pnrjulius comments on But There's Still A Chance, Right? - Less Wrong
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The probability of generating THAT SEQUENCE is enormously, nigh-incomprehensibly tiny.
The probability of generating A SEQUENCE LIKE THAT (which appears as patternless, which contains no useful information, which has a very high information entropy) is virtually 1.
If I generated another sequence and it turned out exactly identical to yours, that would indeed be compelling (indeed, almost incontrovertible) evidence that something other than random chance was at work.