TheOtherDave comments on Stupid Questions Open Thread - Less Wrong Discussion
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Are you also assuming that you know all of those assumed facts about the area?
I would certainly expect that how many resources I want to spend on exploration will be affected by how much a priori knowledge I have about the system. Without such knowledge, the amount of exploration-energy I'd have to expend to be confident that there are two regions A and B with average payout as you describe is enormous.