What did Einstein mean when he said, "... God does not play dice"?
Despite the endless repetition of this quote we should note that it is NOT A QUOTE. Einstein never said this, someone else did. Einstein generally spoke in German and was doing so in this case. This alledged quote is a subjective translation that has been refuted by experts who say, "it's not even wrong" :)
See Abraham Pais's "Subtle is the Lord ..." where he points this out and suggests several alternative translations all of which strike me as better and which never use the word "dice". Among the best is the one he uses in the very title of his well received Einstein biography.
Analyzing something he never said is, at best, troublesome.