I suspect it is indeed quite random. If there’s only a one-in-a-million chance that life could emerge without a creator, then look around and notice that out of the millions and millions of stars we can see with planets around them, there’s no sign of life on any of them yet. I suppose every lottery winner thinks God chose him, but the fact is, random chance still accounts for one winner. Our planet won the lottery and here we are, convinced that the whole thing was planned that way. Well, you are.
If you can get beyond the pettiness of polyester mindedness, ONE treatment of the universe uniqueness issue is found at Hugh Ross’s old earth creationism site http://www.reasons.org.
...this is not the only viewpoint for treating the issue, but it’s quite powerful in that it allows just about everything the modern scientists are telling us and STILL says that you’re asking Humpty Dumpty to climb up the wall and reassemble himself. Materialism is quite a ludicrous god.