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The point of probability is to describe uncertain events. Coin flips aren't described by uniform distributions, they're binomial. Human intelligence can be modeled by a Gaussian distribution. And this site's experiment seems to suggest that picking a number between 1 and 10 can be modeled by a bimodal random variable with means around 4 and 7. Point being: random doesn't necessarily mean uniform.

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No, but random does mean uncertain, and the uniform distribution has maximal entropy. In other words, uniformly distributed numbers are most random, colloquially, and so you can improve your ability to generate random numbers by sampling from a more unform distribution.

Also, just because intelligence is described with normal distributions, it is not at clear that it can be.

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