Well, with 9 people, and 2 scum...
Day 1: 1/4 Chance of king being scum, and 3/4 chance of town king. With 1/4 chance of lynching scum. So after day 1 there's 3/16 chance of scumlynch.
Result: 3/16: 1 scum; 13/16: 2 scum. 7 People left after NK.
Now comes the difficult part to keep track of.
Day 2, 2 scum: 1/3 chance of scumking, 2/3 chance of townking, with 1/3 chance of scumlynch. So 2/9 chance of scumlynch, multiplied with the probability that there's still two scum that's 13/72 chance of 1 scum left and 91/144 of both being alive.
Day2, 1 scum: 1/6 chance of scumking, 1/6 chance of scumlynch if king is town. leaving us with 5/36 chance of scumlynch that day. With the probability on scumlynch on first day, that's 5/192 chance of townwin and 29/192 chance of scum still alive.
Result: 5/192:townwin; 91/144: scum both alive; 191/576: 1 scum alive. 5 people left after NK
Day 3, 2 scum: 1/2 chance of scumking, and townking has 1/2 chance of townlynch. 3/4 chance of scumwin, 1/4 chance of 1 scum left. With the chance that both scum are still alive that's 91/576 chance of 1 scum left and 91/192 chance of scumwin.
Day 3, 1 scum: 3/4 chance of townking, 1/4 chance of scumlynch if town is king. 3/16 townwin, 13/16 of scum still being alive. With prob(1 scum left), that's 191/2592 chance of townwin, and 2483/9216 chance of scum being alive.
Result: 191/3072: townwin; 91/192:scumwin; 1313/3072: 1 scum alive and game still running. 3 people left after NK.
Day 4: 1/2 chance of townking and then 1/2 chance of scumlynch. 1/4 chance of townwin, 3/4 chance of scumwin.
Result: 1313/12288: townwin; 1313/4096: scumwin.
Total result:799/4096: townwin; 9763/12288: scumwin.
... somewhere I made a mistake...
Edit: I think I found it. *keeps editing*
edit2: aaand still missing 1/96 somewhere... -_-