For the sample space S = {apple pie, cherry pie, peach pie, pumpkin pie}, what is the complement of A = {pumpkin pie, cherry pie}?
A) {apple pie}
B) {peach pie}
C) {apple pie, peach pie}
D) {pumpkin pie, cherry pie}

Question

Quizplus · Accepted Answer

The complement of a set A contains all the elements that are not in A. Therefore, in this case, the complement of A would be all the pies that are not pumpkin pie or cherry pie. The only pies that are not in set A are apple pie and peach pie. So, the complement of A is C = {apple pie, peach pie}.

For the Sample Space S = {Apple Pie, Cherry Pie