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.
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.