I just started reading "The Hidden Reality" by Brian Greene which is all about alternate universes or multiverses and one of the first arguments for not just other life in the universe, but near-duplicates of *our* life is just that statistical argument. With finite mass/energy in an infinite universe, for every quadrant of space it can only be shuffled in a limited number of finite combinations which leads to copies of the same stuff over and over again. Some identical, some differing by small amounts (what if I went left instead of right?), some drastically different happening over and over again across the infinite universe.

Totally cool thought!