You missed the parent’s point. “Equal 1s and 0s” is not a sequence; it’s a class of sequences. So the fact that sequences with that property are more common than the specific sequence “all 1s” is true but doesn’t answer the question. 11110000 is a different sequence than 10101010. The question this thread is exploring is whether 1111111 is more likely than any other sequence, e.g. than 1111000 in particular (or insert any other sequence). And of course the answer is no.