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    Betting Systems — Martingale and All the Rest

    Every gambler runs into the promise: 'a system that beats roulette.' The idea is always similar — change your bet size based on previous results to cover losses. The problem is the math doesn't work that way: changing bet size doesn't change the house edge, while the table limit and your finite bankroll do limit you. This page breaks down the main systems and shows exactly where they fail.

    • Martingale — doubling after every loss
    • Why an 8-loss streak isn't rare
    • D'Alembert, Fibonacci, Labouchère, Paroli
    • What actually improves long-term results
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    The Martingale math

    Start with 10₪ on red. Lose — 20, lose — 40, and so on. One win covers everything and nets 10₪.

    But: after 8 straight losses, the ninth bet is 2,560₪, and total losses so far are 2,550₪ — all to earn 10. The probability of such a streak on European roulette is about 1 in 172 — rare, but not impossible, and every table has a limit that will stop you right there.

    The other systems

    • D'Alembert — increase/decrease by one unit. Same flaw, slower
    • Fibonacci — increase following a sequence. Less risk, less return
    • Labouchère — a target list to cross off. More complex, doesn't change expected value
    • Paroli — doubling on wins (Anti-Martingale). Protects your bankroll but doesn't turn a profit

    The mathematical principle

    Expected loss equals total amount wagered times the house edge. Changing the order and size of your bets only changes the shape of the curve — how big the swings are — not the direction. There's no sequence of moves on a negative-expectation game that turns it positive.

    What actually works

    Only two things: choose games with a low house edge, and play less. And above all — switch to a game where expectation can be positive: poker. There, bet sizing is genuinely part of strategy (ranges, EV, bankroll management).

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