Games and odds · free tool

Martingale strategy: what the maths says

How much money the doubling plan needs, how often it breaks and what a cycle costs on average, worked out exactly.

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More settings: a fee and a biggest bet
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These starting figures are an illustration, not any platform’s rules. Replace them with the odds, payout and fee your own game states. A payout of 2 means even money (a win returns twice the stake). Bets are shown unrounded; if your app takes whole rupees only, round each bet up, which makes the totals slightly bigger.

6losses in a row ₹10,000 covers
₹6,300lost if the plan breaks
₹100gained when the first bet wins
−₹12.62average result of one cycle (exact)
58.4%chance of at least one break in 100 rounds
80rounds until the first break: half of plans break sooner
−₹425.28average result over 100 rounds (exact)
1.76%chance one cycle ends in a break

With a ₹100 first bet and doubling the bet after every loss, ₹10,000 covers 6 losses in a row. The next bet, ₹6,400, would be more than the ₹3,700 left. At a 49% win chance and a 2× payout the game keeps 2.00% of every rupee staked, so a cycle breaks 1.76% of the time and the exact average result of a cycle is −₹12.62.

The bet ladder: what each bet stakes, and what a win on it nets
BetAmountTotal staked so farA win on this bet netsChance of getting this far
1₹100₹100+₹100100%
2₹200₹300+₹10051.0%
3₹400₹700+₹10026.0%
4₹800₹1,500+₹10013.3%
5₹1,600₹3,100+₹1006.77%
6₹3,200₹6,300+₹1003.45%

Try the plan with pretend money

Pretend sessions play the plan round by round with random numbers from your browser and the figures above. There is no money in it, and it is not any app’s game. Each press gives different results; the exact figures above never change.

A martingale is a plan, not a game: bet a fixed first amount, double the bet after each loss, go back to the first amount after a win. Each cycle ends in a small win or in a break that loses the whole ladder. The calculator shows how often each happens.

Try your own figures. At a 49% win chance and a 2× payout, a break within 100 rounds has a chance of 58.4%, and half of all plans have broken by round 80.

Change the first bet, the multiplier or the money set aside above and every number updates. Use the figures your own game states.

Common questions

Does the martingale strategy always get my losses back?

No. It gets them back only if a win arrives before the money or the biggest bet allowed runs out. When the ladder runs out, the plan breaks and every bet in it is lost. The calculator shows how often that happens over the rounds you plan to play.

How much money does the martingale strategy need?

About double for every extra loss you want to cover. Ten losses in a row from a ₹100 first bet stake ₹1,02,300 in all, and twelve stake ₹4,09,500. Nobody can keep doubling forever, so every real plan has a ladder that ends.

Why is the average result negative if most cycles win?

The rare break costs far more than a typical win gains. The average adds the two together, and it equals minus the game’s edge times the money staked. Because doubling stakes more money per cycle, the plan loses more on average than flat bets of the same first size.

How do I decide how much money to set aside for a session?

Decide the amount you can afford to lose before you start and treat it as already spent. This plan can lose everything in its ladder, so the money set aside is the real price of the plan, not a safety net behind it.

Does the calculator predict the next win?

No. It counts how often runs of losses of a given length turn up over many rounds. It cannot say when the next win comes, because each round is a fresh random draw that earlier rounds do not change.

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