Question

select the correct answer. the top shelf of a bookcase holds 6 fiction and 4 non - fiction books. on the bottom shelf are 3 fiction and 5 nonfiction books. choosing which 2 books describes a pair of dependent events? a. one of the fiction books on the top shelf, and then one of the nonfiction books on the bottom shelf b. one of the fiction books on the top shelf, and then one of the nonfiction books on the top shelf c. one of the fiction books on the top shelf, and then a second fiction book from the bottom shelf d. one of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf

Explanation:

Step1: Define dependent events

Dependent events are events where the outcome of the first - event affects the outcome of the second event.

Step2: Analyze option A

When choosing one fiction book from the top - shelf and then one non - fiction book from the bottom - shelf, the first choice (fiction book from top - shelf) does not affect the second choice (non - fiction book from bottom - shelf).

Step3: Analyze option B

Choosing one fiction book from the top - shelf and then one non - fiction book from the top - shelf. The first choice of a fiction book from the top - shelf changes the number of books available for the second choice (non - fiction book from the top - shelf), so these are dependent events.

Step4: Analyze option C

Choosing one fiction book from the top - shelf and then a second fiction book from the bottom - shelf. The first choice from the top - shelf does not affect the second choice from the bottom - shelf.

Step5: Analyze option D

Choosing two non - fiction books from the bottom - shelf. The first non - fiction book choice affects the number of non - fiction books available for the second choice, but the question asks for a pair of events that cross shelves and involve different types of books in a dependent way.

Answer:

B. one of the fiction books on the top shelf, and then one of the nonfiction books on the top shelf