The document discusses mutually exclusive and non-mutually exclusive events. It provides examples to illustrate the difference, including examples involving drawing balls from a jar numbered 1-15 and rolling a die. It discusses how to calculate the probability of unions of events depending on whether they are mutually exclusive or not. Key points are that for mutually exclusive events, the probability of their union is the sum of their individual probabilities, while for non-mutually exclusive events it is the sum of their probabilities minus their intersection.

1. TAKE A LOOK AT THE FOLLOWING PICTURES.
DETERMINE IF YOU CAN SELECT ONE OR BOTH
AT THE SAME TIME.
Which road are you going to take, LEFT or
RIGHT?

2. HOT OR COLD?

3. Playing DOTA or studying your lessons?

4. MAHAL KO O MAHAL AKO?

5. MUTUALLY EXCLUSIVE
EVENTS
-are events that cannot
occur at the same time.

6. NOT MUTUALLY
EXCLUSIVE EVENTS
-are events that can occur
at the same time

7. Why is it important in life
to learn how to decide
what to choose? Or
when to choose both?

8. REVIEWING PAST
LESSON

9. Identify whether it is
mutually exclusive event or
not mutually exclusive
event.

10. Shout OKEEY KEEYOHH if
the given is mutually
exclusive and LAMI
KEEYOOH if not.

11. Given: Fifteen balls in a jar
are numbered 1 – 15. A ball
is drawn at random. Find the
probability that the number
on the ball is:

12. a.Less than 6 or greater than
9 ?
b.Even or less than 6?
c.Odd or greater than 9?
d.Even or odd?

13. PROBABILITY OF UNION OF
TWO EVENTS
MUTUALLY AND NOT MUTUALLY EXCLUSIVE EVENTS

14. If A and B are
mutually exclusive
events, then the
probability that A or
B occurring is :
P( A or B) = P(A) + P(B)

15. EXAMPLE:
GIVEN: Fifteen balls in a
jar are numbered 1 – 15. A
ball is drawn at random.
Find the probability that
the number on the ball is:

16. A. Less than 6 or greater than 9
?
B. Divisible by 4 or Greater
than 12.

17. If A and B are not
mutually exclusive
events, then the
probability that A or B
is occurring is:
P( A or B) = P(A) + P(B) – P(A ꓵ B)

18. EXAMPLE:
Fifteen balls in a jar are
numbered 1 – 15. A ball
is drawn at random. Find
the probability that the
number on the ball is:

19. a.Even or divisible by 3?
b.Odd or greater than 9?

20. Given: A fair six-sided die is
rolled. What is the probability
that Mario will win if he
chooses:
a.Minor or Major?
b.Even or Minor

21. EVALUATION
Given: In a raffle draw. 20 balls are put
inside a jar numbered from 1-20. What is the
chance of winning if Maria beats money for
balls:
a. Even or divisible by 5.
b. Less than 5 or greater than 15.