Moreover, how can you determine that it is more improbable than the existence of a designer god?
You actually have a point. Even if the universe were consciously designed, the designer may not be a god. One of the assumptions made, when the design argument is used for the existence of a god, is that the alleged designer must be a god.
I should have asked, “Moreover, how can you determine that some form of life capable of rational thinking is more improbable than the existence of a designer?” If one were to infer that there was a conscious designers, and that that designer was a god, Richard Dawkins’ main argument in his book
The God Delusion, which could be the topic of an entire new thread, comes into play here:
A designer God cannot be used to explain organized complexity because any God capable of designing anything would have to be complex enough to demand the same kind of explanation in his own right
-page 136
Of course, most Christians write this off in their minds by assuming that god is somehow simple. However, this assumption does not excuse god from the same problems that organized complexity in this universe has.