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When an argument breaks out over which of the female castaways is the prettiest, the Professor (Russell Johnson) offers to settle the matter by emceeing a "Ms. Castaway" beauty contest. With three of the men having already selected a favorite, it is necessary to select a completely impartial judge--namely, Gilligan (Bob Denver). At length, Gilligan grows weary of the dirty tricks perpetrated by the menfolk in their efforts to rig the contest, thus he bestows the crown on a long shot--a REEEEEAL long shot!