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It's just the most 100 recently saved songs. The fuck.
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But then it is not truly random, that is the point.
The same song 10 times in a row also has a chance of happening in a truly random list.
Random pick without replacement is no less random than random pick with replacement. You just have a continuously smaller pool to pick from.
It's absolutely possible to have better randomness/shuffle without repeating songs so often.
there exist other random distributions than the uniform distribution
You’re thinking of a random sequence. We’re talking about shuffling according to a random seed.