No. There are plenty of random variables without non-uniform distributions. Plus an event in probability theory is not what you think it is. An event can be any subset of the sample space.

The behaviour that dice and spinners and coins are trying to emulate is precisely what dsthysd said. In each case you hope that the faces of the die, sections of the spinner, and sides of the coin are equally likely each time.

I don't think I'm being unrealistic, how can learning more about probability theory change the conventional definition of random?

Isn't the real difficulty in trying to make a non-deterministic system out of a computer, since all we ever do with computers is feed instructions into them?

His discussion pertains to actual sources of randomness(not just the notion of randomness). Even randomness in our technology is generated from deterministic models.

It's sort of strange -- Physics seems like it should be deterministic, so where could random possibly come from? If the Universe is deterministic, then shouldn't anything we observe that seems 'random' actually not random(including human thoughts!?!?)? Enter philosophy land.

As an aspiring philosopher i love these thoughts! Thank you!

I have long thought that Chaos Theory is a vastly underestimated scientific field. They should teach it in elementary school!