= GRADE 1-12
DAILY LESSON
LOG
I. OBJECTIVES
A. Content Standard
B. Performance Standard
C. Learning
Competencies/Objectives
Write the LC code for each.
School
Teachers
Teaching Dates
Grade Level
Learning Area
Quarter
10
MATHEMATICS
THIRD
MONDAY
TUESDAY
WEDNESDAY
THURDAY
FRIDAY
Objectives must be met over the week and connected to the curriculum standards. To meet the objectives necessary procedures must be
followed and if needed, additional lessons, exercises, and remedial activities may be done for developing content knowledge and competencies.
These are assessed using Formative Assessment strategies. Valuing objectives support the learning of content and competencies and enable
children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides.
.
The learner demonstrates understanding of the key concepts of combination and probability.
The learner is able to use precise counting technique and probability in formulating conclusions and
making decisions.
The learner illustrates
The learner finds the
The learner illustrates
The learner solves
the probability of a union probability of (A U B).
mutually exclusive events. problems involving
of two events.
(M10SP-IIIg-h-1)
(M10SP-IIIi-1)
probability.
(M10SP-IIIg-1)
a. Illustrates mutually and
(M10SP-IIIi-j-1)
a. Illustrate the
not mutually exclusive
a. Identify
probability of a union and events.
a. Illustrate mutually
dependent and
intersection of two
b. Find the probability of
exclusive events and
independent event.
events.
mutually and not mutually
not mutually exclusive
b. Differentiate
b. Find the probability of exclusive events.
events.
dependent events
a union and intersection c. Value accumulated
b. Differentiate
from independent
of two events.
knowledge as means of
mutually exclusive
events and vice
c. Appreciate the
understanding
events from not
versa.
relationship of the union
mutually exclusive
c. Relate probability
and intersection of two
events.
of independent and
events in real-life
c. Appreciate the
dependent events to
situation.
concept of mutually
real life through
exclusive events and
differentiated
not mutually exclusive
activities.
events in formulating
50
conclusions and
making decisions.
II.
CONTENT
Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach in the CG, the content can be tackled
in a week or two.
Probability of Union
and Intersection of Two
Events
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Materials pages
3. Textbook pages
pages 290 – 291
pages 328 – 335
Grade 10 Mathematics
Patterns and
Practicalities, Gladys c.
Nivera, Ph. D. and Minie
Rose C. Lapinid, Ph. D.,
pages 349 – 365
Topic: Mutually and Not
Mutually Exclusive
Events
(Finding the Probability
of Mutually and Not
Mutually Events)
292-293
335-337
B. Other Learning Resource
pages 291-293
pages 336-337
Independent and
Dependent Events
296 – 300
341 – 345
Exploring Math 10 by
Baccay, Elisa S. et al
pp 322-326
4. Additional Materials from
Learning Resource
(LR)portal
PowerPoint Presentation
Mutually Exclusive
and Not Mutually
Exclusive Event
Picture, clips, chalk-board
and pen and paper
https://www.youtube.com Electronic
/watch?v=2aaD-hP_m7U Sources:https://www.goog
www.mathgoodies.com
le.com.ph/search?site=web
hp&tbm=isch&q=playing+c
LCTG
Speaker,
PowerPoint Presentation
Show me board
www.thevirtualschool.com
https://www.mathsisfun.com
/data/probability-eventsmutually-exclusive.html
PowerPoint Presentation
Basket/Bag
Different Chocolates
Speaker
Upbeat Music
Show-Me Boards
http://www.statisticshowto
.com/wpcontent/uploads/2009/09/
51
ards&spell=17sa=X&ved=0
ahUKEwjJ3dOKoffPAhWG
TLwKHXHCDZoQvwUIHig
A
https://www.mathsisfun.co
m/data/probability-evetsmutually-exclusive.html
IV.
