One more clarification here.
A random sequence generator ,with any knowledge of means of knowing all the future values ,can also be treated using the probablistic principles. However it does not necssarily ensures the purity of the results because the events were always known and deterministic in principle.
For someone everything was known with certainity.
Which makes the theroy of probabilty mere a cover up something as simple and known as finding the nth digit using a formula.
Quantum Physics says that it is impossible to say what will happen with certainity. It probability is the base nature of Phsyics and this is the reason I say simulation is just a simulation if it is not using Quantum laws.