Comparing intelligent living structures created by unintelligent interactions of random processes to dice being thrown in which by pure chance enormous series of coincidences occur thereby creating patterns, which can be described as said intelligent structures: The main problem with this idea is that left to their own devices the dice will remain inert on the table, and so there is no dynamic which can produce any patterns. The random interactions of the dice require an active agent throwing the dice.
Einstein's thought of God not playing dice is presumably inspired by the realisation that the complexities of the patterns, forces such as gravity, consciousness, etc, produced within life are endlessly beyond the possibilities of undirected mathematical chance. See the previous post's linked piece to monkeys, on pure randomness producing Shakespeare's works. However, even if chance could produce the unlikeliest of intelligent results, chance still requires a separate agent propelling itself beyind the inertia that would be its natural condition in the absence of this separate element; in that case monkeys. Chance requires a force propelling chance in the first place, else there is no chance.
So, for example, tossing in the air a million million times a coin of two perfectly balanced halves may hypothetically produce sequences of thousands of consecutive heads or tails. The key factor here to take note of, however, is the necessity of someone doing the tossing, and also of course the already existing elements upon which chance can act to produce more elements; these already existing elements
upon which chance acts having, presumably, required chance acting on other elements so as to have produced said elements, and so on. Otherwise absolute inertia.