Improbable is giving it a gigantic benefit of a doubt. The odds of chance being responsible for our existence are mathematically ludicrous. Research them for yourself. You may find that you can accept the odds, or a cleverly written article will downplay them to your satisfaction.
The theory of Boltzmann brains has been proposed as a much more mathematically rational explanation. In this paradigm, nothing actually exists and we are floating brains that pop into existence, complete with memories of a full human life. Unlikely you say? Actually, it's statistically 'infinitely more likely' than current Big Bang cosmology.
The god of evolution is time. The basis of the faith is that, given enough time, anything is possible. Examining the mathematical improbability of our finely tuned universe, I found I personally didn't have enough faith in this theory.