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Teacher III
San Fernando South Central Integrated School
Tanqui, City of San Fernando, La Union
Learning Competency:
The learner solves problems involving
probabilities of simple events.
(M8GE-IVi-j-1)
Let’s Recall:
Give the word and its meaning.
ILITPYOBARB
PROBABILITY
The chance or likelihood that an event will
happen
Let’s Recall:
Give the word and its meaning.
TMENEERXPI
EXPERIMENT
Anything that is repeatedly do where
results may vary even conditions are
similar
Let’s Recall:
Give the word and its meaning.
MALSEP ESCAP
SAMPLE SPACE
The set of all possible outcomes in an
experiment
Let’s Recall:
Give the word and its meaning.
NETEV
EVENT
Any subset of the sample space
Let’s Recall:
Give the word and its meaning.
SEALMP INPTO
SAMPLE POINT
Each outcome of the experiment
Let’s Recall:
Give the word and its meaning.
ALCDINYARIT
CARDINALITY
The number of outcomes in a sample space
or in an event
Let’s Recall:
Give the word and its meaning.
ERSU VETEN
SURE EVENT
Any event that will surely happen
Let’s Recall:
Give the word and its meaning.
SIMOPBILSE EVTEN
IMPOSSIBLE EVENT
Any event that will NOT happen
Let’s Recall:
Give the word and its meaning.
PSLEIM ETENV
SIMPLE EVENT
Any event that has only one outcome
Let’s Recall:
Give the word and its meaning.
DUPOMCON VETEN
COMPOUND EVENT
Any event that has more than one outcome
1. Choose a number (a
positive integer) from 1
to 30.
2. Then tell if the number
appears in each of the
five cards to be shown.
3. Give the teacher a chance
to guess the number.
MENTAL MATH
Question:
If a pregnant woman will give birth to a
child, what is the probability that the child
is a male?
50% or 0.5 or Β½
Simple Event
Find the probability of getting a non-prime and a non-
composite number when rolling a die.
Compound Event
Find the probability of getting an odd number when
rolling a die.
Question:
If a pregnant woman will give birth to a
child, what is the probability that the child
is a male?
𝑃 =
1
2
𝑃 =
π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘“π‘Žπ‘£π‘œπ‘Ÿπ‘Žπ‘π‘™π‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ 
π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘œπ‘ π‘ π‘–π‘π‘™π‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ 
Problem 1:
In a box, there are 4 green balls, 6 blue
balls, and 8 red balls. Find the probability
of getting:
a. a blue ball 𝑃 =
1
3
b. a ball that is not red 𝑃 =
5
9
c. a ball that is blue or red 𝑃 =
7
9
Problem 2:
In a box, there are 20 balls numbered from
1 to 20. If a ball is drawn from the box, find
the probability of getting:
a. an even number 𝑃 =
1
2
b. a prime number 𝑃 =
2
5
c. a number divisible by 3 𝑃 =
3
10
Problem 3:
If a letter is to be selected from the word
MILLENNIALS, find the probability that the
letter is:
a. a vowel 𝑃 =
4
11
b. a consonant 𝑃 =
7
11
Problem 4:
Presently, there are 38 learners in Grade 8-
Fleming. 22 of them are boys. If a learner is
to be chosen from the class, find the
probability that the learner is a:
a. boy 𝑃 =
11
19
b. girl 𝑃 =
8
19
Problem 5:
A family has 3 children. Find the
probability of having:
a. 3 boys 𝑃 =
1
8
b. 2 girls and 1 boy 𝑃 =
3
8
c. the middle child is a boy 𝑃 =
1
2
Group Activity:
1. Divide the class into 5 groups.
2. Ask the groups to name themselves using a
color.
3. Have the groups create a very short yell.
4. Using an Android phone or an iPhone, have
each group log in to kahoot.it.
VALUE INTEGRATION
GENERALIZATION
SEATWORK. Answer the following questions.
1. In rolling a fair die once, what is the probability of getting a number greater
than 4?
2. In rolling a die, what is the probability of getting a number less than 6?
3. There are six β‚±100 bills, one β‚±500 bill, and three β‚±1000 bills in a wallet. If a
peso bill is drawn from the wallet at random, what is the probability that a
β‚±1000 banknote is drawn?
4. There are 4 blue pens, 6 red pens, and 2 green pens in a bag. If a pen is drawn at
random from the bag, what is the probability that a green pen is drawn?
5. A letter is chosen at random from the word FEBRUARY. What is the probability
of getting a consonant?
A.
𝟏
πŸ”
B.
𝟏
πŸ‘
C.
𝟏
𝟐
D.
𝟐
πŸ‘
A.
πŸ‘
πŸ“
B.
