I appreciate a good reason to think deeply as much as the next person ... but odds are just that, odds. If we were the result of some freak black swan event that kickstarted "life", the odds of it happening are irrelevant ... because it did.
To be clear, I'm not saying that's what it is ... the fermi paradox is a great thought experiment. But let's just keep things in perspective. Low odds don't mean something won't happen, just like "true random" doesn't mean the same song can't/won't play 10 times in a row ;)