Using monkeys, it would not work.
We're talking theory here. People are getting bogged down in the behavior of monkeys etc. If there were a such thing as a true random character generator, over the course of infinity it would type every possible combination of characters. That includes Hamlet and every other text that ever existed, including this conversation.
we have had another poster discuss that already like 5 pages back. and we talked about it. got it out of the way.
even given infinite time, it does not HAVE to happen, let alone with only 1000 monkeys. lei explained it a while back there.
as you said: "If things are entered randomly there is a nonzero chance that typing X could happen"
so using that, it is possible for one of the monkeys to type "a" repeatedly forever given it is random. it is also possible for another one of the 1000 monkeys to type "b" forever. and so on. therefore, nothing HAS to occur. even with infinite time. let alone writing a multi thousand character play absolutely perfect...
I guess that's where the terminology "almost certainly" in the theorem comes from. I guess you have to allow for the possibility of a truly random character generator typing the same character for eternity or otherwise skirting the laws of probability and not typing this particular set of random characters....and you think typing "Hamlet" is a long shot? But almost certainly it would not only type the text, but type it an infinite number of times
...as far as a statistician not being an expert on this subject, here's my brother-in-law's response:
"It is more appropriately, in my opinion, the interaction between
probability and philosophy. Statistics and probability are very much
linked, but they do differ in scope and problems. It is certainly
related to statistics though. Statistics describes data and/or makes
inferences about the population given sample data."
Didn't I say I was done arguing about this? OK damn it, this time I mean it.:yelrotflmao: