One meaning of majority is "more than half." Plurality means "the highest number within a given number," "the excess of votes received by the leader over the next candidate when three or more are competing." If Joe got eighty votes, Jack sixty, and Bill forty, Joe would have a plurality of twenty but not a majority because he received fewer than half the votes cast. Majority is often used as a loose substitute for many. In this context, minority means a number, amount, or part forming less than half of the whole. Minority also applies to a group differing in ethnic background, race, or religion from the majority of a population."The Democrats form the majority party in this county." "To win this election, you will need a plurality of the votes, not necessarily a majority." "In this state, Chinese-Americans are a minority group." See also bulk.
Dictionary of problem words and expressions. Harry Shaw. 1975.