
Originally Posted by
phil.
6 town, 2 mafia - 33.3% chance we hit a mafia.
How you figured that out is very very wrong. It is still a 25% chance.
If we have 2 power roles, Scum has a 33.3% chance to hit one of them tonight.
If we have 1 power role, Scum has a 16.6% chance to hit it night 1.
If we have a cop and we lynch today, they would have a 33.3% (2/6 [the cop doesn't investigate himself]) chance to find scum tonight--since we lose after the 2nd mislynch we would lose if we do not hit scum today or tomorrow.
If we did not lynch today the cop would have a 28.5% (2/7) chance of finding scum tonight and a 40% (2/5) chance of finding scum night 2.
If we have a doctor and we lynch today, they would have a 16.6% (1/6) chance of blocking the kill night 1 and a 25% (1/4) chance of blocking the kill night 2. If he blocked either kill we would have day 3 with 5 people.
If we no lynch today, the doctor would have a 14.3% (1/7) chance of blocking the kill night 1, a 20% chance of blocking the kill night 2. Day 3 would have 5 people and would lose immediately after the lynch. If the doctor blocked a kill, he would have a 25% chance (1/4) to block the kill and keep the game going.
The doctor's odds suffer due to a no lynch and requires him to block 2 kills in order to extend the game whereas the cop has 2 chances and better odds of finding scum night 2.
Statistics are fun! >_>
I'm pretty sure I got those numbers correct, I just woke up and am still half asleep though.
What: my life skills use meat
Let us be thankful for the fools. But for them the rest of us could not succeed. -Mark Twain