May I interject, perhaps helpfully?
âA dice throwâ is a good example of a system designed teleologically in order to produce a particular probability distribution reliably, for a partular purpose (ie a game). It does so by ârandomisingâ deterministic laws and deliberately chosen actions within severe contraints.
It does this firstly by requiring a human operator, whose muscular control is imprecise enough to produce a continuous (and precisely unknown) range of magnitudes of toss and spin, especially given a variable range of starting positions.
Secondly, it requires a flat surface, whose deterministic properties will, neverthless, produce unpredictable (to humans not equipped with lab equipment) bounce, but which will always end up ensuring one dice face is up.
Thirdly, the dice is carefully designed so that, although velocity, rotation and the angle of fall vary continuously, the fall will always resolve into one of only six positions. If you visit âprofessional diceâ manufacturerâs websites, you can see how carefully they measure outcomes to ensure that over many throws, the results for each face are as equal as possible (theyâre never exactly equal, because the design and manufacture is never perfect in practice).
Nothing in the system is (in terms of physics) random - humanly speaking it is designed to be ârandomâ in the limited sense that, operated as designed, each dice throw is unpredictable but the aggregate (given a large enough series) will be an even distribution. Each individual result is thoroughly deterministic - but human design has carefully harnessed that determinism to produce âchanceâ.
Now, one can get theological and add divine providence to that: Johnnyâs run of twenty sixes might not be cheating: statistically, such things happen occasionally. But if God ordained that run at that time, he could do so by tweaking the laws of physics from âoutsideâ (Alvin Plantinga), by always or sometimes governing events through the laws (as in the classic Christian doctrine of concursus), by influencing mentally how Johnny actually makes his throw, or by some other means.
But youâll notice that there is nothing in the account, whether thinking purely naturalistically, or taking Godâs will into account, that is ontologically random, in the Epicurean sense. It is not that chance creates order (a game of dice) - itâs that orderly design produces chance, the particular character of which (the probability distribution) betrays the hand of design, because true chance is chaotic and can produce nothing (and is never seen in this Universe, as far as I am aware - or else it would not be a âcosmosâ but the opposite, a âchaosâ.)
If you can understand dice fully (including Godâs knowledge of all the variables and his own providence) there is no randomness involved. The real problem is trying to conceive of any way that true randomness could even in theory exist in a universe created by the God of Christianity, âwho sustains all things by his powerful wordâ. How would one go about sustaining chaos?