MARTINGALE STRATEGY SIMULATOR
Set your bankroll, base bet, win chance and table cap, then run a Monte Carlo simulation of the double-on-loss system and watch how often it busts. No fabrication β just the gambler's-ruin math.
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How your bet and your total amount risked grow with each consecutive loss, from your current base bet. This is why one bad streak ends the run.
| Losing Streak | Bet This Spin (2n Γ base) | Total Risked So Far | To Win Back | Chance of This Streak |
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How The Martingale Simulator Works
The Martingale is the most famous betting system in history, and the most seductive. The rule is trivial: pick a base bet, and every time you lose, double it; every time you win, reset to the base. Because a win recovers all prior losses in the streak plus one base unit of profit, a short session can feel like a money-printing machine. This simulator exists to show you what the marketing videos never do β what happens when the streak runs long. It plays out thousands of complete sessions using your exact inputs and counts how many survive and how many bust.
You give it five things: your starting bankroll, your base bet, your per-bet win chance, the maximum number of rounds you intend to play, and an optional table or bet cap. It then runs a Monte Carlo simulation β repeated random trials β of 10,000 independent sessions. Each session doubles on loss, resets on win, and is marked "busted" the instant a losing streak demands a bet larger than the bankroll left or larger than the table cap, because at that point you can no longer double to recover. The results update live every time you change an input. The whole point is to let you watch it bust.
Why The Bet Size Explodes
The fatal flaw of Martingale is exponential growth. After n consecutive losses your next bet is:
bet(n) = base Γ 2nExample: base = $1 β after 10 losses the bet is $1 Γ 2ΒΉβ° = $1,024
And the total you have risked across that losing streak is the sum of a geometric series, which is almost as brutal:
total risked = base Γ (2n+1 β 1)10 losses at a $1 base = $1 Γ (2ΒΉΒΉ β 1) = $2,047 staked to claw back $1 of profit
Read those two lines together and the trap is obvious. To protect a single base unit of profit you end up wagering thousands. A bankroll of $1,000 cannot survive ten straight losses at a $1 base β and ten straight losses, far from being a freak event, happen roughly once in every 900 sequence-starts at a 49.5% win rate. Over hundreds of rounds you will meet that streak. The table above shows the explosion for your current base bet so you can see exactly where your bankroll and your table cap run out.
The Gambler's Ruin Math
What Martingale really runs into is a classic result in probability theory called gambler's ruin. A gambler making repeated negative-expectation bets against an opponent with effectively unlimited funds β the casino β will, with probability approaching one, eventually go broke. The doubling strategy does not escape this; it simply changes the shape of the outcome. Instead of bleeding out slowly, you win small amounts most of the time and then lose your stack all at once.
The expected value of every individual bet is unchanged by the staking pattern, because each spin is independent and already carries the house edge:
EV per bet = β(house edge) Γ (amount staked)No order of bets, and no doubling rule, can turn a negative-EV bet positive.
This is the single most important fact about betting systems, and it is not a matter of opinion. Martingale, Fibonacci, D'Alembert, LabouchΓ¨re β every progression rearranges when you win and lose, but none of them changes the sum of many negative-EV bets. The expected value of the whole session stays negative and equal to the house edge times everything you wager. The simulator proves it: even when you set the win chance to a perfectly fair 50%, sessions still bust whenever a streak outruns the bankroll, and the average outcome only breaks even in the idealised no-edge, no-cap, infinite-bankroll case that does not exist in any real casino.
Reading Your Results
The results panel is designed to make the asymmetry impossible to miss. The bust rate is the share of the 10,000 sessions that wiped out. The median final bankroll often sits slightly above where you started β that is the seductive part, because the typical session really does end in a small profit. But look at the mean final bankroll: it lands below your starting figure, because the minority of busted sessions each lose almost everything and drag the average down. A median above start and a mean below it is the mathematical fingerprint of a losing proposition that "feels" like a winner.
The distribution bars split every session into three honest buckets: busted, survived-but-behind, and survived-and-ahead. Crank up the base bet relative to your bankroll, or add a table cap, and watch the red "busted" bar swell. The "largest single bet forced" figure shows the biggest stake any session was pushed to β frequently hundreds of times your base bet β and the "longest losing streak seen" reminds you that these streaks are not theoretical. To plan a bankroll that can actually absorb variance, pair this with our bankroll calculator; to see the same risk-of-ruin logic applied to a crash game, try the crash auto-cashout calculator.
Why The House Edge Always Wins
Every casino game is priced with a built-in mathematical advantage, the house edge, and it is the only number that determines your long-run cost. You can confirm the exact edge a game charges with our house edge calculator, which converts any RTP into the edge you actually pay. On a "fair-ish" even-money bet a 49.5% win chance corresponds to a 1% edge, on European roulette red/black it is 2.7%, and on American roulette it is 5.26%. Martingale cannot touch any of those numbers. Worse, because the strategy forces you to wager enormous sums to protect small profits, it actually increases your total amount staked, and since expected loss equals edge times amount staked, aggressive Martingale play tends to lose money faster than flat betting, not slower.
The casino's table limits are not an accident either. Maximum bet caps exist precisely so that no doubling system can run to infinity β they guarantee that a long enough losing streak will hit a wall the player cannot bet past. When you set a cap in the simulator and see the bust rate jump, you are seeing the casino's countermeasure working exactly as intended.
Using This Tool Responsibly
This simulator is not here to help you "do Martingale better" β there is no better; the math is fixed. It is here to dismantle the illusion before it costs you real money. If you take one thing from it, let it be this: a strategy that wins 95% of your sessions can still be a terrible bet, because the 5% that fail take almost everything. Treat any money you gamble as the price of entertainment, set a hard loss limit before you start, and never chase losses by doubling β that is Martingale, and you have just watched where it leads.
If gambling has stopped being fun, or you find yourself betting more than you can afford to lose, please step back and use the support resources on our responsible gambling page. And whenever you do play, verify that the game is honest first: a provably fair result proves the casino did not cheat you, even though it can never change the odds in your favour.
Inputs & outputs at a glance
- Starting bankroll β how much you can lose before you are ruined. The larger it is relative to your base bet, the longer a streak you can survive.
- Base bet β the unit you reset to after a win. A big base bet relative to bankroll busts fast; a tiny one buys survival time but wins only pennies.
- Win chance / house edge β sets the odds of each bet. Below 50% (any real game) the long-run EV is negative and bust is a matter of time.
- Max rounds β more rounds means more chances to hit the killer streak, so the bust rate rises with session length.
- Table / bet cap β the doubling wall. Adding a cap sharply raises the bust rate because you can no longer recover once a streak passes it.