𝟏
𝟏𝟎
C.
πŸ‘
𝟏𝟎
D.
𝟏
πŸ‘
A.
𝟏
πŸ‘
B.
𝟏
𝟐
C.
𝟐
πŸ‘
D.
πŸ“
πŸ”
A.
𝟐
πŸ‘
B.
𝟏
πŸ‘
C.
𝟏
𝟐
D.
𝟏
πŸ”
A.
𝟏
πŸ–
B.
πŸ‘
πŸ–
C.
πŸ“
πŸ–
D.
πŸ•
πŸ–
SEATWORK. Answer the following questions.
6. What is the probability of drawing a red heart in a deck of 52 cards?
7. If three coins are flipped at the same time, what is the probability of getting
no tail?
8. A family has three children. What is the probability of getting a last child which
is a boy?
9. In a group of 30 students, 12 of them love Probability and 28 of them love
Statistics. What is the probability of choosing a student who loves both
Probability and Statistics?
10. In a box, there are 24 balls numbered 1 through 24. If a ball is drawn from the
box, what is the probability that the ball shows a number divisible by 5?
A.
𝟏
𝟐
B.
𝟏
πŸ’
C.
𝟏
πŸ–
D.
𝟏
𝟏𝟎
A.
𝟏
πŸ–
B.
𝟏
πŸ’
C.
πŸ‘
πŸ–
D.
πŸ“
πŸ–
A.
𝟏
𝟐
B.
𝟏
πŸ’
C.
πŸ‘
πŸ–
D.
πŸ•
πŸ–
A.
𝟏
πŸ‘
B.
𝟐
πŸ“
C.
πŸ’
πŸπŸ“
D.
πŸ–
πŸπŸ“
A.
𝟏
𝟐
B.
𝟏
πŸ’
C.
𝟏
πŸ”
D.
𝟏
πŸ–
Answer the following questions on probability.
1. On a library shelf, there are three Geometry and five Algebra
books. Books are replaced after someone borrow it. If two
books are taken, what is the probability that the first book is
Geometry and the second book is Algebra?
2. Two sets of cards with a letter on each card as follows are
placed into separate bags.
Bag 1 J O E Y
Bag 2 V A L D R I Z
Alexander randomly picked one card from each bag. What
is the probability that he picked a vowel from Bag 1 and a
consonant from Bag 2?
Probability of Simple and Compound Events
Probability of Simple and Compound Events

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Probability of Simple and Compound Events

  • 1. Teacher III San Fernando South Central Integrated School Tanqui, City of San Fernando, La Union
  • 2. Learning Competency: The learner solves problems involving probabilities of simple events. (M8GE-IVi-j-1)
  • 3. Let’s Recall: Give the word and its meaning. ILITPYOBARB PROBABILITY The chance or likelihood that an event will happen
  • 4. Let’s Recall: Give the word and its meaning. TMENEERXPI EXPERIMENT Anything that is repeatedly do where results may vary even conditions are similar
  • 5. Let’s Recall: Give the word and its meaning. MALSEP ESCAP SAMPLE SPACE The set of all possible outcomes in an experiment
  • 6. Let’s Recall: Give the word and its meaning. NETEV EVENT Any subset of the sample space
  • 7. Let’s Recall: Give the word and its meaning. SEALMP INPTO SAMPLE POINT Each outcome of the experiment
  • 8. Let’s Recall: Give the word and its meaning. ALCDINYARIT CARDINALITY The number of outcomes in a sample space or in an event
  • 9. Let’s Recall: Give the word and its meaning. ERSU VETEN SURE EVENT Any event that will surely happen
  • 10. Let’s Recall: Give the word and its meaning. SIMOPBILSE EVTEN IMPOSSIBLE EVENT Any event that will NOT happen
  • 11. Let’s Recall: Give the word and its meaning. PSLEIM ETENV SIMPLE EVENT Any event that has only one outcome
  • 12. Let’s Recall: Give the word and its meaning. DUPOMCON VETEN COMPOUND EVENT Any event that has more than one outcome
  • 13. 1. Choose a number (a positive integer) from 1 to 30. 2. Then tell if the number appears in each of the five cards to be shown. 3. Give the teacher a chance to guess the number.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. Question: If a pregnant woman will give birth to a child, what is the probability that the child is a male? 50% or 0.5 or Β½
  • 20. Simple Event Find the probability of getting a non-prime and a non- composite number when rolling a die. Compound Event Find the probability of getting an odd number when rolling a die.
