We Don't Need No Theme Mafia - Game over, RED wins

I guess that depends on whether the random person might be mafia or not. Because if he randomly kills townies only, we'd be better off lynching at random. If it's anyone, then the odds are about the same.

If we let one person RNG and he's a mafia, then he could lie about the results and just kill townies. Same thing happens if we let everyone have a random vote.