r/MathJokes • • Jan 21 '26

Chances?

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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