Chapter 13, Problem 6PT

To determine

Represent the sample space for each experiment by making an organized list , a table , and a tree diagram.

Explanation of Solution

Given:

S wants to adopt a pet and goes to his local humane society to find a dog or cat. While he is there, he decides to adopt two pets.

Calculation:

Let the dogs and cats be represented by D , and C respectively.

Since S can adopt any pet as two pets , both the events of adopting pets are independent.

The Sample space :

Organized list − { (D,D) , (D,C) , (C,C) , (C,D) }

Table -

Outcome	Dog	Cat
Dog	(D,D)	(D,C)
Cat	(C,D)	(C,C)

Tree Diagram −