In post 3768, Liger_Zero wrote: In post 3762, NerfedBuJ wrote:Fun with math:
Feel free to correct me if I made a mistake.
15 alive.
13:2 town:scum ratio
3 conftown players,
Leaves us with 10:2
We can afford 5 mislynches in the worst case scenario.
We will assume the following in order to calculate the odds in terms of worst case scenario, because anything else would only give us an even higher probability of winning.
Assumptions:
-People that are doused are never lynched
-Scum do not ignite within the suspect list until they can win (this makes the odds of hitting scum less, though we will still assume that we don't hit a doused player, because we are basing this on a 5 mislynch capacity, lynching a doused player would be an extra mislynch)
Odds of scum not getting lynched if random lynching (while avoiding doused players):
Day 3 (5 mislynches left, 0 doused within suspect list) - 10/12 = 83.3%
Day 4 (4 mislynches left, 0 doused within suspect list) - 9/11 = 81.8 % * 83.3% = 68.2%
Day 5 (3 mislynches left, 1 doused within suspect list) - 7/10 = 70% * 68.2% = 47.7%
Day 6 (2 mislynches left, 2 doused within suspect list) - 5/9 = 55.6% * 47.7% = 26.5%
Day 7 (1 mislynch left, 3 doused within suspect list) - 3/8 = 37.5% * 26.5% = 9.9%
Day 8 (lylo, 4 doused within suspect list) - 1/7 = 14% * 9.9% = 1.4%
1.4% that scum avoid the lynch 6 days in a row.
Scum win on Night 6.
If we assume 2 doused now.
There will be 5 doused on Night 6.
Current player list alive is 15. By Day 6, that is 11 left alive and after day over that is 10. Burn douses its 5 players.
Game ends with scum majority.
I think you're both wrong?
15 alive today
we lynch 1
With 14 alive on Night 3
there will be 13 alive on Night 4
12 alive on Night 5
11 on Night 6
On Night 6, scum will have already doused 5 players, and will douse an additional player that night for a total of 6. If they ignite on Night 6, they will kill 6 players.
There will then be 5 remaining, which is 3:2.
Night 7 is the earliest scum can end the game. Night 7 there will be 10 alive. Scum can kill 7 players that night, leaving 3. It will be 1:2 town to scum unless we manage to lynch scum on day 7, in which case it becomes 2:1 town to scum.
So Day 7 is LyLo.
So we have 1 less mislynch than Buj calculated, but scum can't end game on Night 6.