I remember a long sleepless night after reading this book at the age of 14. I had been holding on to the Biblical literalism that my parents taught me, in spite of all the evidence in favor of evolution, based on the incredible unlikeliness that the process of life would ever get started by accident. After reading Davies' book I realized that within the "many-worlds" interpretation of quantum mechanics, given a near infinite number of alternate timelines, any outcome no matter how unlikely was not only possible it was mandatory because everything that can happen does happen in some quantum universe. The chain of events that led to our world being the way it is requires no guiding hand because it had to happen somewhere and this is the universe in which it happened. That fact alone does not prove the "many-worlds" interpretation correct, or disprove intelligent design, but it does offer a valid alternative to a creator designed universe. All of this is not exactly what Paul Davies was writing about, but it is what I took away from it.