PROCEDURES
A. Reviewing previous lesson or
presenting the new lesson
www.analyzemath.com
www.worksheet.tutorvista.c
om
http://study.com/academyle
sson/mutuallyexclusive
https://mlcompton.files.word
press.com/2010/09/sheet73mutexnonmutex.pdf
https://www.google
.com/search?
dependent-orindependent-event.jpg
PASS THE BASKET
Materials:
- 2 basket/bag
- 3 white
GROUP WORK (Use show
chocolate
me board)
(2 sets)
2 dark
Jumbled Word
chocolate
Activating Learner’s Prior
Rearrange the set of letters
(2 sets)
Knowledge:
to form a new word related
- 4 milk
Fact or a Bluff?
to probability.
chocolate
If a card is drawn from an 1. inoun
(2 sets)
ordinary deck of 52 cards, 2. ritenecitson
- speaker
Each suit includes an find
3. veten
ace, ranks 2 through 10, the probability that the
- Music
4. myultalu
a jack, a queen and a card is
player
5. esculixve
king.
a. a red card?
Mechanics:
b. a diamond card of a
If a card is drawn from a
Game 1
black card?
1. Place the chocolates
well-shuffled deck of
c. a diamond card or a
cards, find the probability face card?
inside a basket/bag.
of drawing:
2. Pass the basket
around while the music is
a. an ace = 4/52or 1/13
playing.
A standard deck of 52
playing cards includes 13
ranks of each of the four
suits: club (♣), spade
(♠), diamond (♦) and
heart
(♥).
52
3. Once the music stops,
the person holding the
basket/bag will have to
pick one chocolate,
returns it, then pick again.
4. Repeat steps 2-3 for 3
rounds.
b. a diamond = 13/52or
¼
c. a face card = 12/52or
3/13
d. a black card = 26/52or
½
Game 2
1. Place the chocolates
inside a basket/bag.
2. Pass the basket
around while the music is
playing.
3. Once the music stops,
the person holding the
basket/bag will have to
pick one chocolate, eats
it, then pick again.
4. Repeat steps 2-3 for 5
rounds.
e. a queen = 4/52or 1/13
f. a red ace = 2/52or 1/26
B. Establishing a purpose for the
lesson
Group Activity
110 grade 10 students
from Indang National
High
School
are
interviewed if they are
willing to join either
volleyball
or
basketball
in the
upcoming sports fest.
Shown here is the result
of the survey.
GROUP WORK
Present
the
following
Developmental Activity:
pictures. Let the students
From the previous activity
choose. (Use show me
using the same deck of
board)
cards, let us illustrate
mutually exclusive events .
1. Which road will you take?
a. a number from 2 to 5 or
Left or right?
a face card
b. a face card or a black
card
PROCESSING:
1. How did you find the
activity?
2. Compare Game 1 and
Game 2.
3. In game 1, what is the
probability of getting a
white chocolate in the
first draw? If you return
53
SPORT
VOLL
EYB
ALL
BASKE
TBALL
VOLLE
YBALL
and
BASKE
TBALL
NUMBE
R OF
STUDE
NTS
22
44
33
Construct
a
Venn
Diagram
a. What
is
the
probability of the
students who are
willing
to
join
volleyball?
b. What
is
the
probability of the
students who are
willing
to
join
volleyball only?
c. What
is
the
probability of the
students who are
willing
to
join
basketball?
d. What
is
the
probability of the
students who are
willing
to
join
basketball only?
e. What
is
the
probability of the
students who are
willing
to
join
2. Cold or Hot?
3. To pass the test or to fail?
4. Paying Dota or study your
lesson?
5. Mahal ko o Mahal ako?
the chocolate you’ve
picked on the first draw,
what would be the
probability of getting a
dark chocolate on the
second draw?
4. In game 2, what is the
probability of getting a
white chocolate in the
first draw? If you ate the
chocolate you’ve picked
on the first draw, what
would be the probability
of getting a dark
chocolate on the second
draw?
5. In game 1, is the
probability of getting a
dark chocolate affected
by the white chocolate?
What about in game 2?
6. How would you
describe the events in
game 1? What about the
events in game 2?
54
f.
volleyball
basketball?
What
is
probability of
students who
willing
to
volleyball
basketball?
and
the
the
are
join
or
*The illustration will be…






What
do
you
observed about the
activity?
Was it easy for you
to decide what
event to choose?
Is it possible to
choose both?
Can it happen at
the same time?
What do you call an
event that can
happen at the same
time?
What do you call an
event that cannot
happen at the same
time?
a. P(B) To find P(B), we
will add the
probability
that only B occurs to
the
probability that B and V
occur,
thus P(B)
= 0.4 + 0.3 = 0.7
b. P(V) Similarly, P(V)=
0.2 + 0.3 = 0.5
c.
