random walk

Daniel Plays a Nearly Fair Game and Still Goes Broke: The Math of Ruin

Depiction of a roulette table, tense atmosphere, and a pair of hands playing at the table of a high stakes game. It is derived from gambler's ruin in finance.
Gambler's Ruin

Daniel sits down with 10 million against the casino’s 90 million and plays a nearly fair game—winning 49% of the time, losing 51%. Small edges and capital asymmetry policies quietly convert volatility into an almost certain blow‑up.

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