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Again, I posted something that isn't quite a complete thought.
If we go back to the 11-5-3 ratio then random selection indicated 8/19 chance of hitting a bad guy. No one will vote for themselves, but members of stars have an 8/18 chance of hitting a bad guy. Now if you know someone is not the Police Chief, your odds have improved to 8/17. That is what I meant above with the 50% chance of getting a good vote in based on removing the Police Chief.
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