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Random Walks 1 Gambler’s Ruin

Random Walks 1 Gambler’s Ruin

web.mit.edu

Before we can conclude this, though, we need to rule out one other possibility, namely, the possibility that we play forever. Indeed, it is possible that you can play forever with-out winning the required amount and without going broke. In fact, it turns out that the probability that you never end is 0 even for unbiased games!

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