Question #2a08d878 - SAT Suite Question Bank

ID: 2a08d878

Modded SAT Question Bank by Abdullah Mallik

There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of n ?

$the fraction n over 12$
$the fraction n over n plus 12, end fraction$
$the fraction 12 over n$
$the fraction 12 over n plus 12, end fraction$

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Correct Answer: B

Rationale

Choice B is correct. Since there are n nonfiction and 12 fiction books on the bookshelf, $n plus 12$ 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 n, is $the fraction with numerator n, and denominator n plus 12, end fraction$ .

Choice A is incorrect. This expression represents the number of nonfiction books divided by the number of fiction books. Choice C is incorrect. This expression represents the number of fiction books divided by the number of nonfiction books. Choice D is incorrect. This expression represents the probability of selecting a fiction book.

Question Difficulty: Easy