The document discusses a statistics and probability class that includes the following: - Several introductory and classroom activities to introduce probability concepts like determining the probability of outcomes and identifying sample spaces. - An activity calculating the probabilities of different numbers of defective cellphones out of three samples. - Another activity determining the probabilities of different numbers of "puto cheese" food packs being delivered each day based on sample data. - Questions are provided to help abstract and generalize the probability concepts to new scenarios like the chances of customer purchases or weather for ocean fishing.

1. Statistics & Probability

2. Prayer
"In accordance with your will, Lord, we begin
our learning journey. Grant us knowledge and
enthusiasm as we start this class. We pray that
you enrich our thoughts and wisdom through
daily prayers. Amen."

3. Checking of Attendance &
Setting

4. WARM – UP EXERCISE

5. CLASSROOM NORMS

6. Objectives:
•L1: Recall how to calculate the probability
of an event occurring.
•L2: Identify the sample space of an event.
•L3: Relate the frequency of each possible
value to the total number of occurrences
•L4: Calculate probabilities corresponding to
a given random variable.

7. Introductory Activity
Probability Memory Challenge

8. Introductory Activity
Probability Memory Challenge

9. Introductory Activity
Probability Memory Challenge

10. Introductory Activity
Probability Memory Challenge

11. Introductory Activity
Probability Memory Challenge

12. Roles and Responsibilities
Leader One who leads the group
Secretary One who writes the answers of the group
Reporter One who reports the output to the class
Timekeeper One who monitors the time
Members Will cooperate and participate in
constructing ideas

13. Rubrics for every activity.
Criteria 3 2 1
Promptness The group who
finished the activity
on or before the
given time.
The group who
finished the activity
3 minutes after the
given time.
The group who finished
the activity more than
5 minutes the given
time.
Cooperation All the members
actively
participated in
performing the
activity.
1 member did not
actively participate.
More than 1 member
did not actively
participate.
Accuracy All the answers are
correct.
One answer is not
correct.
More than one answers
are not correct.

14. Activity 2: Defective or Not
Situation:
You are working as a Salesperson in a particular
Gadget Store. Suppose your boss requires you to
test three cellphones at random. He wants to find
out the number of non-defective cellphones. Let D
represents the defective and N represents the non-
defective cellphone. If we let X be the random
variable representing the number of non-defective
cellphones, show the values of the random variable
X. Complete the table below to show the values of
the random variable.

15. Activity 2: Defective or Not
Possible Outcomes Value of the Random Variable X
(Number of Defective Cellphones)
NNN 0

16. RUBRICS FOR GROUP ACTIVITY
Criteria 3 2 1
Promptness The group who finished
the activity on or
before the given time.
The group who finished
the activity 3 minutes
after the given time.
The group who finished
the activity more than 5
minutes the given time.
Cooperation All the members
actively participated in
performing the activity.
1 member did not
actively participate.
More than 1 member did
not actively participate.
Accuracy All the answers are
correct.
One answer is not
correct.
More than one answers
are not correct.

17. GROUP PRESENTATION:

18. ANALYSIS

19. Activity 2: Answers
Possible Outcomes Value of the Random Variable X
(Number of Defective Cellphones)
NNN 0
DNN 1
NDN 1
NND 1
DDN 2
NDD 2
DND 2
DDD 3

20. Activity 3: What are my chances?
Using “Themed Props” strategy you will complete the table below by finding the
probability of each Value of the Random Variable X and answer the following
questions.
Number of Defective Cellphones Probability P(x)
0
1
2
3
Sum of Probabilities =
1 out of 8 or 1/8
3 out of 8 or 3/8
3 out of 8 or 3/8
1 out of 8 or 1/8
8/8 or 1

21. Activity 3: What are my chances?
Additional Questions:
1. What are the factors you considered to determine the
probability of each event?
2. How would you relate these factors?
3. What is the sum of the probabilities? Why?

22. Activity 4: Puto Cheese mo diha!
Situation:
You have an on-going business on
selling kakanin. Among these
foods which is a delicious food
called puto cheese. You
recorded the number of packs of
puto cheese that were delivered
each day. The number of packs
delivered for 10 days is shown
below.
Day Number of Packs
1 5
2 7
3 20
4 15
5 7
6 15
7 10
8 12
9 15
10 12

23. Day Number of Packs
1 5
2 7
3 20
4 15
5 7
6 15
7 10
8 12
9 15
10 12
No. of Packs Probability of
Selling this No. of
Packs P(x)
5
7
10
12
15
20

24. Questions:
- Did you determine the probabilities for each number of packs?
- Is the sum of the probabilities equal to 1?
- What is the probability that 10 or more boxes will be delivered on a day?
- What is the probability that the number of boxes delivered will be at
least 7 but not more than 20?
- What is the probability that at most 10 boxes will be delivered on a
particular day?
- Find P (X≤ 15)
- Find P (10) + P (20)

25. ABSTRACTION/GENERALIZATION

26. Application:
X 1 2 3 4 5
P(x) 0.25 0.12 0.28 0.15 0.20
The probabilities that a customer buys 1,2,3, 4, and 5 set of burger in a store has the
following probability distribution.
1.What is the probability that a customer will buy at least 2 sets of burgers?
2.What is the probability that a customer will buy at most 3 sets of burgers?
3.Find P(x≤3)
4.Find P( 1≤x≤4)

27. Problem: Weather Probability for Ocean Fishing
Scenario: A group of fishermen in Brgy. Baybay is planning a fishing trip in a
specific area of the open ocean. They want to estimate the probability of
encountering rain and strong winds during their trip.
Given Information:
• Historical data indicates that during the chosen month, there is a 40% or 0.40
chance of rain in the selected area.
• The probability of encountering strong winds that could affect fishing is
estimated at 25% or 0.25.
?

28. Problem: Weather Probability for Ocean Fishing
Questions:
1. What is the probability that the fishermen will experience rain during their
fishing trip?
2. What is the probability that the fishermen will encounter strong winds during
their fishing trip?
3. If the fishermen want to avoid both rain and strong winds, what is the
probability that they can have a successful fishing trip with favorable weather
conditions?
4. 4. If you are one of the fishermen, would go for fishing? Why or Why not?

29. Thank you for your
participation.