If both methods (random vs pick c for example) were tested a few times, hundred times, million billion times: any difference would be the result of chance (no matter how preposterous it feels) or some x factor like human error. Each choice, mathematically, is equal unless something specific is causing it to be different. Your question’s phrasing tells me you get it already. Your intuition says it shouldn’t make a difference but you have heard somewhere it does and feel like you are missing something. You were right all along, and probability is a difficult concept for most people.
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