Theories of providence and creation

Einstein was notoriously confident that God doesn't play dice with the universe. Perhaps it is a confidence born of a deeper modal presumption: that God couldn't play dice with the universe. If so, such confidence almost certainly disappoints. Even if God doesn't play dice with the universe, he might. Thus arises the issue here addressed: what implications does this datum have for a proper understanding of divine providence? My interest is in theories that aim to present complete theories of providence, ones that refuse to relegate anything that happens to a domain falling outside the scope of providence. What we can learn about the parts of it that are most promising for a fully satisfying theory of providence, in light of the dice-playing possibility?