https://iep.utm.edu/skept-th/#:~:text=S ... 20instance.Skeptical theism is the view that God exists but that we should be skeptical of our ability to discern God’s reasons for acting or refraining from acting in any particular instance. In particular, says the skeptical theist, we should not grant that our inability to think of a good reason for doing or allowing something is indicative of whether or not God might have a good reason for doing or allowing something. If there is a God, he knows much more than we do about the relevant facts, and thus it would not be surprising at all if he has reasons for doing or allowing something that we cannot fathom.
There is no amount of gratuitous evil that could occur that would ever disprove the existence of God.
That is, we could have a total Hellscape on Earth - as Theists believe would be the case if there was no God (people killing without thought, etc.) It could literally be Hell (but Godless) and that would not be enough to disprove - to the Theist - that a God doesn't exist.
This is problematic in two important ways: mathematically (Bayes), consequentially.
H1: God exists and the justifying reason for suffering is detectable by you: 12.5%
H2: God exists and the justifying reason for suffering is not detectable by you: 37.5%
H3: God does not exist: 50%
However, theists claim that we can't detect the justification for evil, so we redistribute the odds.:
H1: God exists and the justifying reason for suffering is detectable by you: 0%
H2: God exists and the justifying reason for suffering is not detectable by you: 43.7%
H3: God does not exist: 56.25%
Because of the redistribution, according to Bayesian analysis, there is a greater chance that God doesn't exist than does, according to the Problem of Evil and Skeptical Theism.
P(Ak | B) = p(Ak)p(B|Ak)
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p(A1)p(B|A1) + p(A2)p(B|A2)+ ... + p(An)p(B|An)
(From: David Kyle Johnson:
Therefore, there is a reason people have an instinct that tells us the PoE is a powerful argument against God in so many ways (against God's existence and morality, etc.)