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Sorry, you're skirting a ton of paradoxes in probability theory. This looks reasonable but isn't for the simple reason that there is no way to pick "a truly random real number". That probability distribution does not exist.

In order to avoid paradoxes the problem has to be *very* carefully stated.

In reply to Re^2: Spooky math problem by tilly
in thread Spooky math problem by tilly

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