To find the complement of Mariah choosing three mysteries, we need to understand what "choosing three mysteries" means in this context. It specifically refers to the scenario where Mariah selects all three books from the category of mysteries (i.e., only mysteries).
The complement of this event (choosing three mysteries) would be any scenario where Mariah does not select three mysteries. This includes scenarios where she selects:
- No mysteries at all (all biographies or science fiction).
- One mystery and two other books (either biographies or science fiction).
- Two mysteries and one other book (either biographies or science fiction).
Therefore, the complement of the event of choosing three mysteries is better described as:
- Not choosing three mysteries.
Out of the provided options, this corresponds to:
- not choosing all mysteries.
This option includes all situations except for the case of selecting three mystery books.