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A shelf contains only books of poetry, short stories,

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A shelf contains only books of poetry, short stories,

by M7MBA » Mon Jul 02, 2018 1:20 am

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A shelf contains only books of poetry, short stories, and non-fiction. If Jana draws a book randomly off the shelf, what is the probability that the book will be non-fiction?

(1) There are 15 books on the shelf.
(2) There are 4 books of poetry and 5 books of short stories on the shelf.

The OA is C.

How can I use both statements to get an answer here? Could anyone give me an explanation? Please.
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by GMATGuruNY » Mon Jul 02, 2018 1:31 am

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M7MBA wrote:A shelf contains only books of poetry, short stories, and non-fiction. If Jana draws a book randomly off the shelf, what is the probability that the book will be non-fiction?

(1) There are 15 books on the shelf.
(2) There are 4 books of poetry and 5 books of short stories on the shelf.
Neither statement alone offers any information about the number of nonfiction books.
Statements combined:
Number of nonfiction books = (total number of books) - (poetry books) - (short story books) = 15 -4-5 = 6.
Since 6 of the 15 books are nonfiction, we get:
P(selecting a nonfiction book) = 6/15 = 2/5.

The correct answer is C.
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