Explanation
Correct answer: B.
Choice B is correct. Since there are nonfiction and fiction books on the bookshelf, represents the total number of books. If one of these books is selected at random, the probability of selecting a nonfiction book is equivalent to the number of nonfiction books divided by the total number of books. Therefore, the probability of selecting a nonfiction book, in terms of , is .
Desmos solution:
Note: The probability is nonfiction books over total books, n/(n+12).
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This expression represents the number of nonfiction books divided by the number of fiction books.
Choice C
Choice C is incorrect. This expression represents the number of fiction books divided by the number of nonfiction books.
Choice D
Choice D is incorrect. This expression represents the probability of selecting a fiction book.