Chapter 13.1, Problem 8PPS

To determine

To represent sample space where S can either travel to Ecuador or Italy.

Answer to Problem 8PPS

(i) Organized List

{E,E},{E,I},{I,E},{I,I}

(ii) Table

Outcomes	E	I
E	E,E	E,I
I	I,E	I,I

(iii) Tree Diagram

Explanation of Solution

Given information: An event where S can either travel to Ecuador or Italy.

Explanation-

Let E represent the event that S travels to Ecuador.

Let I represent the event that S travels to Italy.

On choosing between the trips, the sample space will be represented as-

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

Outcomes	E	I
E	E,E	E,I
I	I,E	I,I

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