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uzalud comments on Can you recognize a random generator? - Less Wrong
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Thanks, this is a great answer. It didn't occur to me that stateless generator with unknown p(0) will have such a "preference" for all-digits-are-same-sequences. p(ten zeros) = 1/11 if p(0) can be any number; but p(ten zeros)=1/1024 if p(0)=1/2.