This reminds me of the infinite monkey theorem—in great measure because I'm just writing a piece where I use it but anyway—a bunch of monkeys with infinite time hitting keys at random on a typewriter will eventually write an exact copy of Hamlet.

Which sort of makes the point that persistence and time are the only two things we need.

Until we calculate those odds and find out that yes, those monkeys can write Hamlet, but the chances are so tiny that even if a period of hundreds of thousands of orders of magnitude longer than the age of the universe elapsed, it would still be extremely low.

In short, great points made here Nathan.