I'm neither particularly religious nor particularly atheist. But
science is a religion and has random as their god. It is very
useful at this point in history for many things - and statistics
and averaging is very useful - however, it has its limitations.
This is where I prefer a viewpoint of Engineering over Science.
Avoid the randomness issue altogether and stick with what we can
work with. Work around the stuff we don't know yet. Statistics
and averages can't build a machine, but careful attention to
detail, can. We can't yet predict where the moon will be next
month for certain; only an average. We have an awful long way to
go in measurement and in our formulas. It's far easier to
predict things that are far away from us than it is to predict
things that are close at hand. They're fun and useful as
approximations but they are nearly always wrong as we come up to
whatever the event in question is. What is NOT Random?