55
Now,
is the value 0.3 in
the
overlapping region.
d. P(B∪V)
Thus,
P(B∪V)=P(B)+P(V)P(B∩V)
=0.7 + 0.5 - 0.3 = 0.9
C. Presenting examples/Instances
of the new lesson
Max rolled a fair die and
wished to find the
probability
of
“the
number that turns up is
even or number greater
than 3”
Solution:
Sample Space: {1, 2, 3,
4, 5, 6}
From
the
given
statement, A = {2, 4, 6}
and B={4, 5, 6} then the
number that turns up is
even and number greater
than 3,
={4, 6}.
Mutually exclusive events
are events that have no
common outcomes. Not
mutually exclusive events
are exact opposite of
mutually exclusive events.
Present a video about In game 1, the probability
mutually exclusive events of getting a dark
and answer the following:
chocolate in the second
draw is
Guided questions
not affected by the
1. What do you call an event probability of drawing a
white chocolate on the
that can’t happen at the
first draw, since the
same time?
first chocolate is put back
2. What are the examples
inside the basket/bag
presented in the video?
3. What do you call an event prior to the second draw.
Thus, the two events are
that can happen at the
independent of each
same time?
other.
Examples:
Turning left and turning right
are Mutually Exclusive (you
Two
events
are
independent if the
outcome of one event
does not affect the
outcome of the other
event.
56
So, the probability of “
the number that turns up
is even or number
greater than 3”
∪
∪
Max rolled a fair die and
wished to find the
probability of “ the
number that turns up is
odd or even”
Solution:
Sample Space: {1, 2, 3,
4, 5, 6}
can't do both at the same
time)
When the outcome of one
event affects the outcome
of another event, they are
dependent events.
Tossing a coin: Heads and
In game 2, the white
Tails are Mutually Exclusive.
chocolate was not placed
back in the basket, then
drawing
the
two
Cards: Kings and Aces are
chocolates would have
Mutually Exclusive
been dependent events.
What is not Mutually
Exclusive:

Turning left and
scratching your head
can happen at the same
time

Kings and Hearts,
because we can have a
King of Hearts!
It can also be presented
From
the
given
statement, A = {1, 3, 5}
and B={2, 4, 6} then the
number that turns up is
odd and even
=
{}.
using Venn diagram
Like here:
57
So, the probability of “the
number that turns up is
odd or even”
∪
∪
or
∪
Aces and
Kings are
Mutually
Exclusive
(can't be
both)
Hearts and
Kings are
not Mutuall
y
Exclusive
(can be
both)
∪
Max rolled a fair die and
wished to find the
probability of the number
divisible by 5 turns up or
the number of odd turns
up”.
Sample Space: {1, 2, 3,
4, 5, 6}
58
From
the
given
statement A = {5} and
B={1, 3, 5} then the
number that turns up is
odd and divisible by
5,
={5}.
So, the probability of “the
number divisible by 5
turns up or the number of
odd turns up”
∪
∪
or
∪
∪
Analysis
a. How to find the
probability of an event?
b. How to find the
probability of union of
two events, if two events
have
elements
in
common?
c. How to find the
probability of union of
two events, if two events
have no elements in
59
common?
d. How to find the
probability of union of
two events, if event A is
a subset of event B?
D. Discussing new concepts and
practicing new skills # 1
Think Pair Share
A card is drawn at
random from a standard
deck of cards. What is
the probability of getting
a jack or a spade?
Illustrative Example`1:
From a deck of 52 cards,
what is the probability that
the card is a number from
2 to 5 or a face card?
The event of a number
from 2 to 5 is drawn and
the event of a face card is
drawn have no elements in
common, hence these are
mutually exclusive events.
Let A be the event that a
number from 2 to 5 is
drawn.
Let F be the event that a
face card is drawn.
THINK-PAIR-SHARE
Determine whether the
events are independent or
dependent.
1. A bag contains 6 black
marbles, 9 blue marbles, 4
yellow marbles, and 2 green
marbles. A marble is
randomly
selected,
replaced, and a second
marble
is
randomly
selected.
Find
the
probability of selecting a
black marble, then a yellow
marble.
2. A box of chocolates
contains 10 milk chocolates,
8 dark chocolates, and 6
white chocolates. Hanissa
randomly
chooses
a
chocolate, eats it, and then
randomly chooses another
chocolate. What is the
probability that Hanissa
chose a milk chocolate, and
THINK-PAIR-SHARE
Analyze the given
problem.
