However, a new peer-reviewed study led by Sydney-based researchers Stephen Woodcock and Jay Falletta has found that the time it would take for a typing monkey to replicate Shakespeare's plays, sonnets and poems would be longer than the lifespan of our universe.
Which means that while mathematically true, the theorem is "misleading", they say.
The time taken for "a" typing monkey? We have infinite monkeys! Why are we putting the entire burden on just one of them? One of them takes Hamlet, another takes King Lear, two of them collaborate to write Twelfth Night...
You have to realize, that with infinite time, if something has even the slightest chance of happening, it happens infinite times. So no, its not misleading, you have infinity for this to happen an infinite amount of times. Infinity breaks things.