Epistemic luck of this kind—where the hearer would believe equally from an unreliable source—is precisely what Pritchard's anti-luck epistemology identifies as incompatible with knowledge.
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epistemology(Contrasted with purely descriptive scientific inquiry)
A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.