If ever I feel the temptation to feel sorry for myself, I like to remind myself of the idea demonstrated in the cartoon below that shows how in order for us to be alive at all, every single one of the millions of our ancestors, all the way back to the first living organism, had to be survive long enough to reproduce. If, at an early stage of that sequence, one were to put odds on that happening, the chances against it are enormous. And yet here we are.
This is of course, not a paradox at all. If any one of our putative ancestors had struck out and been snuffed out early in life, then we would not be here to look back in wonder. But despite my conscious awareness of the lack of a paradox, it still kind of amazes me, so I can kind of understand why some people think that a god must have planned the whole thing, even though that is preposterous.
But what this knowledge should do is remind us that small probability events happen all the time and are not always a puzzle that needs explaining, anymore than there needs to be an explanation why any given person won the lottery even though the odds against that person doing so were so tiny.
One should bear this in mind whenever advocates of intelligent design or theistic evolution claim that the existence of the universe in its present form is so unlikely to have occurred according to the laws of physics that there must have been some form of divine intervention.