I don’t think you are “doing the math” correctly. If you look, you can find plenty of evidence that there is NO MATHEMATICAL chance this happened by cosmic accident. None. It was designed.
Thus, there was/is a designer. Period.
This could be one of infinite working universes out of an infinite number that “failed”. Or it could be the only one that was designed. Or it could be anywhere in between 1 and infinity,
We simply don't know and there will never be proof from our current perspective