The evidential problem of evil involves a rarely discussed challenge, namely the challenge
of defending theism against the hypothesis of a morally indifferent creator. Our argument
uses a Bayesian framework and it starts by showing that if the only alternative to
classical theism is naturalistic atheism, then fine-tuning can render theism virtually
certain, even in the face of evil. But if the alternatives include the hypothesis
of a morally indifferent creator, theism is defeated even if the fine-tuning premise
is accepted. The resulting version of the evidential problem is unsolvable using the
tools that are currently deployed by theists against evil.