probability of simple and compound events. Solve problems involving simple and compound events

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
The chance or likelihood that an event will
happen
PROBABILITY

4. Let’s Recall:
Give the word and its meaning.
TMENEERXPI
Anything that is repeatedly do where
results may vary even conditions are
similar
EXPERIMENT

5. Let’s Recall:
Give the word and its meaning.
MALSEP ESCAP
The set of all possible outcomes in an
experiment
SAMPLE SPACE

6. Let’s Recall:
Give the word and its meaning.
NETEV
Any subset of the sample space
EVENT

7. Let’s Recall:
Give the word and its meaning.
SEALMP INPTO
Each outcome of the experiment
SAMPLE POINT

8. Let’s Recall:
Give the word and its meaning.
ALCDINYARIT
The number of outcomes in a sample space
or in an event
CARDINALITY

9. Let’s Recall:
Give the word and its meaning.
ERSU VETEN
Any event that will surely happen
SURE EVENT

10. Let’s Recall:
Give the word and its meaning.
SIMOPBILSE EVTEN
Any event that will NOT happen
IMPOSSIBLE EVENT

11. Let’s Recall:
Give the word and its meaning.
PSLEIM ETENV
Any event that has only one outcome
SIMPLE EVENT

12. Let’s Recall:
Give the word and its meaning.
DUPOMCON VETEN
Any event that has more than one outcome
COMPOUND EVENT

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.

14. MENTAL MATH

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 ½

21. 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.

22. 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 =
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠

23. 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
b. a ball that is not red
c. a ball that is blue or red
𝑃 = 1
3
𝑃 = 5
9
𝑃 = 7
9

24. 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
b. a prime number
c. a number divisible by 3
𝑃 = 1
2
𝑃 = 2
5
𝑃 = 3
10

25. Problem 3:
If a letter is to be selected from the word
MILLENNIALS, find the probability that the
letter is:
11
a. a vowel 𝑃 = 4
b. a consonant 𝑃 = 7
11

26. 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:
𝑃 = 11
a. boy
b. girl
19
𝑃 = 8
19

27. Problem 5:
A family has 3 children. Find the
probability of having:
a. 3 boys
b. 2 girls and 1 boy
c. the middle child is a boy
𝑃 = 1
8
𝑃 = 3
8
𝑃 = 1
2

28. 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.

29. VALUE INTEGRATION

30. GENERALIZATION

31. 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 ₱100 bills, one ₱500 bill, and three ₱1000 bills in a wallet. If a
peso bill is drawn from the wallet at random, what is the probability that a
₱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?
𝟏
A. 𝟔
𝟏
B. 𝟑
𝟏
C. 𝟐
𝟐
D. 𝟑
𝟑
A. 𝟓
𝟏
B. 𝟏𝟎
𝟑
C. 𝟏𝟎
𝟏
D. 𝟑
𝟏
A. 𝟑
𝟏
B. 𝟐
𝟐
C. 𝟑
𝟓
D. 𝟔
𝟐
A. 𝟑
𝟏
B. 𝟑
𝟏
C. 𝟐
𝟏
D. 𝟔
𝟏
A. 𝟖
𝟑
B. 𝟖
𝟓
C. 𝟖
𝟕
D. 𝟖

32. 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?
𝟏
A. 𝟐
𝟏
B. 𝟒
𝟏
C. 𝟖
𝟏
D. 𝟏𝟎
𝟏
A. 𝟖
𝟏
B. 𝟒
𝟑
C. 𝟖
𝟓
D. 𝟖
𝟏
A. 𝟐
𝟏
B. 𝟒
𝟑
C. 𝟖
𝟕
D. 𝟖
𝟏
A. 𝟑
𝟐
B. 𝟓
𝟒
C. 𝟏𝟓
𝟖
D. 𝟏𝟓
𝟏
A. 𝟐
𝟏
B. 𝟒
𝟏
C. 𝟔
𝟏
D. 𝟖

33. 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?