There is a though problem called the Million Monkey's Problem.
If you have an infinite number of monkeys and an infinite number of keyboards, will they eventually write Shakespeare?
So, a couple of computer guys, started thinking and programming a parallel process to figure out if it might really happen. The would breed thousands of generations of hypothetical monkeys a second and then choose which ones would be allow to perpetuate the species based solely on their ability to write Shakespeare.
Apparently, it takes about 80,000 generations of monkeys at thousands of monkey generations a second (there's 200 monkeys per generation) to get the opening line of Hamlet. So that's ~16,000,000 monkeys just to get this much text. As they say, that's a lot of monkeys.
If you wanna read all the technical stuff, you can find it here.
By the way, no monkeys were harmed in the experiment.