this post was submitted on 08 Dec 2024
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no. you don't understand infinity, and you don't understand probability.
if every keystroke is just as likely as any other keystroke, then each of them will be pressed an infinite number of times. that's what just as likely means. that's how random works.
if the monkey could press a for an eternity, then by definition it's not as likely as any other keystroke. you're again changing the parameters to a monkey whose probability of pressing a is 1 and every other key is 0. that's what you're saying means.
for a monkey that presses the keys randomly, which means the probability of each key is equal, every string of characters will be typed. you can find the letter a typed a million times consecutively, and a billion times and a quadrillion times. not only will you find any number of consecutive keystrokes of every letter, but you will find it repeated an infinite number of times throughout.
being infinite does guarantee every possible outcome. what you're ruling out from infinity is literally impossible by definition.