Chapter 13.1, Problem 6PPS

To determine

To represent sample space for G where she is either playing football or basketball

Answer to Problem 6PPS

(i) Organized List

{V,V},{V,B},{B,V},{B,B}

(ii) Table

Outcomes	V	B
V	V,V	V,B
B	B,V	B,B

(iii) Tree Diagram

  

Explanation of Solution

Given information: An event where G is either playing football or basketball

Explanation-

Let V represent the event that G plays volleyball.

Let B represent the event that G plays basketball.

On choosing the next two years of playing, the sample space will be represented as-

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

Outcomes	V	B
V	V,V	V,B
B	B,V	B,B

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