  • 21. Question: If a pregnant woman will give birth to a child, what is the probability that the child is a male? 𝑃 = 1 2 𝑃 = π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘“π‘Žπ‘£π‘œπ‘Ÿπ‘Žπ‘π‘™π‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘  π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘π‘œπ‘ π‘ π‘–π‘π‘™π‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ 
  • 22. Problem 1: In a box, there are 4 green balls, 6 blue balls, and 8 red balls. Find the probability of getting: a. a blue ball 𝑃 = 1 3 b. a ball that is not red 𝑃 = 5 9 c. a ball that is blue or red 𝑃 = 7 9
  • 23. Problem 2: In a box, there are 20 balls numbered from 1 to 20. If a ball is drawn from the box, find the probability of getting: a. an even number 𝑃 = 1 2 b. a prime number 𝑃 = 2 5 c. a number divisible by 3 𝑃 = 3 10
  • 24. Problem 3: If a letter is to be selected from the word MILLENNIALS, find the probability that the letter is: a. a vowel 𝑃 = 4 11 b. a consonant 𝑃 = 7 11
  • 25. Problem 4: Presently, there are 38 learners in Grade 8- Fleming. 22 of them are boys. If a learner is to be chosen from the class, find the probability that the learner is a: a. boy 𝑃 = 11 19 b. girl 𝑃 = 8 19
  • 26. Problem 5: A family has 3 children. Find the probability of having: a. 3 boys 𝑃 = 1 8 b. 2 girls and 1 boy 𝑃 = 3 8 c. the middle child is a boy 𝑃 = 1 2
  • 27. Group Activity: 1. Divide the class into 5 groups. 2. Ask the groups to name themselves using a color. 3. Have the groups create a very short yell. 4. Using an Android phone or an iPhone, have each group log in to kahoot.it.
  • 30. SEATWORK. Answer the following questions. 1. In rolling a fair die once, what is the probability of getting a number greater than 4? 2. In rolling a die, what is the probability of getting a number less than 6? 3. There are six β‚±100 bills, one β‚±500 bill, and three β‚±1000 bills in a wallet. If a peso bill is drawn from the wallet at random, what is the probability that a β‚±1000 banknote is drawn? 4. There are 4 blue pens, 6 red pens, and 2 green pens in a bag. If a pen is drawn at random from the bag, what is the probability that a green pen is drawn? 5. A letter is chosen at random from the word FEBRUARY. What is the probability of getting a consonant? A. 𝟏 πŸ” B. 𝟏 πŸ‘ C. 𝟏 𝟐 D. 𝟐 πŸ‘ A. πŸ‘ πŸ“ B. 𝟏 𝟏𝟎 C. πŸ‘ 𝟏𝟎 D. 𝟏 πŸ‘ A. 𝟏 πŸ‘ B. 𝟏 𝟐 C. 𝟐 πŸ‘ D. πŸ“ πŸ” A. 𝟐 πŸ‘ B. 𝟏 πŸ‘ C. 𝟏 𝟐 D. 𝟏 πŸ” A. 𝟏 πŸ– B. πŸ‘ πŸ– C. πŸ“ πŸ– D. πŸ• πŸ–
  • 31. SEATWORK. Answer the following questions. 6. What is the probability of drawing a red heart in a deck of 52 cards? 7. If three coins are flipped at the same time, what is the probability of getting no tail? 8. A family has three children. What is the probability of getting a last child which is a boy? 9. In a group of 30 students, 12 of them love Probability and 28 of them love Statistics. What is the probability of choosing a student who loves both Probability and Statistics? 10. In a box, there are 24 balls numbered 1 through 24. If a ball is drawn from the box, what is the probability that the ball shows a number divisible by 5? A. 𝟏 𝟐 B. 𝟏 πŸ’ C. 𝟏 πŸ– D. 𝟏 𝟏𝟎 A. 𝟏 πŸ– B. 𝟏 πŸ’ C. πŸ‘ πŸ– D. πŸ“ πŸ– A. 𝟏 𝟐 B. 𝟏 πŸ’ C. πŸ‘ πŸ– D. πŸ• πŸ– A. 𝟏 πŸ‘ B. 𝟐 πŸ“ C. πŸ’ πŸπŸ“ D. πŸ– πŸπŸ“ A. 𝟏 𝟐 B. 𝟏 πŸ’ C. 𝟏 πŸ” D. 𝟏 πŸ–
  • 32. Answer the following questions on probability. 1. On a library shelf, there are three Geometry and five Algebra books. Books are replaced after someone borrow it. If two books are taken, what is the probability that the first book is Geometry and the second book is Algebra? 2. Two sets of cards with a letter on each card as follows are placed into separate bags. Bag 1 J O E Y Bag 2 V A L D R I Z Alexander randomly picked one card from each bag. What is the probability that he picked a vowel from Bag 1 and a consonant from Bag 2?