I think existance, biology and consciousness or whatever you want to label these things is much more mysterious than statistics.

Isn't most of our current understanding of how life on earth came to be (eg: primordial soup, hydrothermal vents, etc), natural evolution, all basically "just statistics"? They all require the correct "setup" (time, location, etc), but in a large enough universe, it's _statistically_ likely (mediocrity principle) and "just statistics" again, right?