Choosing a Book

Probability Level 1

Mark wants to buy exactly one book. He loves science fiction, mystery, and horror equally, and he cannot decide which type of book to choose. He is sure that he will like any book in any of those genres. To make things easier, he puts all of the books into a large box so he can't see them. If there are 12 science fiction books, 26 mystery books, and 8 horror books, what is the probability that Mark will select a science fiction book from the box?

4 23 \frac{4}{23} 10 23 \frac{10}{23} 1 46 \frac{1}{46} 6 23 \frac{6}{23}

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Karleigh Moore by Karleigh Moore , 27, USA

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2 solutions

Karleigh Moore
Apr 20, 2016

There are 26 + 12 + 8 = 46 26+12+8 = 46 books in total. Any book Mark selects will be science fiction, mystery, or horror so we can think about this problem using the rule of sum .

12 12 of those are science fiction books, so there is a 12 46 \frac{12}{46} = 6 23 \frac{6}{23} probability that Mark will grab a science fiction book.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

The total number of books is 12 + 26 + 8 = 46 12+26+8=46 . In that 46 46 books, 12 12 are science fiction. Therefore, the probability that Mark will select a science fiction book from the box is 12 46 = \dfrac{12}{46}= 6 23 \color{#D61F06}\large \boxed{\dfrac{6}{23}}

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