~ The existential question is, well, how random is random? I mean if you see two allegedly random distributions but they are distinctively different from each other, can we actually consider them truly random, or at least one of them as not random?
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I think it shouldn't be a surprise when you see distinctively different distributions which are considered truly random. I mean, they perfectly can be truly random and different at the same time. I would even say that if the distributions were similar in some ways, that, with the exception of an extremely improbable event, would mean that there were some influencing factors, which would mean that the distributions were not random.