The complement of an event is defined as the set of outcomes that are not included in that event. In this case, the event is April choosing five pop CDs.
-
Choosing five CDs where none of them are pop: This means all selected CDs are either rock or R&B, which is not the scenario where she chooses only pop CDs.
-
Choosing five CDs where not all of them are pop: This includes cases where she selects some pop CDs in addition to rock and/or R&B, or she might choose none at all, which is not strictly the complement of choosing five pop CDs.
-
Choosing five CDs where at least one of them is pop: This includes scenarios where some pop CDs are included and is not the complement of the event where only pop CDs are chosen.
-
Choosing five CDs where all of them are pop: This is exactly the event we're defining, which is not a complement.
The correct choice for the complement of April choosing five pop CDs is:
Choosing five CDs where none of them are pop.
2 answers