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For a related fascinating conundrum in sampling lines inside a circle, see Bertrand's paradox: https://en.wikipedia.org/wiki/Bertrand_paradox_(probability) http

• bananabiscuit 4y ago
  I think it’s interesting that the article mentions some mathematicians still consider the paradox as unresolved. In my opinion all this paradox is, is an under-specified problem. We don’t, after all, consider a question like “what is the length of the third side of a triangle with 2 sides of length 5?” To be a paradox.
  • CaptainNegative 4y ago
    > I think it’s interesting that the article mentions some mathematicians still consider the paradox as unresolved. I think the only citation there is of a philosophy guy, which is a field well-known for raising fundamentally irrelevant points.