🎰Gambler's Ruin Calculator
e.g. 0.49
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.
💡
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.
🔒
100% 無料
登録不要
✓
正確
検証済み数式
⚡
即座
即座に結果を表示
📱
モバイル対応
全デバイス対応