UQD - We had this conversation before and I explained to you before that lack of evidence for either side does not mean low probability.
Example: You throw a die in a totally dark room where you can't see the outcome. Therefore, you have no evidence as to the outcome. Still, the probability of any outcome is 1/6, just as it was if the lights were on.
"One can say that God "very probably" doesn't exist without having to use a mathematical sense of the word "probability"."
No you can't, because there is only one "sense" of the word 'probability'. And that is mathematical.
"you can't prove something doesn't exist"
Yes, you can, actually. If you know all the variables. You can prove that 7 doesn't exist on a die.
The problem here is that you don't know all the variables, so you don't really know if the God of major monotheist religions exists or not. You don't have any evidence that he doesn't exist, either.
So, as I said, your position ("There is no God") is indefensible. Agnosticism is the only rational position - if one day I see evidence that God exists, I will believe it. Until then, I have no idea if he exists or not.