🎰Gambler's Ruin Calculator
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The Gambler's Ruin problem asks: starting with k units, betting 1 unit per round with win probability p, what is the probability of reaching target N before going bankrupt? The answer reveals that even with a small house edge, the gambler is almost certain to be ruined eventually — a mathematical proof of why gambling systems cannot overcome negative expected value.
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Tip: The lesson of Gambler's Ruin: the larger your target relative to your bankroll, and the worse your per-bet edge, the more certain your ruin. No betting system (Martingale, Fibonacci, etc.) can change the underlying mathematics.
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