Probability Limits

They say that if a monkey could type randomly on a typewriter for infinity, it would eventually produce the entire works of Shakespeare by sheer chance. But some day we will discover that this is not true at all.
I cannot yet say how I know this, but I can “see” it plainly via intuition. There exist in nature a kind of probability limit, where the extremely improbable becomes factually impossible.
This limit is already indicated by well known “laws” in science, such as the law of dispersion. If you put a drop of red dye in a cup of water, in a short period of time it will become evenly dispersed in the water. This dispersion occures as a result of the random motion of the dye molecules. If there were no probability limit then it would be possible, though extremely improbable, for the dye to randomly concentrate back into a single drop while it is still in the water.
Is this improbable or impossible? To give you an idea of the improbability of this occuring, the odds would be exactly the same for the red dye to “randomly” form a perfect three dimensional rendering of the Seattle Space Needle.
The significance of the probabilitylimit is that if it exists, then nothing in the universe is random. Randomness requires that there be no limit to the possible permutations of a given set out variables. If there is a limit, no matter how high the limit is, then the result is not random at all; it is determined!

But determined by what? Now that is the question that is impossible for rational science to answer. So science demands that the universe be undetermined, and that monkeys can, given enough time, randomly produce works of art. How silly is that?