In the same way, a universe were life is impossible to originate, yet in which there is life, is a 'hint' of a supernatural intervention.
The leap of faith here is that is in the assumption that life is impossible to originate or in the case of the pool table is that you assume there are covers over the pockets when in fact there is none.
One of the saddest lessons of history is this: If we've been bamboozled long enough, we tend to reject any evidence of the bamboozle. We're no longer interested in finding out the truth. The bamboozle has captured us. It is simply too painful to acknowledge -- even to ourselves -- that we've been so credulous. - Carl Sagan, The Fine Art of Baloney Detection
"You can't convince a believer of anything; for their belief is not based on evidence, it's based on a deep seated need to believe." - Carl Sagan
"It is far better to grasp the Universe as it really is than to persist in delusion, however satisfying and reassuring." - Carl Sagan, The Demon-Haunted World