In how many ways can a
coach assign the starting
positions in a basketball
game to nine equally
qualified men?
60
then, a white chocolate?
Illustrative Example 2:
From a deck of 52 cards,
what is the probability that
the card is a face card or a
black card?
The event of a face card is
drawn and a black card is
drawn have some
elements in common, i.e. a
black face card. Therefore
these are non-mutually
exclusive events.
Let F be the event that a
face card is draw
E. Discussing new concepts and
practicing new skills # 2
a. How many jack cards
are there in the deck of
cards? ____
b. How many spade
cards are there in the
deck of cards? __
c. Is there a jack card
that is also spade card?
If there is how many
cards are jack card that
are
also
spade
card?______
d. What is the probability
3. A rental agency has 12
white cars, 8 gray cars, 6
red cars, and 3 green cars
for rent. Mr. Escobar rents a
car, returns it because the
radio is
broken, and gets another
car. What is the probability
that Mr. Escobar is given a
green car and then a gray
car?
Refer to the diagram below
to be guided on how to
identify dependent and
independent events.
1. How did you find the
activity?
2. What concepts of
permutations did you use
to solve the problem?
3. How did you apply the
principles of permutation
in solving the problem?
4. Can you cite other reallife problems that can be
61
of drawing a jack card?
_____
e. What is the probability
of drawing a spade card?
____
f. What is the probability
of drawing a jack card
that is also a spade
card? _____
g. Use
∪
solved using permutation?
, to find the
probability of getting a
jack or a spade. Let A be
the events of getting a
jack cad and B the event
of getting spade card
P(A) = ____
P(B) =
____ P(A ∩ B) =
_____
∪
F. Developing mastery
(leads to Formative Assessment 3)
1. What is the probability
of drawing a card that is
either a diamond or an
ace from a standard
deck of 52 cards?
2. What is the probability
of rolling either a 7 or 11
from a pair of dice?
A card is drawn from a deck
During the second of cards. Events E1, E2, E3,
week of October, E4, and E5 are defines as
some areas in the follows;
province of Cavite
E1 Getting an 8.
experienced
E2 Getting a King
Chikungunya
outbreak
(mosquito E3 Getting a face card
borne viral disease). E4 Getting an ace
E5 Getting a heart
In response to the
Independent Practice
(Use of show-me board)
Determine if the event is
dependent
or
independent. Write your
answer on your show-me
board.
1. A bag contains 6
black marbles, 9 blue
62
problem, Gov. Crispin
“Boying”
Remulla
through
the
Red
Cross ran a blood
donation drive. Fifty
volunteer
students
donated blood with
these results.
Blood Type
O
A
Number of Students
Who Donated Blood
2
6
1
6
B
6
A
B
2
If given the chance
will you also donate
blood?
Using the result of the
Blood Donation Drive,
what is the probability
of the blood type for a
randomly selected
donor?
a. Type AB blood
b. Type O blood
c. Type B blood
d. Type A or B blood
e. Type A,B or O
blood
a. Are events E1 and E2
Mutually exclusive or not?
b. Are events E2 and E3
Mutually exclusive or not?
c. Are events E3 and E4
Mutually exclusive or not?
d. Are events E4 and E5
Mutually exclusive or not?
e. Are events E5 and E1
Mutually exclusive or not?
marbles,
4
yellow
marbles, and 2 green
marbles. A marble is
randomly
selected,
replaced, and a second
marble is randomly
selected.
Find
the
probability of selecting a
black marble, then a
yellow marble.
2. A box of candies
contains
10
yema
candies, 8 sampaloc
candies, and 6 bucayo
candies.
Eduardo
randomly chooses a
candy, eats it, and then
randomly
chooses
another candy. What is
the probability
that
Eduardo chose a yema
candy, and then a
sampaloc candy?
3. A toy box contains 12
toys, 8 stuffed animals,
and 3 board games.
Maria
randomly
chooses 2 toys for the
child she is babysitting
to play with. What is the
probability that she
chose 2 stuffed animals
as the first two choices?
63
4. A basket contains 6
dalandan, 5 bananas, 4
lansones,
and
5
guavas.
Dominic
randomly chooses one
piece of fruit, eats it,
and chooses another
piece of fruit. What is
the probability that he
chose a banana and
then a dalandan?
