Sure you can define the initial state conditions, never said you couldn't. Say you have five dice in the cup playing poker dice. You shake it, they start banging against each other and the walls of the cup. It makes the Kepler three body problem simple but I suppose you have a solution for...
I came across your forum while I was looking into randomness. Shaking dice in a cup is not a deterministic system, it is chaotic. Think of Kepler's three body problem or the physics of weather systems. Modeling dice shaken in a cup involves second order differential equations. A small error...