David Ciocchi has charged that ‘open’ or free-will theism is religiously inadequate. This is it is because it is unable to affirm the ‘presumption of divine intervention in response to petitionary prayer’ (PDI), a presumption Ciocchi claims is implicit in the religious practice of ordinary Christian believers. I argue that PDI and Ciocchi's other assumptions concerning prayer are too strong, and would upon reflection be rejected by most believers. On the other hand, God as conceived by free-will theism has extensive resources for answering petitionary prayers, including prayers whose fulfilment depends on the free responses of other persons.