Physics of Random Experiments
The following chapter from a text planned by Professor Edwin T. Jaynes entitled "Physics of Random Experiments" seems very similar to the views expressed in the first post by smarterthangod. This is also Ch. 10 in the published volume of PROBABILITY: THE LOGIC OF...
The Physics of coin tossing and dice rolling
The question in the original post is discussed at length in the writings of Edwin T. Jaynes (Papers on Probability, Statistics & Statistical Physics) By E. T. Jaynes, R. D. Rosenkrantz
I don't recall the paper's title in the Rosenkrantz...