Is the stats major right here?
Infinity makes it infinitely probable does in not?
Because it is for the most part. Up until fairly recently very few people went to university.
I was always wondering about this:
The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare.
If that is true then why dont we use monkeys to write awesome storys?
First of all, it's a physics problem, not a math problem, because before everything would be reduced to almost nothing in the universe before even a minuscule chance of it occurring. Not a 100% chance of it occurring eventually as Ricky says.
However, Karl makes a brilliant observation around 2:45 when he says "what's stopping the monkey from simply repeating something over and over forever?"
Karl is right though. What's stopping the monkey from forming a repeating sequence? The requirement that the typing be random?
If it's random, the odds of the experiment being forcibly stopped (say, by the sun encompassing the earth) far far outweigh the odds of Shakespeare being written.
"We've heard that a million monkeys at a million keyboards
could produce the complete works of Shakespeare;
now, thanks to the Internet, we know that it is not true."
– Robert Wilensky, UC Berkeley (1996)
Not a stats major but if you give the monkeys a keyboard with the alphabet and common that's 35 characters.
Romeo and Juliet has 83,223 words and the average word is 5.1 char or 6.1 if you include spaces, so you have 507880 characters
If the monkey is random then the chance of it typing romeo and juliet in (1/35)^507880 which is 5.26787E-784202 extremely small. Lets call this number P, 1-P is the probability that it doesn't happen. So the probability that it has happened after N tries is (1-P)^N.
But since N is infinity in this case and (1-P)<0 the probability that it doesn't happen is 0.
Which coincidentally is also OP's chances of ever getting laid.
Moronic. Monkeys are machines, they aren't random generators, and they aren't magic. They create outputs depending on their state, and their inputs. There system will likely give a clustering of outputs.
Infinite monkeys do not have infinite states. The question is not meaningfully addressed through statistics. You need to reverse engineer the monkeys in questions and factor in their environment.
Any other answer is an answer from an idiot who isn't attempting to represent how the real world works.
I did that on his the other day, some mfalord pretended to be me and corrected me for myself
literally strangest act on 4chan to date.
anyways 100% agree with your statement, there's no conditions applied for how the monkeys will type randomly, and there is also no definition as to how shakespear would be 'written'.
If only the number of correct letters were to be given sequentially to one super computer looking for shakespear, then the answer is yes, an infinite number of monkeys would type shakespear instantly. But what is instantly if you have an infinite number of monkeys, did you just cherrypick the right answer or did the computer take *time* to compile the data? Remember, an infinite number of monkeys must take an infinite time to compile.
There is no answer because the mechanisms are paradoxical in nature, and there aren't enough real parameters to give decisive arguments, or, bad dialogue.
now there's an incidental paradox, if from A to infinite B must type on the keyboard, then what is the perameter of time and why would we think it needed to be infinite?