Martingale Strategy Calculator and Simulator

The martingale strategy says to double your bet after every loss, so that the first win recovers everything and adds one base bet of profit. This calculator shows the two things that decide whether it works for you: the exact losing streak that ends your bankroll, and what happens across thousands of simulated sessions with your own bankroll, odds and table limit.

What the martingale strategy is

Martingale is a betting system for even-money bets such as red or black, heads or tails, or a 50% dice roll. You start with a base bet. After a loss you double it; after a win you go back to the base bet. As long as a win eventually comes, it pays back the whole losing streak plus one base bet.

That is why it feels like it works. Most sessions end with a small profit, and on a chart the bankroll climbs steadily. The simulator's histogram shows the same thing: a tall block of sessions just above the starting bankroll.

Why the martingale system fails

Doubling grows fast. With a bankroll of 1,000 and a base bet of 10, the bets go 10, 20, 40, 80, 160, 320. That is 630 lost after six losses, and the seventh bet of 640 cannot be placed. Seven losses in a row on a 50% bet happens 1 time in 128 from a fresh start, which sounds rare. Over 200 bets, the chance of meeting that streak at least once is 54.4%, and on single-zero roulette it is 60.4%. Gift Club's own single-zero roulette pays decimal multiples, and no progression on it beats the RTP of its best bet.

Two limits stop the progression, and the calculator models both:

• The bankroll. When the next bet is larger than what you have left, you can only bet what remains, and the losing streak is not recovered.
• The table limit. Casinos cap the largest bet. Once doubling hits the cap, one win no longer pays back the streak.

Martingale does not change the house edge. It rearranges the same losses into many small wins and a few very large losses. On any bet with an edge, the average session still loses about the edge times everything you wagered, which is the "expected cost" figure in the results.

The payout problem

Doubling only recovers a streak when a win pays at least 2× your stake. Many games pay less. Gift Club's Coin Flip pays 1.90×, and at that price doubling leaves you behind after a long enough streak even when you win. To recover every streak you would have to multiply by at least 2.11 after each loss, which makes the bets grow faster still. The simulator warns you when a setting has this problem.

How to read the results

• Went bust is the share of sessions that ran out of money.
• Finished ahead is usually high, and that is the trap: it is paid for by the busts.
• Average result is what one session is worth on average. On a fair bet it hovers around zero; with any edge it is negative.
• The losing streak table is exact, not simulated. It shows each bet in the progression, the total lost so far, and the chance of reaching that step.

Each run uses a fixed seed so you can repeat it; press "Run with a new seed" to see how much sessions vary. The feeling that a win is "due" after a losing streak is the gambler's fallacy, and no progression gets around it.

Martingale variations

The reverse martingale (also called Paroli) doubles after wins instead of losses, so a losing streak costs only base bets while a winning streak compounds. Grand martingale adds an extra base bet at each step. Setting the loss multiplier in the calculator to 1.5 or 3 shows how gentler or steeper progressions change the bust rate. None of them change the edge.

Frequently asked questions