5. Nick has 4 black pens,
3 blue pens, and 2 red
pens in his school bag.
Nick randomly picks two
pens out of his school
bag. What is the
probability that Nick
chose two blue pens, if
he replaced the first pen
back in his pocket before
choosing a second pen?
G. Finding practical application of
concepts and skills in daily living
GROUP ACTIVITY
Each group will be given
an activity sheet that
they need to accomplish
within 5 minutes. A 3minute presentation of
group output will be done
after the allotted time.
Answer the following
problems.
DRILL AND PRACTICE
GROUP ACTIVITY
Determine if each event is
There are a total of 48 mutually exclusive or non- Group students into four.
students in Grade 10 – St. mutually exclusive.
Joseph. Twenty are boys
Each group will be given 5
and 28 are girls.
1. Probability of selecting a minutes to plan for their
presentation. Then, 31. If a teacher randomly boy or a blond-haired
person
from
12
girls,
5
of
minute presentation of
selects a student to
represent the class in a whom have blond hair, and group output will be done
after the allotted time.
school meeting, what is the 15 boys, 6 of whom have
64
probability that a
Consider the situations a. boy is chosen?
below and answer the
b. girl is chosen?
questions that follow.
2. Suppose that a team of
GROUP 1
3 students is formed such
Dario puts 44 marbles that it is composed of a
in a box in which 14 are team leader, a secretary,
red, 12 are blue, and 18 and a spokesperson. What
are yellow. If Dario picks is the probability that a
one marble at random, team formed is composed
what is the probability of a girl secretary?
that he selects a red
marble or a yellow 3. A bag contains 12 blue,
3 red, and 4 white marbles.
marble?
What is the probability of
drawing
GROUP 2
Out
of
5200 a. in 1 draw, either a red,
households surveyed, white, or blue marble?
2107 had a dog, 807 had
a cat, and 303 had both b. in 2 draws, either a red
a dog and a cat. What is marble followed by a blue
the probability that a marble or a red marble
randomly
selected followed by a red marble?
household has a dog or
a cat?
GROUP 3
A box contains 6
white balls, 5 red balls
and 4 blue balls. What is
the probability of drawing
a red ball or white ball?
blond hair.
2. Probability of tossing two Team Angel Locsin
dice and showing at least
Role play a real life
one 4.
scenario that shows
independent events.
3. Mr. Nataniel Cruz
popularly known as Mang Team Marian Rivera
Tani, weather forecaster in
Role play a real life
GMA 7, states that the scenario that shows
probability of rain in Cavite dependent events.
is 3/5, the probability of
lightning is 2/5, and the Team Jessica Soho
probability of both is 1/5. Is
Newscast an event
the probability of a sporting that shows independent
event (Provincial MEET) event.
being cancelled due to rain
or lightning a mutually Team Korina Sanchez
exclusive event or not?
Newscast an event
that shows dependent
4. Of 240 students on event.
Special Science Curriculum
in Rosario, National High
School, 176 are on the
honor roll, 48 are members
of Teatro de Salinas, and 36
are in the honor roll and are
also members of Teatro de
Salinas. Is the probability
that a randomly selected
student is on honor roll or
on Teatro de Salinas a
mutually exclusive event or
not?
GROUP 4
5. Redlocks bakery sells
65
A cube with A, B, C,
D, E, and F on its faces
is rolled. What is the
probability of rolling a
vowel of a letter in the
word FRAUD?
GROUP 5
A die is rolled. What is
probability of getting an
even or a factor of 2?
H. Making generalizations and
abstractions about the lesson
Mutually exclusive events
A and B are events which
do not have any common
outcome. The probability
that A or B will happen is
by
They can be formed in given
two ways:
• Union-the union of two
events A and B, denoted Non-mutually exclusive
as A∪B, is the event that events A and B are events
occurs if either A or B or which share at least one
both occur on a single common outcome. The
performance
of
an probability that A or B will
experiment.
happen is given by
• Intersection – the
intersection
of
two
events A and B, denoted
as A B, is the event that
Compound events –
defined as a composition
of two or more other
events
slices of cake to their
costumer. Mrs. Analisa
Dalangin, a mathematics
teacher
in
Eskwela
Sekondarya de Salinas
bought 10 slices of
chocolate cake, 8 slices of
mocha cake, and 12 slices
of caramel cake. After
buying the cakes, Mrs.
