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?