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BIG-Bench Extra Hard (BBEH) / Question: Two two-state switches are wired to an electrode. The switches are…

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Question: Two two-state switches are wired to an electrode. The switches are controlled by A and B respectively, and the electrode is attached to C. A has the first option to flip her switch. B has the second option to flip her switch. The electrode is activated and shocks C if both switches are flipped. B wants to shock C, and so flips her switch if and only if A does. C gets an electric shock. Is A's action to flip the switch a necessary cause for C getting shocked?
 Reply based on the answer a logician would give.

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