Actually with an infinite number of monkeys it should take
only as long as it takes one monkey to type that volume of
gibberish. That is because in that timeframe, out of all
of the monkeys, an infinite number will have accidentally
come out with the perfect Shakespeare.
Of course figuring out which monkey(s) did it may take a while. :-)
EDIT
An incidental note. An infinite number of chessplayers
playing each other at once are rather less likely to come
up with the perfect chess game than an infinite number
of monkeys trying to play chess. Why? Because humans
will attempt to apply their theories and consistently
make certain types of mistakes.
So you see, a little knowledge is a dangerous thing. :-)
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