Question

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is the complement of April choosing five pop CDs? choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
 choosing five CDs where all of them are pop

Answer 1

The answer is B: choosing five CDs where not all of them are pop

Answer 2

The correct answer is:

choosing five CDs where not all of them are pop

Explanation:

The complement of an event is the set of outcomes that are not the event in question.  In this case, the event is April choosing 5 CDs and all of them being pop.  The complement then, the set of outcomes that are not April choosing all 5 pop CDs, means at least 1 of them would not be pop.  This would be enough to make it the complement.