My two cents is that I think complete randomization is impossible.
In the courts, there were programs to generate random picks of names for people to serve on jury duty. Inevitably, someone would say, "You know, it's probably just my imagination, but I think it is tending to select more of X." The programmer would say "I'm sure it's not your imagination," check and indeed find the X and fix it.
Then someone would say, "You know, it's probably just my imagination, but I think it is tending to select more of Y." The programmer would say, "Thanks, I'm sure it's not your imagination," check and find the Y and fix that. And so on.
I finally said, How do you KNOW it's not their imagination? How do you know you are going to find some quirk? THEY don't even know if they are really noticing something.
He said, some people are just way more sensitive to patterns, and I have learned to trust their instincts. No program can ever be made truly random. Whenever I fix something to be truly random, it just means that someone else will now be able to detect some other nonrandomness in there.
I said, Why can't it ever finally be completely genuinely random?
He said, Because programs are created by human beings and humans are inherently organized, even when they take their very best aim at randomness.
I find this fascinating. It came up when I idly mentioned that I thought I had found a pattern in a computer game, "but it was probably just my imagination," and he said "NO! It's not your imagination! What have you discovered?" And it did give him an edge, too, in playing the game.
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