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Yes, good point. It's also formalized in basic probability theory. The set of number sequences a human would find interesting or surprising is smaller than the
by fractionalhare 6y ago
Yes, good point. It's also formalized in basic probability theory. The set of number sequences a human would find interesting or surprising is smaller than the set of all number sequences. If all number sequences are equally likely, by the third axiom of probability you're more likely to draw an uninteresting number sequence than an interesting number sequence.
However that does change the problem statement; we do still expect "123456" to occur equally as often as any other sequence, interesting or not.