MISCONCEPTION : If you give a monkey a typewriter it will mash the keys randomly, and it is possible that it could spell a word. So if you got infinite monkeys at infinite typewriters you would eventually get one which would type out a play by Shakespeare, or for that matter any piece of literature that has, or will ever be. Just because there are so many monkeys.
TRUTH : This makes sense, but unfortunately it doesn’t work. The reason… monkeys are lazy and too smart. They have evolved to look for patterns, a good trait for surviving in the wild but not so good for typewriting because they type a bit, choose a pattern then repeat it over and over again, meaning that monkeys can’t produce the works of Shakespeare, no matter how many monkeys you have. not even infinite monkeys are enough, it is impossible.
In fact a team at the University of Plymouth attempted this, they put a computer in an enclosure with six standard macaque monkeys and left the computer there for six months. At the end they looked at what had been typed, and found the monkeys pattern. In six months the six monkeys had managed to write a total of five pages of text. The text consisting of almost nothing but the letter ‘s’ over and over again. Showing that, as previously suggested, the monkeys just found a pattern and stuck to it, in this case they liked ‘s’.
Also the computer was rather severely damaged by the monkeys. But that is beside the point.