worked example: with b = RM 10, six steps need RM 630 in total and the sixth stake is RM 320. A seventh step needs RM 640. The RM 2,000 budget could pay for it (RM 1,270 in total), but the RM 500 table maximum blocks it. So six straight losses wipe out RM 630 and the system cannot continue.
How likely a losing run is over many rounds
Six losses in a row looks rare on a single attempt: 0.514 to the power of 6 is 1.84%. Over 100 rounds, though, that run gets many chances to start. The calculator tracks the length of the current losing run in every round (a short dynamic programme) and returns the exact chance that the run happens at least once.
| Losses in a row | In 50 rounds | In 100 rounds | In 500 rounds |
|---|---|---|---|
| 5 | 59.64% | 84.70% | 99.99% |
| 6 | 35.42% | 59.91% | 99.12% |
| 7 | 19.31% | 36.44% | 90.59% |
| 8 | 10.08% | 20.32% | 69.70% |
| 10 | 2.61% | 5.63% | 26.64% |
All figures use a 48.6% win chance per round. In our example, a run of six losses has a 59.91% chance of appearing within 100 rounds. At around 40 spins an hour on a live table, that is about two and a half hours of play.
Why doubling the stake leaves the house edge untouched
Every spin of European roulette carries a 2.70% house edge, whatever you stake and whatever came before. The Martingale only changes the shape of the results: lots of small RM 10 wins, broken by a large loss that is rare but arrives sooner or later.
Take one cycle capped at six steps: a 98.16% chance of winning RM 10 and a 1.84% chance of losing RM 630. The average is 0.98156 × 10 − 0.01844 × 630, or about −RM 1.80 per cycle. One full loss erases the profit of 63 successful cycles.
The wheel has no memory. After five blacks in a row, the chance of red on the next spin is still 48.6%; believing red is "due" is the gambler's fallacy. The house edge calculator shows what any game costs per hour.
What the result means for your budget
This tool exists to show why doubling systems fail, not to help you run one. If the result makes you uneasy, that is the right reaction.
- Decide how much you can afford to lose before you play, using the monthly entertainment budget planner.
- Stick to a flat stake. Raising the bet after a loss is a form of chasing losses.
- If you often double up to "win it back", read the responsible gaming guide or call Talian Kasih on 15999.
Frequently asked questions
Does the Martingale system work in roulette?
Not over the long run. The Martingale produces many small wins but eventually meets a losing run longer than the budget or the table limit allows. The 2.70% house edge on European roulette applies to every spin, so the average loss stays the same however the stakes are arranged.
How much money do you need for the Martingale?
To cover k losses in a row from a starting stake b, you need b × (2^k − 1). From RM 10, seven losses need RM 1,270 and ten losses need RM 10,230. A bigger bankroll only makes the full loss rarer, and it makes that loss bigger.
Why does the table limit stop a doubling system?
The table limit caps the stake on a single round. Starting at RM 10 with a RM 500 limit, the seventh bet of RM 640 is not allowed, so after six straight losses the system stops with RM 630 lost, even if you still have money left.
Set your limits before you sit down Choose a flat stake and a loss limit for the session. Deposit limits, time reminders and cooling-off can be set in your account or through customer support.
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