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MATHEMATICS
Quarter 4 – Module 7
Making and Telling The Number of
Favorable Outcomes and Chances
Using Listing and Diagrams
Mathematics – Grade 6
Alternative Delivery Mode
Quarter 4 – Module 7: Making and Telling the Number of Favorable Outcomes
and Chances Using Listing and Diagrams
First Edition, 2020

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Published by the Department of Education Secretary:

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San Antonio

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Module Writer: Graciana G. Handumon
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Mathematics
Quarter 4 – Module 7
Making and Telling The Number
of Favorable Outcomes and
Chances Using Listing and
Diagrams
 I

LEARNING COMPETENCY:
 Makes listings and diagrams of outcomes and tells the
number of favorable outcomes and chances using these
listings and diagrams.

OBJECTIVES:
K: Tells the number of favorable outcomes/chances.
S: Writes the favorable outcomes/chances to the total
number of chances.
A: Have faith in life.

A fair of coin is tossed.

1. What are the possible outcomes?

2. What is the chance of showing head?
3. What is the chance of showing tail?

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 Lesson

Making and Telling The Number of

Favorable Outcomes and Chances
Using Listing and Diagrams

’s In

A day is chosen from a week.

1. What are the possible outcomes?

2. What is the chance of choosing Wednesday?
3. Find the probability of selecting weekends.

’s New

This is a menu posted on the wall of a restaurant.

Burgers Beverages

Hamburgers Coca cola

Cheeseburger Iced Tea
Pizza burger Orange juice
Hot chocolate
Chickenburge
r

1. How many ways can you order for a snack?

2. How many ways can you order for a complete snack?

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3. Solve through the listing method.

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 is It

Suppose you spin the spinner. Make a sample space for

the spin.

Solution:
The spinner can land on 8 different regions. To make
the sample space, list all the possible outcomes of the spin.

Answer: The sample space is:

3,4,5.6.7,8,1,2 Listing Diagrams:

To calculate probability, we need to know all the

different things that happen. A sample space is a list of all
the possible outcomes of an activity or experiments.

Example:
Use the menu to solve through a tree diagram.
HAMBURGER

Regular burger
Cheeseburger
Pizzaburger

BEVERAGES

Juice
Tea

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 There is more than one way to solve this problem.

Solutions:
LISTING: Use R for regular, C for cheese, P for pizza, J for
Juice, and T for tea.

OUTCOMES:
a. R, J b. R, T c. C, J d. C, T e. P, J f. P, T

The list shows there are 6 ways to order snacks.

TREE DIAGRAM:

Outcomes:
Juice Regular Burger and Juice
Regular Burger
Tea Regular Burger and Tea

Juice Cheeseburger and Juice

Snacks Cheeseburger
Tea Cheeseburger and Tea

Juice Pizza Burger and Juice

Pizza Burger
Tea Pizza Burger and Tea

In the diagram, we can see that, or each of the three kinds of

hamburger, there are two beverage choices. Thus,3 x 2 = 6, there
are 6 ways to order snacks.

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 ’s More

Directions: Answer the following questions based on the listing

in finding the possible outcomes.

Phil Jet Airlines offers its flight attendants a variety of

uniform styles from which they can choose. The jackets come
in both red and blue. The blouses come in red, white, and blue.

Uniform

Red Blue

Red
Blue
Red White White Blue

Red Red Red Blue Blue Blue

Jacket Jacket Jacket Jacket Jacket Jacket
Red White Blue Red White Blue
Blouse Blouse Blouse Blouse Blouse Blouse

a. How many uniforms are possible?

b. What are the favorable outcomes of wearing a uniform

with a red jacket and blue blouse?

c. What are the favorable outcomes of wearing a uniform

with red blouse?

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 I Have Learned

I have learned that

It is important to learn the favorable outcomes

through

. I will use my learning

I Can Do

Directions: Find the favorable outcomes by listing. Write the letter

of the correct answer in your notebook.

Kate has 6 blouses and 7 skirts.

1. How many different outfits can she make?

a. 6 outfits b. 7 outfits c. 4 outfits d. 3 outfits

A pair of coin is tossed.

2. What are the favorable outcomes?

a. ones b. two times c. three times d. none

3. What is the chance of showing head?

a. two times b. three times c. ones d. none

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 4. What is the chance of showing tail?
a. three times b. once c. two times d. none

5. Rolling a die, what is the favorable outcome that 7 will

come out.
a. 5 times b. 6 times c. 4 times d. none

Directions: Analyze the statement and identify the letter of the

correct answer.

A Milk Tea shop asked their customers their favorite Milk Tea
and recorded the results.

Flavor Number of Customers

Cookies & Cream 12

Chocolate 27

Strawberry 5

Cucumber 9

1. Find the probability that the next customer will purchase

Strawberry.
a. 53
1
b. 53
5
c. 7
53
d. 53
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2. Find the probability that the next customer will not purchase
Strawberry.
a. 48
4
b. 48
5
c. 8
48
d. 48
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3. Find the probability that the next customer will purchase

Chocolate.
a. 37 b. 35 c. 27 d. 25
53 53 53 53

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4. Find the probability that the next customer purchase cookies &
cream.
a. 53
5
b. 53 c. 12 d. 27
53 9

Directions: Draw a tree diagram based on a given problem.

Assume you are given a 3-question true/false pop quiz! You

have no idea of the answers and decide just to guess on each
question.

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References

Department of Education. Realistic Math 6:

Department of Education. 21st Century Mathletes 6.
Department of Education. Mathematics For Everyday Use 6.

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For inquiries or feedback, please write or call:

Department of Education – Schools Division of Negros Oriental Kagawasan, Avenue, Daro, Du

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