I agree there are many interesting speculations to be made from the observable universe, the…
Rick Fischer

If we go with eternal then “statistically impossible” has no meaning as you have an infinite number of permutations to get it right. The trick is that much of the “settling” of matter and laws of physics as we know it happened in a relatively (as compared to the observed age of the universe) short amount of time.

In other words, things only had time to become the way they are in a short window. In order for it to get here, over infinite time, would imply a cycle of creation, destruction, and creation — just like we see on a smaller scale every day.

This means that even our own single universe is the most recent (successful?) iteration of an infinite cycle.