The Syndicate

Epignosis wrote:So why does an odd number of civilians give the Mafia a better chance of winning?

Using the rules above, where a random player gets lynched in the Day and civilian gets killed at Night, consider:

With four players at an endgame scenario, a civilian is lynched, a civilian is Night killed. That leaves two players voting for each other.

With five players at an endgame scenario, a civilian is lynched, a civilian is Night killed, and a civilian is lynched and then the last civilian can be Night killed.

With the first scenario, there's a 50% chance the Mafia member will be lynched.

With the second scenario, there's a 33% chance the Mafia member will be lynched.

This is why having an odd number of civilians benefits the Mafia.