On a bookshelf there are 16 fiction books, 8 math books, and 4 cookbooks. What is the probability that you randomly select a fiction or math book from the shelf?
Question
On a bookshelf there are 16 fiction books, 8 math books, and 4 cookbooks. What is the probability that you randomly select a fiction or math book from the shelf?
Solution
To solve this problem, we first need to determine the total number of books on the shelf. We do this by adding the number of each type of book together:
16 fiction books + 8 math books + 4 cookbooks = 28 books in total
Next, we need to determine the total number of books that are either fiction or math. We do this by adding the number of fiction books to the number of math books:
16 fiction books + 8 math books = 24 books
The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is selecting a fiction or math book, and the total number of outcomes is the total number of books on the shelf.
So, the probability of selecting a fiction or math book is 24 (the number of fiction or math books) divided by 28 (the total number of books), which simplifies to 6/7 or approximately 0.857, when rounded to three decimal places.
So, the probability that you randomly select a fiction or math book from the shelf is 6/7 or 0.857.
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