Dalangin eats it. Is the
probability that she will
choose a chocolate or a
mocha cake a mutually
exclusive event or not?
Mutually Exclusive Events
– events that have no
outcomes in common. This
also means that if two or
more events are mutually
exclusive, they cannot
happen at the same time.
Not Mutually Exclusive
Events - events that have
outcomes in common.
Events can happen at the
same time.
Two
events
are
independent if the
outcome of one event
does not affect the
outcome of the other
event.
When the outcome of one
event affects the outcome
of another event, they are
dependent events.
66
occurs if both A and B
occur on a single
performance of the
experiment.
I. Evaluating learning
Solve the following
Directions: Read each problems.
question below. Write the
letter of the correct 1. A restaurant serves a
answer on your paper. bowl of candies to their
Use the back portion of customers. The bowl of
the answer sheet for candies Gabriel receives
has 10 chocolate candies,
your solution.
8 coffee candies, and 12
1. A day of the week is caramel candies. After
chosen at random. What Gabriel chooses a candy,
is the probability of he eats it. Find the
choosing a Monday or probability of getting
candies with the indicated
Tuesday?
A. 1/7
B. 2/14
C. flavors.
2/7 D. none of the above
a. P (chocolate or coffee)
b. P (caramel or not coffee)
2. In a pet store, there c. P (coffee or caramel)
are 6 puppies, 9 kittens, d. P (chocolate or not
4
gerbils
and
7 caramel)
parakeets. If a pet is
chosen at random, what 2. Rhian likes to wear
MULTIPLE CHOICE:
Identify whether the
Choose the letter of the best events are independent or
answer.
dependent.
1. Which of the following is
a mutually exclusive event?
a. Drawing a queen
or diamond from a
standard deck of
cards.
b. Rolling a 3 or 4 on
a single roll of
number cube?
c. Rolling a number
greater than 8 and
rolling an even
number when a
pair of dice is
rolled.
d. A card selected
from a deck will be
either an ace or a
1. A bag of beans
contains 10 Patani seeds,
6 Kasoy seeds, 7 Cacao
seeds, and 5 Langka
seeds. What is the
probability of randomly
choosing a patani seed,
replacing it, randomly
choosing another patani,
replacing it, and then
randomly choosing a
langka seed?
2. Rene and Cris went to
a grocery store to buy
drinks. They chose from
10 different brands of
juice drinks, 6 different
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is the probability of colored shirts. She has 15
choosing a puppy or a shirts in the closet. Five of
parakeet?
these are blue, four are in
A.
B. ½
C. different shades of red,
11/26
D. none of the and the rest are of different
colors. What is the
above
probability that she will
3. The probability of a wear a blue or a red shirt?
teenager owning a 3. Mark has pairs of pants
skateboard is 0.37, of in three different colors,
owning a bicycle is 0.81 blue, black, and brown. He
and of owning both is has 5 colored shirts: a
0.36. If a teenager is white, a red, a yellow, a
chosen at random, what blue, and a mixed-colored
is the probability that the shirt. What is the
teenager
owns
a probability that Mark wears
skateboard or a bicycle? a black pair of pants and a
A. 1.18
B. 0.7
C. red shirt on a given day?
0.82 D. none of the above
4. A motorcycle licence
plate has 2 letters and 3
numbers. What is the
probability that a
motorcycle has a licence
plate containing a double
C. 1/5 letter and an even
number?
4. A number from 1 to 10
is chosen at random.
What is the probability of
choosing a 5 or an even
number?
A. 3/5
B. ½
D. all of the above
5. A single 6-sided die is
rolled. What is the
probability of rolling a
number greater than 3 or
an even number?
A. 1
B. 2/3
C. 5/6
D. none of the above
spade.
2. Which of the following is
a mutually exclusive event?
a. A card selected
from a deck will be
either a black or a
king.
b. A card selected
from a deck will be
either a queen or a
king.
c. A card selected
from a deck will be
either an ace or a
king.
d. A card selected
from a deck will be
either an ace or a
spade.
3. Which of the following is
not mutually exclusive
event?
a. Toss a coin and
rolling a number
cube.
b. Rolling a 3 or 5 on
a single roll of a
number cube.
c. Drawing a 3 and a
diamond from a
standard deck of
cards.
d. Rolling a number
brands of carbonated
drinks, and 3 different
brands of mineral water.
