Perhaps you're conflating "God" (the Christian god)How? The OP points out that the variety of god-concepts among humans does not invalidate the possibility nor lessen the probability of God's being.
with "god", the word that denotes any deity.
I'm only addressing the probability of picking the
correct god from the thousands of available
alternatives. The odds look slim that any single
choice would be correct.
The probability of a god existing...I cannot say
what that would be. Somewhere between 0 & 1
though.