Yet again, it seems some people are confusing extremely low chance, with impossibility.
No. Some people misunderstand the limits of probability.
For instance, the common misconception that a million monkeys on a million keyboards for a million years would at some point produce the works of Shakespeare is pure rubbish. They might possibly produce in the process a couple of lines - if you don't count for line breaks or capitalization or punctuation. Random entries will not produce specific results.
You can get the 2700 player flying drunk and distract him with two lovely ladies, and he will still beat the 1300 player 100% of the time.
Statistics may provide a theoretical possibility which is infinitesimal, but that doesn't mean there is any practical chance it will occur. It's not a random matter, there is skill involved.
How do you define "practical chance?" Does it mean any odds greater than one in a million or something? I'm not sure about the precise distinction you're making between the theoretical chance and the practical chance. If you mean practical in terms of, can I ever expect it to happen in my lifetime, then I of course agree with you.
Here's the thing: let's assume that every precise keystroke that would produce Shakespeare isn't impossible for a monkey to hit (it doesn't matter if this is true or not; the assumption is there just to make a point), and thus, all you need is a lot of time for everything to align and for it to actually happen.
For example, let's even take the above paragraph I wrote. I don't think there is some physical force that keeps the monkey from typing in "Here's, space, the, space, thing, colon." Even the colon could possibly be hit -- I don't think there is a physical force making it impossible to hit two keys at approximately the same time. It's just that there are so many other possibilities, so it would be very hard for all of these possible things to align themselves so precisely, and yet there is nothing that really restricts it as one possibility out of infinite.
I would most certainly think it would take more than a million years for the monkeys to type Shakespeare. Ten to the 350th power is probably closer to the mark -- but it doesn't matter. That will eventually happen in infinity, too. If you had that many years to wait, you could expect it to happen, and with infinity, you do have that.
...