What is the probability
that Rene and Cris both
chose juice drinks, if Rene
randomly chose first and
liked the first brand he
picked up?
3. As part of the
recreational
activities
done during the Teacher’s
Day celebration, faculty of
GFMNHS goes bowling at
Mall of Asia (MOA). On
one shelf of the bowling
alley there are 6 green
and 4 red bowling balls.
One teacher selects a
bowling ball. A second
teacher then selects a ball
from the same shelf. What
is the probability that each
teacher picked a red
bowling
ball
if
replacement is allowed?
4. Juan’s mp3 playlist has
7 dance tracks and 3 rock
tracks. What is the
probability that his player
randomly selects a dance
track followed by a rock
track?
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greater than 3 or a
multiple of 3 when 5. At the Tire Store, 5 out
a pair of dice is of every 50 tires are
rolled.
defective. If you purchase
4 tires for your vehicle
4. Which one of the and they are randomly
following events is mutually selected from a set of 50
exclusive?
newly shipped tires, what
a. a dice rolling a 4
is the probability that all
b. a dice rolling 3 and four
tires
will
be
then 4
defective? (Once chosen,
c. a pair of dice the tires are not replaced).
rolling 4 and 2
d. a pair of dice
rolling 6 and 6
J. Additional activities for application
or remediation
Follow-up
I. Follow-up
Suppose there are three
A bowl contains 15 chips events A, B, and C that are
numbered 1 to 15. If a not mutually exclusive. List
5. Which of these is a
mutually non exclusive
event?
a. rolling an 8 on a six
sided die
b. getting four 5 balls
in a row from the
same
lottery
machine with 35
balls
c. getting a head and
a tail
d. rolling a 3 on a 3
sided die
(To be posted in the class
FB Group)
A. Follow Up
Create 2 situations
A. Follow-up
illustrating independent
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chip is drawn randomly
from the bowl, what is
the probability that it is
a. 7 or 15?
b. 5 or a number
divisible by 3?
c. even or divisible by 3?
d. a number divisible by
3 or divisible by 4?
II. Study: Mutually
Exclusive Events
all the probabilities you
would need to consider in
order to calculate
. Then,
write the formula you
would use to calculate the
probability.
Explain why subtraction is
used when finding the
probability of two events
that are not mutually
exclusive.
Determine whether the
events
are
mutually
exclusive or not mutually
exclusive.
1. Mr. Juanito, has 45 red
chips, 12 blue chips, and 24
white chips. What is the
probability that Mr. Juanito
randomly selects a red chip
or a white chip?
2. Mrs. Ruby’s dog has 8
puppies. The puppies
include white females, 3
mixed-color females, 1
Study : Independent and
white male, and 2 mixedDependent Events
color males. Mrs. Ruby
Define (1) Independent
Events; and (2) Dependent wants to keep one puppy.
What is the probability that
Events.
Why the outcome of the flip she randomly chooses a
puppy that is female and
of a fair coin is
white?
independent of the flips
3. Chris basketball shooting
that came before it?
records indicate that for any
frame, the probability that
he will score in a two-point
shoot is 30%, a three-point
shoot, 45%, and neither,
25%. What is the probability
that Cindy will score either
in a two-point shoot or in a
three-point shoot?
events and 2 situations for
dependent events
B. Study:
1. How is the probability
of independents event
calculated?
2. How is the probability
of independents event
calculated?
B. Advance
1. Study the probability of
mutually exclusive and not
70
mutually exclusive events.
2. What is the formula in
finding the probability of
mutually exclusive and not
mutually exclusive events?
3. How to solve the
probability of mutually
exclusive and not mutually
exclusive events?
1. REMARKS
2. REFLECTION
Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress this week. What works? What
else needs to be done to help the students learn? Identify what help your instructional supervisors can provide for you so when
you meet them, you can ask them relevant questions.
A. No. of learners who earned 80%
in the evaluation
B. No. of learners who require
additional activities for
remediation who scored below
80%
C. Did the remedial lessons work?
No. of learners who have caught
up with the lesson
D. No. of learners who continue to
require remediation
E. Which of my teaching strategies
worked well? Why did these
work?
F. What difficulties did I encounter
which my principal or supervisor
can help me solve?
G. What innovation or localized
materials did I use/discover
which I wish to share with other
teachers?
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