Beginner's Mafia. Mafia wins.

What type of probability are we working with here? Did you expect there to be 6 mafia? I was new to the game so maybe a 25% chance to kill a mafioso vs. 75% chance to kill a villager is par for the course and an acceptable risk/good for the town. I would even accept that premise in a large game with 30 or so people using the 1:3 odds, but in such a small game where you were almost as likely to kill the doctor or detective at random as you were mafia, I just can't fathom that.

You're not likely to kill the doctor or detective, because hopefully by that point they'd have roleclaimed.