It may be possible to compute the significance for the design for the universe, which indirectly proves God. In other words, if we have just random outcomes with no particular design, we have an argument for accidental events and no God. However, based on what we know about the universe vis-à-vis physical laws, we have highly significant evidence for a supernatural design.
If you use points of origin for expected outcomes, you can calculate degrees of probability for particular events based on logical outcomes. As for the big bang, it is not subject to laws of probability inasmuch as there is no data or information of preceding conditions or circumstances of the event. We do however have information concerning forms of matter and energy following the big bang, which allows one calculate probable outcomes. If would be based on probable outcomes from points of origin for virtual particles, or for mature formulations of matter and energy interacting on time lines for those interactions.