Exercise 1 Page 966

For each statistical experiment we have a set of all possible outcomes, which is called a sample space. There are three basic ways to represent a sample space — an organized list, a table, and a tree diagram. Let's consider an example experiment: flipping a coin followed by rolling a die.

Now, for flipping a coin we have $2$ possible outcomes, and for rolling a die we have $6$ possible outcomes. Let's present our sample space using all three methods. We will start with an organized list and pair each possible outcome from flipping a coin with the possible outcome of rolling a die. Next, we can use a table. To do this we will list the outcomes of flipping a coin in the top row and the outcomes of rolling a die in the left column.

Outcomes	Heads	Tails
$1$	$H,1$	$T,1$
$2$	$H,2$	$T,2$
$3$	$H,3$	$T,3$
$4$	$H,4$	$T,4$
$5$	$H,5$	$T,5$
$6$	$H,6$	$T,6$

Finally, let's create a tree diagram for our situation.

We can see that only in a tree diagram we have line segments. Additionally, they are used to present possible outcomes. Therefore, the given statement is true.

A $\underline{\text{tree diagram}}$ uses line segments to display possible outcomes.