Tree Diagrams

Lesson 13.2 Tree Diagrams
639
Fruit Smoothies
You are ordering a fruit smoothie. You have
your choice of a small, medium, or large smoothie, and
you can include one of the following fruits: strawberries,
bananas, or oranges. How many different choices of
smoothies do you have?
A can help you find
the possible outcomes of an event
by using branching (as seen on
trees) to list choices.
tree diagram
In the Real World
Word Watch
tree diagram, p. 639
B E F O R E
Now
W H Y ?
Tree Diagrams
You used outcomes to find a
probability.
You’ll use a tree diagram to
find all possible outcomes.
So you can find the number of school
lunch combinations, as in Ex. 7.
E X A M P L E
1
Making a Tree Diagram
Make a tree diagram to find all of the possible choices for smoothies.
List the sizes. List the fruit choices List the outcomes.
for each size.
ANSWER
There are 9 different choices of smoothies.
large
strawberry
banana
orange
strawberry
banana
orange
strawberry
banana
orange
small
medium
Make a tree diagram to solve the problem.
1.
You decide to get popcorn at a movie theater. The popcorn comes in
regular, large, and jumbo sizes, and you have your choice of plain or
buttered popcorn. How many choices of popcorn do you have?
Y
our turn now
small strawberry
small banana
small orange
medium strawberry
medium banana
medium orange
large strawberry
large banana
large orange
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