[antiRepublicrat]

Now that you've read that article on infinity, you see how the odds come down. If your odds are 50^500,000,000, they are still within the set of infinity because for every number N there exists a number (N+1). This will eventually add up to the point that the probability of any occurrence (e.g., the astronimical odds of Shakespeare's works being recreated) will equal N. In that case, there will be an N+1 and now we are in favorable odds for that occurrence.

[Gamecock]

But what you are not aknowledging is the fact that an error causes a restart. Each restart causes the counter to begin at the original probability. Read again. Each missfire by a chimp restarts the works. Just like DNA, it has to be perfect on each attempt.

Also, we are not at infinity. We are 0 plus some unkown number of years, so that in itself makes your assertation void.