army1987 comments on Initiation Ceremony - Less Wrong
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If he counted them, then he could have given a better calculation than "2/11", since he had one additional prior that was unstated: the probability that he himself was (or was not) a male virtuist. In the same scenario, the best candidate would ask what the virtuist heresy was first, and then give an answer based on that additional information. (If the interrogator refused to answer, the answer might still be 2/11.)
I had guessed something like that was the reason why the answer was supposed to be 1/6.