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.


Chapter XIV, Random Walk And Ruin Problems, p. 349. - An Introduction To Probability Theory And Its Applications (Third Edition)

William Feller Quotes

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...

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...

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...

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...