[VadeRetro]

We might as well mention that quantum randomness is different from the macro-level pseudo-randomness of dice and Lotto balls. Macro-level processes are deterministic in principle; some of them are just intractable to analysis as a practical matter. Quantum random is now and forever hopelessly really random.

[Doctor Stochastic]

Macro level randomness may appear as a result of Brownian motion; a discussion of Einstein's work on this (his PhD dissertation) is on the xxarchive preprint server (history of physics.) The existence of atoms (or molecules) produces randomness. Some people didn't accept atoms until after Einstein.

QM randomness reall is different as you point out. It's fundamental. It can be amplfied though; one could use radioactive decay to generate Lotto numbers.)