theprof00 said:
Imagine flipping a coin 12 times and having heads come up every single time. That's about the same chance we have of that one scenario where a day 1 mislynch is detrimental.
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I think you missed the point by being too fixated in your scenarios.
if I understood correctly, he says that you don't consider, for example, that day 2 lynch gets a mafia... then your day 5 could be saved by the extra person not killed day 1.
basically you should consider the bell curve. (this is an example, I didn't crunch numbers)
M/SK never killed? close 0
odds mafia are never killed? slim
odds that one mafia is killed? better
odds that 2 mafia are killed (hey there's a cop)? even better
odds that 3 mafia are killed? just better
odds that 4 mafia are killed? slime
4 mafia SK? close 0
=> most likely scenario is 2 mafia killed, so your estimates should be based on that.
(made the odds look a bit like a bell curve on purpose :p)