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Martingale Calculator

See how fast the doubling progression eats your bankroll.

Doublings your bankroll survives
6
Total risked to win one base unit
630 ₽
Chance of a losing streak that ruins you
1.84 %
per full attempt
RoundBetCumulative loss if you lose
110 ₽10 ₽
220 ₽30 ₽
340 ₽70 ₽
480 ₽150 ₽
5160 ₽310 ₽
6320 ₽630 ₽

How it works

Martingale wins small amounts often and loses everything rarely. The rare loss wipes out all the small wins — expected value stays negative. Table limits and finite bankrolls guarantee it.

A single losing streak longer than the bankroll can absorb is enough to lose everything. The smaller the base stake relative to the bankroll, the more rounds you survive — but the longer the risk accumulates.

Sₙ = S₀ · 2ⁿ⁻¹

Martingale Calculator

The Martingale system tells you to double your bet after every loss so that one win recovers everything plus one base unit. This Martingale calculator shows the brutal arithmetic behind it: how many doublings your bankroll can actually survive, the total you risk to win a single unit, and your real probability of ruin.

How the Martingale system works

Start with a base bet on an even-money outcome. Every time you lose, you double the next bet. The moment you win, you recover all previous losses and profit by exactly one base unit, then start over.

It feels unbeatable because you win small amounts most of the time. The problem is what happens during the rare losing streak.

Why Martingale fails over time

Bets grow exponentially: 10, 20, 40, 80, 160… A streak of just 7–8 losses can require thousands of units. Table limits and a finite bankroll guarantee that sooner or later you hit a wall you cannot double past.

That single catastrophic loss wipes out hundreds of small wins. The expected value never changes — it stays negative on every game with a house edge.

How to read the results

Enter your base bet, bankroll, and the win probability per round (48.6% for European roulette red/black, about 50% for a coin flip). The calculator shows the maximum doublings you can survive, the total at risk, and the chance of a ruinous losing streak on each attempt.

FAQ
Does the Martingale strategy work?expand_more

Not in the long run. It produces many small wins and rare huge losses; the math keeps expected value negative on any game with a house edge.

What win probability should I enter?expand_more

Use the real odds of your bet: 48.6% for European roulette even-money bets, 47.4% for American roulette, or ~50% for a fair coin.

What is risk of ruin?expand_more

The probability that a losing streak empties your bankroll (or hits the table limit) before you can recover. The calculator estimates it from your inputs.

Can a bigger bankroll make Martingale safe?expand_more

It only delays the inevitable. A larger bankroll survives more doublings, but the exponential growth and table limits still guarantee eventual ruin.

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