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No, but you see, the chance you get the same side twice is... (HH, HT, TH, TT) 50%, shit
When we add another toss, you get only two possibilities of always same side, and 6 that are not.
So which is it? The coin itself may always have 50/50, but the universe which tosses in a series doesn't?
Every combination is equally likely we just ascribe special meaning to certain ones due to overactive pattern recognition. Hx6 is just as likely as any seeminly more random result from 6 consecutive throws there are just more options we don't ascribe special meaning to.