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James_Miller comments on Open thread, Mar. 16 - Mar. 22, 2015 - Less Wrong Discussion
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That one is evil.
Assuming the question was known in advance, the obvious solution is for the people who care more about their grades to pay those who care less to circle A while circling B themselves. If they trust each other, they might even be able to do this after-the-fact.
The universalizing answer would be to choose A 51% of the time.
What was the ratio of As?
It was several years ago and I don't remember.