Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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14-1<br />
NAME ______________________________________________ DATE______________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />
Counting Outcomes<br />
Tree Diagrams One method used for counting the number of possible outcomes of an<br />
event is to draw a tree diagram. The last column of the tree diagram shows all of the<br />
possible outcomes. The list of all possible outcomes is called the sample space, <strong>and</strong> a<br />
specific outcome is called an event.<br />
Example 1 Example 2<br />
Suppose you can set up a<br />
stereo system with a choice of video, DVD, or<br />
laser disk players, a choice of cassette or<br />
graphic equalizer audio components, <strong>and</strong> a<br />
choice of single or dual speakers. Draw a tree<br />
diagram to show the sample space.<br />
Player Audio Speaker Outcomes<br />
video<br />
DVD<br />
laser<br />
disk<br />
cassette<br />
graphic<br />
equalizer<br />
cassette<br />
graphic<br />
equalizer<br />
cassette<br />
graphic<br />
equalizer<br />
Single<br />
Dual<br />
Single<br />
Dual<br />
Single<br />
Dual<br />
Single<br />
Dual<br />
Single<br />
Dual<br />
Single<br />
Dual<br />
VCS<br />
VCD<br />
VGS<br />
VGD<br />
DCS<br />
DCD<br />
DGS<br />
DGD<br />
LCS<br />
LCD<br />
LGS<br />
LGD<br />
The tree diagram shows that there are 12 ways to<br />
set up the stereo system.<br />
Exercises<br />
The spinner at the right is spun twice.<br />
1. Draw a tree diagram to show the sample space.<br />
2. How many outcomes are possible?<br />
A food st<strong>and</strong> offers<br />
ice cream cones in vanilla or<br />
chocolate flavors. It also offers<br />
fudge or caramel toppings, <strong>and</strong> it<br />
uses sugar or cake cones. Use a<br />
tree diagram to determine the<br />
number of possible ice cream<br />
cones.<br />
Flavor Toppings Cone Outcomes<br />
sugar<br />
cake<br />
sugar<br />
cake<br />
sugar<br />
cake<br />
sugar<br />
cake<br />
The tree diagram shows that there<br />
are 8 possible ice cream cones.<br />
© Glencoe/McGraw-Hill 831 Glencoe Algebra 1<br />
vanilla<br />
chocolate<br />
fudge<br />
caramel<br />
fudge<br />
caramel<br />
A pizza can be ordered with a choice of sausage, pepperoni, or mushrooms for<br />
toppings, a choice of thin or pan for the crust, <strong>and</strong> a choice of medium or large<br />
for the size.<br />
3. Draw a tree diagram to show the sample space.<br />
4. How many pizzas are possible?<br />
A B<br />
D C<br />
VFS<br />
VFC<br />
VCS<br />
VCC<br />
CFS<br />
CFC<br />
CCS<br />
CCC<br />
Lesson 14-1
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