Even if it's correct, my understanding is that it averages out way before it gets to the macroscopic scale, so for all intents and purposes the universe is entirely deterministic, making the odds of ANY event 1.
In fact, we could then draw a Bayesian inference.
(1) The probability of any event in a deterministic universe is 1, so P(E|D)=1.
(2) The probability of any event in a non-deterministic universe is unimaginably small; I estimate it at 10
-1000 at best, so P(E|~D)<10
-1000.
(3) We cannot tell whether the universe we live in is deterministic or non-deterministic, therefore we can assign an initial estimate of 0.5 for the probability that the universe is deterministic. P(D)=P(~D)=0.5.
(4) According to Bayes' Theorem, P(D|E)=P(E|D)P(D)/P(E)
(5) We can estimate the probability of any event as the average of its probability in a deterministic and a non-deterministic universe, which gives the result that the probability of any event is (0.5+5x10
-1001), insignificantly different from 0.5.
(6) Substituting into Bayes' Theorem, we find that P(D|E), the probability that we live in a deterministic universe given that
any event has actually taken place, is (1x0.5/0.5) = 1.
(7) Therefore, the fact that any event has taken place demonstrates that we live in a deterministic universe.
And please don't criticise me for posting that. As you can see, I didn't have any choice.
Dave