Chapter 13.1, Problem 11PPS

To determine

To represent sample space where two types of paints can be chosen acrylic or oil.

Answer to Problem 11PPS

(i) Organized List

{O,O},{O,A},{A,O},{A,A}

(ii) Table

Outcomes	Oil	Acrylic
Oil	O,O	O,A
Acrylic	A,O	A,A

(iii) Tree Diagram

  

Explanation of Solution

Given information: An event where two types of paints can be chosen acrylic or oil.

Explanation-

Let A represent the event that acrylic paint is chosen for project.

Let I represent the event that oil paint is chosen for project.

On choosing between the type of paints for project, the sample space will be represented as-

1. Sample Space using an organized list-
{O,O},{O,A},{A,O},{A,A}
2. Sample Space using a table will be represented as-

Outcomes	Oil	Acrylic
Oil	O,O	O,A
Acrylic	A,O	A,A

3. Sample Space using a tree diagram will be represented as-