Fun question! I think the following would be a viable strategy without communication: Think of an observable criterion that matches the target distribution. Fo

Fun question! I think the following would be a viable strategy without communication: Think of an observable criterion that matches the target distribution. For example, for 80-20: - "Is the minute count higher than 12?" (This is the case in 80% of cases) - "Do I have black hair?" (This is apparently also the case in 80% of cases) Then, answer according to this criterion. If everyone follows the same strategy, even if the criteria selected differs between each individual, the votes should match the target probability. Unless I am making a logical mistake :)