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The problem is that there's no way to define a random sample over all the real numbers, where every real number has equal probability of being chosen.
See this related problem and solution by Randall MonroeMunroe, the creator of XKCD.
See this related problem and solution by Randall Monroe, the creator of XKCD.
See this related problem and solution by Randall Munroe, the creator of XKCD.