Three gods A, B, and C are called True, False, and Random, in some order. True always speaks truly, False always speaks falsely, and Random speaks truly or falsely at random. Determine the identities of A, B, and C by asking three yes-or-no questions, each addressed to one god.
Common Wrong Answers
“Ask A: 'Is B True?'”
This question doesn't provide enough information to distinguish between the gods because if A is True, they would say yes, and if A is False, they would also say no without clarifying who B is.
“Ask any god: 'Are you Random?'”
If you ask True, they will say 'No', and if you ask False, they will also say 'No'. Random could say either 'Yes' or 'No'. This doesn't help to identify any of the gods since the responses are not conclusive.
“Ask B: 'Is A False?'”
This question does not yield clear information. If B is True, they would say 'No' if A is True, or 'Yes' if A is False. If B is False, they would say the opposite, leaving ambiguity about A's identity.
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