Imagine you have $k$ dollars in your pocket and you are gambling with a wealthy man (with infinitely much money). The rule is repeatedly tossing a coin and you win $\$1$ if it's a head, otherwise you lose $\$1$. Now, what's the probability that you get broke eventually?
What's the probability of losing a coin tossing gambling with a wealthy man?
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probability
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2[Gambler's Ruin](http://en.wikipedia.org/wiki/Gambler%27s_ruin). – 2012-10-06
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0The probability is $1$. – 2012-10-06