> It's on the level of answering "God did it" to every question.

And saying that it is random with "God rolled a dice" isn't? The entire universe could have used a fixed random seed and our experiments and thoughts would have been exactly the same for all we know, determinism doesn't have the effects you talk about. We perform trials and do statistics when we don't know the exact workings of things, not because we believe that the thing is inherently random.