Chapter 13, Problem 5PT

To determine

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

Explanation of Solution

Given:

A box has 1 red ball , 1 green ball , and 1 blue ball. Two balls are drawn from the box one after the other , without replacement.

Calculation:

Let the red , green and blue balls be represented by R , G , and B respectively.

Since the balls are drawn without replacement , no ball can be repeated in two events.

The Sample space :

Organized list − { (R,G) , (R,B) , (G,R) , (G,B), (B,R) , (B,G) }

Table -

Outcome	Red	Green	Blue
Red	-	(R,G)	(R,B)
Green	(G,R)	-	(G,B)
Blue	(B,R)	(B,G)	-

Tree Diagram −