Normal Game (assume 2 Mafia, one lynched midgame):
Day 1 - 17
Day 2 - 15
Day 3 - 13
Day 4 - 11
Day 5 - 9
Day 6 - 7
Day 7 - 5
Day 8 - 3
Investigations - 7
No Lynch Game (assume 2 Mafia):
Day 1 - 17
Day 2 - 16
Day 3 - 15
Day 4 - 14
Day 5 - 13
Day 6 - 12
Day 7 - 11
Day 8 - 10
Day 9 - 9
Day 10 - 8
Day 11 - 7
Day 12 - 6
Day 13 - 5 (assume one mafioso lynched today)
Day 14 - 3
Investigations - 13
Now, probability was never my strong suit, but 13 is a lot better than 6. The Mafia might presumably vote each other for the shirt later in the game. That's fine. That can be used as evidence.
In the statistical sense, No Lynch is quantifiably superior.
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