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

Explanation:

The complement of an event is all the outcomes that are not part of the original event. The original event is "choosing five pop CDs" (all five are pop). So the complement should be the event where not all five are pop (i.e., at least one is not pop, which is equivalent to not all being pop). Let's analyze the options:

• "choosing five CDs where none of them are pop" is too restrictive; the complement isn't just no pop, it's any case where not all are pop.
• "choosing five CDs where not all of them are pop" matches the definition of the complement (since the original is all pop, complement is not all pop).
• "choosing five CDs where at least one of them is pop" is not the complement, because the original event already has at least one (all five) pop, and the complement should exclude the case of all pop.
• "choosing five CDs where all of them are pop" is the original event, not the complement.

Answer:

B. choosing five CDs where not all of them are pop