That seems duplicitous. If someone says that God did it, they have to prove it. If you say that it's a random action that organisms began and evolved into humans, you don't have to prove it?
I said you can prove it to the extent that anything can be proven. It's a scientific hypothesis at this point. I think it's currently the best theory, but I'm not convinced of abiogenesis. As for if it as random or not, I haven't seen any proof that it is not random so it is logical to believe it is until proven otherwise. That has nothing to do with faith.