Whatever occurs by chance occurs accidentally; whatever occurs accidentally does not occur by providence. If, then, some things occur by chance in the world, the universe is not governed by providence. But if the universe is not governed by providence, there is some nature and substance that is unrelated to the workings of providence. But everything that exists is good to the extent that it exists. Now in the highest place is that good by participation in which everything else is good. And every thing that is changeable is good to the extent that it exists not of itself but on account of its participation in the unchangeable good. Furthermore, that good by participation in which other things are good, whatever they may be, is good by reason not of something else but of itself, and this we call divine providence. Therefore nothing occurs by chance in the world.
Augustine, Responses to Miscellaneous Questions, XXIV. Whether both committing sin and acting rightly fall under the will’s free choice
He assumes providence means meticulous control. and doesn’t prove his assertion that nothing occurs by chance.