Ancestors

Written by Garrett Wollman on 2024-12-12 at 22:54

Combinatorics/probability problem: what's the probability that a uniform random shuffle of a music library will place two songs by the same artist consecutively, as a function of the number of songs by each? At what density is this overwhelmingly likely to happen for the most common artist in the library?

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Toot

Written by Garrett Wollman on 2024-12-12 at 22:57

(I don't know the answer to this, but I probably could have figured it out in college, when the idea of shuffling a music library was not really credible since the biggest CD changer you could buy only held like 6 discs.)

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Descendants