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It should be noted that this duration is considerably longer than we naively expect. If two players with 500 dollars each toss a coin until one is ruined, the average duration of the game is 250,000 trials. If a gambler has only one dollar and his adversary has 1000, the average duration is 1000 trials.

— William Feller

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More quotes by William Feller

Much harm was done by the misleading suggestive power of this name. It must be understood that a fair game may be distinctly unfavorable to the player.

" three repairman per twenty machines are much more economical than one repairman per six machines."

When a coin is tossed, it does not necessarily fall heads or tails; it can roll away or stand on its edge.

Infinite product spaces are the natural habitat of probability theory.

The manner in which mathematical theories are applied does not depend on preconceived ideas; it is a purposeful technique depending on, and changing with, experience.

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Quote text and notes from Wikiquote: William Feller (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.