LadySuburu wrote:
Wojjan wrote:
the watcher is on the tracker. The mafia loses two mafia. Not really a gambit I'd take if I were them, with already a member down
So if I'm following correctly, this is what you want:
50% chance of lynching the tracker and losing another power role at night, have just the one confirmed mafia.
50% chance of lynching mafia and losing the tracker at night, gain another mafia name next night.
VS
100% chance of not lynching the tracker, and a chance of lynching a different mafia
Basically 100% chance of tracker dying at night. We get the one confirmed mafia.
Is that about right?
Basically, yes. The chance of lynching another mafia today that doesn't counterclaim the tracker is slim, because hardly anyone has even discussed the lynch yet, everyone discusses what we'll do tonight. That's important but nothing to lynch on. The odds of lynching town or mafia while not considering the tracker is more leaning towards lynching town than lynching the two mafs I suspect remain in the group.
The odds of lynching the maf that cc's the tracker are one out of two, and we can check for ourselves which claim we think is the most believable.
In your situation that's 2/8 chance we lynch a maf today, and 100% for killing the next when we lose the tracker. so 2/8 for two mafs. That's 14 - KRZY, Watcher, Rolled, LS, Wojjan, Tracker
WARNING: PROBABILITY FOLLOWS HERELet's say there's two mafia left. The first choice will be to lynch the mafia correctly. That's a fifty percent chance, but it's a chance that we can influence with scumtells and the like. I'm going to assume we do lynch the mafia correctly.
The next night, the mafia will probably kill the watcher, because he'll be on the tracker. That means there'll be two mafia among 16 living players. Let's exclude uncc'd, confirmed town players (KRZY, Rolled, LS, Wojjan, Tracker). That leaves 8. From those, we can either take two paths. The tracker has a result on a mafia, which is a 2/8 chance. If this doesn't happen, we're left with 7 townies (because a tracker result that's not on the dead guy will exclude them from being mafia) among which we have 2 mafs still hiding. If we lynch a maf correctly after that, it's a 1/5 chance for lynching the last maf, and we have at least three mislynches (IMCAC) to do so. So that's 1/5,1/4,1/3. Basically, the chance that we WON'T hit the last mafia is (2*3*4)/(3*4*5) which is 50% again. If we don't ever hit mafia, the odds will be 2/5, 2/4, 2/3 and that makes a 1/10 chance.
so that's a 1/4 chance that we lynch all mafias on a bad day, and 9/20 on a good day, and that's relying only on chance, assuming there are NO more power roles, no more investigation, and no more lucky breaks from any power roles to out maf.
As far as mafia games go those are pretty nice odds. At least, to my calculations, better than yours.