A dice-throwing God?

As we can read on the Science Daily website on January 6, The Pope Benedict XVI has said that “the universe is not the result of chance, as some would want to make us believe." But what if the God whose “infinite creativity” he appraises in his sermon, is also a dice-throwing God, a God who is free to use stochastic rules? Why do we think of God as a god as a creator of exclusively strictly deterministic systems? Can we prescribe him what logic he uses?