Lesson 5 using a tree diagram.notebook
April 25, 2016
4/25 Problem of the Day
Jaydion is one of 8 skaters competing in the
Skateland Skating Championship. If each
skater is equally likely to win the contest,
what is the probability that Jaydion will NOT
win the skating championship? Express your
answer as a fraction and as a decimal.
Feb 4­9:06 PM
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Lesson 5 using a tree diagram.notebook
April 25, 2016
4/25 Lesson 5: Using a Tree Diagram
In How Likely Is It?, you learned to find all the possible
outcomes of a situation by making an organized list. April
uses a tree diagram to show all the possible outcomes for the
Match/No­Match game. First, she lists the equally likely
outcomes of the first spin.
From each result of the first spin, April draws and labels two
branches to show the possible results of the second spin.
April can read all the possible outcomes of a turn by
following the paths from left to right. For example, she can
follow the upper branch from start to blue, and then from
there, she can follow the upper branch to blue. This path
represents the outcome blue­blue. The right column below
lists the possible outcomes. The outcomes are all equally
likely.
Apr 22­3:21 PM
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Lesson 5 using a tree diagram.notebook
April 25, 2016
A carnival committee is considering using the Red and Blue
game. The game involves choosing one marble at random
from each of two buckets. The first bucket contains one
green, one blue, one red, and one yellow marble. The second
bucket contains one green, one red, and one yellow marble.
Without looking, a player chooses one marble from each
bucket in the Red and Blue game. If the player gets a red and
a blue marble (the order makes no difference), the player
wins. Each player pays $1 to play and receives $3 for each
win.
A. Before playing the game, do you predict that the school will
make money on this game? Explain.
B. Make a tree diagram to show the possible outcomes for this
game. Explain how your tree shows all the possible outcomes.
C. What is the theoretical probability of choosing a red and
blue marble on a turn?
D. Suppose the game is played 36 times.
1. How much money can the school expect to collect?
2. How much money can the school expect to pay out to the
winners?
3. Did the school make money? If so, how much?
E. Suppose one marble is chosen from each bucket. Find the
probability of each situation.
1. You choose a green marble from Bucket 1 and a yellow
marble from Bucket 2.
2. You do not choose a blue marble from either bucket.
3. You choose two blue marbles.
4. You choose at least one blue marble.
Apr 22­3:28 PM
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Lesson 5 using a tree diagram.notebook
April 25, 2016
tree diagram ­ each path shows a possible
outcome. Each branch of the tree shows
the probability of an event.
A travel agent plans trips for tourists from Chicago to Miami. He gives them three ways to get from town to town: airplane, bus, train. Once the tourists arrive, there are two ways to get to the hotel: hotel van or taxi. The cost of each type of transportation is given in the table below.
1. Draw a tree diagram to illustrate the possible choices for the tourists. Determine the cost for each outcome.
2. If these six outcomes are chosen equally by tourists, what is the probability that a randomly selected tourist travel in a bus?
3. What is the probability that a person's trip costs less than $300?
4. What is the probability that a person's trip costs more than $350?
5. If the tourists were flying to New York, the subway would be a third way to get to the hotel. How would this change the number of outcomes?
Feb 4­9:36 PM
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Lesson 5 using a tree diagram.notebook
April 25, 2016
Andy has asked his girlfriend to make all of the decisions for their date on her birthday. She will pick a restaurant and an activity for the date. Andy will choose her gift for her. The local restaurants include Mexican, Chinese, and Italian. The activities she can choose from are miniature golf, bowling, and movies. Andy will buy her either candy or flowers.
1. Draw a tree diagram to illustrate the choices.
2. How many outcomes are there for these three decisions?
3. What is the probability that Andy's girlfriend will choose Mexican, bowling, and flowers?
4. What is the probability that they will NOT choose Italian, choose miniature golf, and choose candy or flowers?
Feb 4­9:38 PM
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Lesson 5 using a tree diagram.notebook
April 25, 2016
Assignment: Lesson 5 Using a Tree Diagram
Worksheet
Feb 4­9:39 PM
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