# What happens to the infinite monkey theorem when there are an infinite number of keys on the typewriter?

What happens to the infinite monkey theorem when there are an infinite number of keys on the typewriter? So what is the probability of a finite string of keys like the works of Shakespeare being typed up. Thanks for any insights.

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What is the cardinality of the set of monkeys? The set of keys? –  Potato May 26 '13 at 1:40