You may, Spock-like, choose the mathematical definition all you like. But "random" is just one of them words that don't cut it any more in a biological context. It serves to cast mud (or heat, depending on how religious you happen to be) rather than light. You're an intelligent fellow. Break free of "random" and talk biological. You know it makes sense!

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Who's gaining on me, Jojo? Don't you know that we biologists still believe we can go faster than light? Have you a thought?