Recently I carefully read (and highlighted) Chapter 4 of Richard Dawkins book "The God Delusion". Dawkins argument is meant to show that "there almost certainly is no God". His reasoning (taken from various points on different pages by myself) is basically as follows:
1. Complex things are improbable as to coming about by chance: "The greater the statistical improbability, the less plausible is chance as a solution: that is what improbable means."
2. Life is very complex and therefore improbable by chance.
3. Any God capable of designing the universe [and complex life] would have to be more complex than his creation, and therefore more improbable. Any entity capable of intelligently designing something would have to be even more improbable than his design."a God capable of designing a universe, or anything else, would have to be complex and statistically improbable."
4. Therefore God (being very improbable) almost certainly does not exist.
There are several problems with Dawkins argument, however the main problem is is equating improbability of coming about by chance with improbability of existence.
Even if one grants all of Dawkins other points (which many do not), his argument would only prove that any God is statistically improbable as to having come about by chance, (which virtually no theologian believes anyway).
Dawkins argument proves nothing about the improbability as to existence of an eternal God (such as his main adversary the God of the Bible).
The deception in Dawkins argument lies in the fact that when he uses the phrase "improbable" in relation to life, the universe, etc. he is specifically referring to improbable as to coming about by chance. However, later on when he talks about God being even "more improbable" he doesn't ever directly include the qualifying definition of improbable as to coming about by chance, and simply uses the words "more improbable", giving the impression that his argument disproves the existence of any God (even eternal ones that did not come about by chance).