Collins' point appears to be that we have no way of distinguishing between a situation of purely random chance and a situation where God loaded the dice of the

Collins' point appears to be that we have no way of distinguishing between a situation of purely random chance and a situation where God loaded the dice of the Universe, so to speak. I agree, but this is not so much an "argument for God" as a way of making an apparently-mechanical universe consistent with theism. And "there is nothing new under the sun"; this kind of argument precedes the discovery of quantum physics. Rabbi Israel Salanter (1810-1833) said that a pious Jew is allowed to buy one lottery ticket, because that way if God wants to make you rich but doesn't want to do so with an overt miracle, He can just arrange for you to win the lottery. But if you buy another lottery ticket, that's gambling, which is forbidden.