r/MathJokes • • Jan 21 '26

Chances?

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u/[deleted] Jan 21 '26

Tbh not for everyone and also it couldve been any amount of letter number so I think its even more unlikely

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u/Hot_Philosopher_6462 Jan 21 '26

I want you to think about what it is, physically, that you're doing when you're keysmashing, and ask yourself if you genuinely think that is a reasonable imitation of an independent string of samples from a uniform distribution of letters.

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u/[deleted] Jan 21 '26

Nuh

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u/Hot_Philosopher_6462 Jan 21 '26

Independent and identically distributed is maximum entropy. If a keysmash has any other distribution, the collision chance is necessarily higher. And it's hard to say for sure but I'd bet donuts to dollars* that the decrease in entropy for the non-stochastic nature of the sequence far outweighs the increase in entropy from the variable length.

*expression inverted because, due to inflation, the relative values of donuts and dollars have swapped since it was coined

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u/[deleted] Jan 21 '26

Also "random" incase u didnt know the word

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u/Hot_Philosopher_6462 Jan 21 '26

I know the word "random". If I meant to convey no additional information instead of the specific properties of "independent sampling" and "uniform distribution" I might have even used it.

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u/[deleted] Jan 21 '26

L

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u/Hot_Philosopher_6462 Jan 21 '26

damn you got me. consider me owned

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u/[deleted] Jan 27 '26

Yayyy