This is intended for math 10.

1. LET`S REVIEW
What are these symbols?
1. Ս
2. Ո
3. {} or Ø
- Union
- Null Set
- Intersection

2. LET`S REVIEW
What are these symbols?

3. Activity
Illustrate the following events using a Venn
Diagram.In a six-sided die experiment,
 S represent all possible outcomes.
 A represents that the number is odd.
 B represents that the number is a multiple of
3, and
 C represents that the number is a multiple of
4.

5. Learning Objectives
a. determine the union and
intersection of events;
b. solve problems that involve
union and intersection of
events; and
c. relate union and intersection
of events in a real-life
situation.

6. Sample Space
In mathematical experiment, the set of
all possible outcomes is called sample
space denoted by S.
Therefore, S = {1,2,3,4,5,6}.
How many elements are there in set S?
Cardinality of a Set.
n(s)=6

7. Events
An event is a collection of outcomes.
Also, a subset of a sample space. Based
from the Venn diagram, there are three
events A, B and C.

8. Union of Two Events
The union of two events, A and B, can
be written as A Ս B. These are the
elements found in event A, event B, or
in both A and B.

9. Examples
What is A Ս B?

10. Intersection of Two Events
The intersection of two events, A and
B, written as A Ո B. These are the
elements found to both events A and B.

11. Examples
What are the elements common to
events A and B?

12. Examples
What is A Ո B?

13. Complement of Events
The complement of event A, denoted
by A՚ are the elements that are not in
event A but found in the universal set.

14. Examples
What is A՚? B՚? C՚?

15. Examples
What is (A Ս B)՚?

16. Let`s Try!
Solve the following.(1/2 sheet of paper)
1.Sample Space
2.Events
3.Union of two events
4.Intersection of two events
5.Complement of Event A and B

17. Remember!
 Sample space – a set of possible
outcomes
 Events – a collection of outcomes
 Union of Two Events – elements found
in event A, event B or (A Ս B)
 Intersection of Two Events – elements
found to both events A and B or (A Ո B)
 Complement of Events – elements that
are not in event A but found in the
universal set, denoted by A՚

18. Let`s Solve
If you toss three coins at once, and A be
the event that “at least one head will
appear” and B be the event that “at
least two tails appear”, what is A ∩ B
and A Ս B? (1/4 sheet of paper)

19. Assignment
A pair of dice is rolled. Determine the
following: (1 whole sheet)
1. Sample Space
2. A be the event that “sum of two
numbers is 5”
3. B be the event that “sum of two
numbers is 13”
4. A Ս B
5. A Ո B
6. Complement of (AՍB)՚