Question there-

3.5 Probability & Conditional Probability - Simple probability
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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 ?

A.

the fraction n over 12

B.

the fraction n over n plus 12, end fraction

C.

the fraction 12 over n

D.

the fraction 12 over n plus 12, end fraction

There are n nonfiction books and 12 fiction books on a bookshelf. If one of these

Medium-difficulty · SAT Math · Probability & Conditional Probability — Simple probability. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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.