In post 1300, MathBlade wrote:Assume that scum magically know which player is which role. They have to predict which guilty to lose a scum to. The odds of three townies never checking a scum in 3 nights is astronomically low.
Oh? Are they?
Let's do the math then.
For the follower to get a guilty:
They need to follow the scum making the nightkill.
On N1, there is a 1/11 chance of that occurring. (9.090909090909091%)
On N2, there is a 1/9 chance of that occurring. (11.11111111111111%)
On N3, there is a 1/7 chance of that occurring. (14.28571428571429%)
For the roleblocker to get a guilty:
They need to roleblock the scum making the nightkill.
And keep in mind that if they block scum that didn't make the nightkill--they can't block that scum again even if the scum DOES make the nightkill later. (Say they target the scum not nightkilling N1 but said scum nightkills N2--the roleblocker will fail for the entire rest of the game.)
This one is thus something I don't know how to calculate for sure, but let's use the formula above for simplicity's sake;
On N1, there is a 1/11 chance of that occurring. (9.090909090909091%)
On N2, there is a 1/9 chance of that occurring. (11.11111111111111%)
On N3, there is a 1/7 chance of that occurring. (14.28571428571429%)
For a motion detector to get a guilty:
They need to detect the scum making the nightkill, AND have no town PR target the player who makes the nightkill (not to mention, the scum have an easier time talking their way out of an MD guilty than any other type of guilty).
On N1, the odds of that happening are (10/11) * (10/11) * (10/11) * 1/11: 1000/14641, a 6.830134553650707% chance.
On N2, the odds of that happening are (8/9) * (8/9) * (8/9) * 1/9: 512/6561, a 7.803688462124676% chance.
On N3, the odds of that happening are (6/7) * (6/7) * (6/7) * 1/7: 216/2401, a 8.996251561849229% chance.
What do you get when you add all three percentages up?
34.48773448773449% for the follower, assumed 34.48773448773449% for the roleblocker, and 23.63007457762461% for the motion detector.
Keeping in mind also: the town does not know that a roleblocker guilty is a hard guilty until no killstop roles are claimed (because a doctor, jailkeeper, babysitter, rolestopper, bulletproof, commuter, and hider all give possible explanations for no kill).
The town does not know that a motion detect guilty is a guilty.
So between the three, if all three were left alive you might get a 92.60554355309359% chance of getting
one
guilty between them, but that's if all three were left alive for three nights straight and with the lens of the above that not all guilties are hard guilties. Only the follower is a guilty that cannot be argued against. (Counterbalanced by being Loud and thus letting the scum know precisely when they have been guiltied.)
The Neapolitan has different math, admittedly:
3/11 N1 (27.27272727272727%)
3/9 N2 (33.33333333333333%)
3/7 N3 (42.85714285714286%)
But again, the Neapolitan while guiltying scum is Loud and thus means the scum targeted by it know they have been guiltied and know they need to claim a power role. Any power role. Literally any power role--they can claim an unprovable role and the Neapolitan has no way of telling otherwise. And if the claim is appropriately low in power, it can fit into the setup fairly easily. And to reiterate, this is only IF the Neapolitan guilties scum.
And all of this math? Is in the worst case scenario where scum do not identify any of the threatening power roles to them.
The scum have a 4/9 shot N1 at hitting a power role (assuming a VT dead D1).
If they miss and a VT dies D2, then on N2 it's 4/7.
If they miss and a VT dies D3, then on N3 it's 4/5. (Granted, if there's literally only one VT left in the game, the scum have done something very, very, VERY wrong.)
Is that a bad thing? Scum should not be rewarded by the setup for killing scum, they should be fully aware they should be punished for killing scum. Town should not be punished by the setup for killing scum; they should be justly rewarded for killing scum.
The loud follower does not have a good counter if they get a guilty, that is true enough--however, as shown above, the statistical odds of the follower getting a guilty are quite low.
The counterplay to the loud follower is also plenty apparent BEFORE a nightkill--select someone to perform the nightkill you don't think the loud follower will target. You've got little in the way of counterplay after a guilty, but you've got plenty of counterplay before a guilty exists by guaranteeing that no guilty is generated.
In post 1300, MathBlade wrote:Once down to the last goon follow the cop takes place. Roleblocker and follower work in tandem and scum can’t do shit.
Bluntly if the game gets down to one scum alive with both the roleblocker and follower alive, they deserve to lose and the town deserves to win.
The mafia are the informed minority--both of those are key. They are the minority, so statistically speaking it is hard for the town to get guilties on them especially given the scum are informed. By knowing what roles are in the setup and by knowing who the scum are, the scum have the best idea of who among them are least likely to be caught by 3/4 of the town power roles. Because as it turns out, follower/roleblocker/motion detector all have the same type of preferred target.
And as the informed minority they have the advantage of communicating with each other, collaborating, and coordinating. This can allow them to hone in on the power roles (with full knowledge of what they are, it is easier to pick up on identifying behaviors) and to coordinate who does the nightkill as to dodge the town PRs and to, in their dayplay, play in a way to help maximize their night action gameplay.
After all--you don't need to bus in order to look town as scum. Bussing is one way to look town as scum; it is not the
only
way to look town as scum. Plus you don't necessarily need to bus; distancing without bussing is still viable in this setup. If scum, with full knowledge of the setup, do nothing to capitalize on this knowledge and strategize, then they are neglecting their advantages as the informed minority by not taking advantage of the information given to them.