yes, each mathematician guesses incorrectly as often as they guess correctly. but that is not the same as saying that there is a 50% chance the group "wins" on

yes, each mathematician guesses incorrectly as often as they guess correctly. but that is not the same as saying that there is a 50% chance the group "wins" on any given round. remember with the possibility of passing the number of guesses on a round need not be uniform... Hope that helps get you on the right track, -- Max (the original poster)