- if all of the Evil team's cards are in the Reserve, the Villagers must ensure that all players receive one and exactly one vote each (you may ignore the Tanner's vote for this)
I was just looking at how unlikely this is....and it is INCREDIBLY unlikely.
Let me describe what 2 courses MUST take place for this to happen (to the best of my knowledge).
Course 1
- 2 "evil" roles MUST start in the spare roles. No more, no less. The chances of this happening is just 6.99%.
- The Doppelganger CANNOT look at the evil card that is in play, or the drunk. If he does, there would then be either 4 evil roles, or 2 switches with the spares. Chances of this are pretty good though, at a whole 80%.
- The Drunk MUST be in play. If the Drunk is not in play, there is nobody to switch out the last evil card into the spares. Chances are also good for this, at 90%.
- The Drunk MUST pick the spare role that is not the evil roles. There is a 1 in 3 chance of that happening, or 33.33%.
- The Troublemaker MUST switch the evil role and the drunk. This allows the drunk, with his action, to put the evil card into the spare roles. The chance of this happening is just 2.78%.
Course 2
- All 3 evil cards MUST be in the spare. There is just 0.3497% chance of this.
- The Doppelganger MUST look at the Drunk. The chances of this are 11.11%
- It does not matter which card the Doppelganger looks at yet.
- The Troublemaker MUST switch the now evil Doppelganger with the original Drunk. Again, the chances are 2.78%
- The Drunk MUST switch with the role that the Doppelganger took. Again, 33.33%.
So. Course 1 has 0.04662% chance of happening randomly. Course 2 has just 0.00036% chance of happening randomly. In total, this has 0.04698% chance of applying to any given game. So, out of every 5 million random games, just 2349 will have this happen. Out of every 100000, just 47.