In reply to Nogrod - that's not how maths works, I'm afraid. At that point, it was likely that at least one Faithful had spoken. However, every villager today has an equal chance - that is, 4 out of 15 - of being a Faithful.
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I seem to remember another village, plagued by wizards, where there was a suggestion that the known innocent, an ally of the Good Wizard, should chose the lynching candidate. I cannot remember now whether the suggestion was taken up.
But what do you think of this suggestion? Does anyone have any others? Nogrod, what do you think?
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I have already made a similar suggestion. I advised a shortlist. However, we need more known innocents for a shortlist to be mathematically plausible and not manipulated by the Faithful.