Chat with our AI personalities
The easiest way to think of a complement of a set is what's left over after you take out the given set. For example, if you have the set of all children that attend your local elementary school. Then the complement of all the boys that attend the elementary school would be all the girls that attend the elementary school.
The complement of an event is: all other possible outcomes of the repective experiment.
The complement of a set S, relative to the universal set U, consists of all elements of U that are not in S.
Complement
The complement of a set "A" is another set - call it "B" - that contains all the elements (of the universe under consideration) which are NOT in set "A". The "universe" must be specified (or implied), since concepts like the "set of all sets" are known to cause contradictions. For example, if the universe is all the people living in my country, and set "A" is all male people, then the "complement" would be the female people.