Wonktonodi said:
And so the tessting is meaningless
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...other than the worst case scenario, yes.
I do want to point out to you though, that if you think you can sit around and wait for mafia to slip-up or get caught in a lie, you're going to be waiting a long time. There are going to be mislynches regardless. So it's important to understand that in situations like these, it's not that big a deal to mislynch. In fact, this is the only situation in which it makes little difference if you mislynch. At other times, it's more disruptive, but this is the only time where a mislynch will be the least impactful. I think that information is important to note, when deciding whether to lynch or not.
In some situations, I would be against lynching on day 1. This is one of the rare cases where I think a lynch is a statistically good bet, even if it is random.