The problem is, folks, that there're inadequate definitions of terms like, "impossible," "improbable," and, "chance," here, which--as Gould pointed out repeatedly--is a common error among proponents of, "intelligent design," theory. Evolution isn't random.
It isn't chance that leads to, say, the development of eyes or wings. For eyes to work, there have to be certain commonalities--for example, some kind of light-gathering structure. For wings to work, there has to be (for example) some way of shaping a structure that catches the air. It's just physics, guys, not chance and not Divine Intervention.
But in many ways, evolution also isn't intelligent or purposeful. When you hear people claim that Nature made something happen, they're anthropomorphizing like crazy. Chance events also influence development--no big-*** meteor, and we'd probably still have dinosaurs running things.
Things aren't, "random," in the sense you're claiming. They also aren't, "deliberate," as far as science tells us.
Then anyway, the idea of God-as-Gepetto is pretty cheesy. You do not know that the Great Punta is constantly tinkering, constantly fiddling---and, I'd say, it's only human arrogance that makes us assume that He's got nothing better to do that hang around here.
You find the big guy by faith and introspection, and in other idealist ways that have little to do with science. However, science can show that some beliefs--like the idea that the world's flat, or that Creation took six days, or that the earth was made in 4004 BC--are just plain wrong.