We can see here that there are 90 outcomes in the complement of the given event, which represents the number of fictional books in the bookcase.
To find the number of outcomes in the complement of the given event, we need to determine the number of nonfictional books in the bookcase.
Given that there are 268 books in total and 178 of them are nonfictional, we can find the number of fictional books by subtracting the number of nonfictional books from the total number of books:
Number of fictional books = Total number of books - Number of nonfictional books
Number of fictional books = 268 books - 178 books
Number of fictional books = 90 books
Therefore, there are 90 outcomes in the complement of the given event, which represents the number of fictional books in the bookcase.