Chapter 13, Problem 3MCQ

To determine

To calculate :

Sample space for Marcy’s shirt choices by making organized list, a table and a tree diagram.

Answer to Problem 3MCQ

Sample space for Marcy’s shirt choices by making organized list, table and tree diagram is as below.

Explanation of Solution

Given information:

Marcy has six shirt of colors such as red, blue yellow, green, pink and orange.

Calculations:

Organized list is as below:

Pair each possible outcome for the color with the possible outcome for the type.

  $R,S;R,L;B,S;B,L;Y,S;Y,L;G,S;G,L;P,S;P,L;O,S;O,L$

Table is as below:

List the outcomes of the color in the left column and those of the type in top row.

Outcomes	Red	Blue	Yellow	Green	Pink	Orange
Short-sleeved	$R,S$	$B,S$	$Y,S$	$G,S$	$P,S$	$O,S$
Long-sleeved	$R,L$	$B,L$	$Y,L$	$G,L$	$P,L$	$O,L$

Tree diagram:

The top group is all of the outcomes for the color. The second group includes all of the outcomes for the type.

The last group shows the sample space.