this post was submitted on 23 Jan 2024
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Showerthoughts
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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
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No. The probability of picking any particular number from a uniform distribution is 0.
On the contrary, since the works of Shakespeare are a finite string over a finite alphabet (I can formalize this argument if you want), the probability of typing them out after some fixed large number of keystrokes is some nonzero number ๐. With ๐ monkeys, the probability that at least one will type out the works is 1 โ (1 โ ๐)โฟ, which goes to 1 as ๐ โ โ.
Now, you are right that this does not mean that the works are guaranteed to be typed out. However, it has probability 1, so itโs mathematically โalmost certainโ.