INTRODUCTION TO PROBABILITY
Illustrating events, and union
and intersection of events
M10SPIIIf-1
LET’S RECALL:
Name the following symbols.
∪
2. ∩
1.
3. { } or
∅
VENN DIAGRAM
VENN DIAGRAM
A = { L, O, V, E }
B = { H, A, T, E }
L
H
E
O
A
E
What are the elements
of EVENT A?
What are the elements
of EVENT B?
V
T
VENN DIAGRAM
A = { L, O, V, E }
B = { H, A, T, E }
H
L
What are the elements
common to EVENTS A
and B?
A
E
O
V
T
What are the elements
found in either
EVENT A or EVENT B?
TERMS:
- is the measure of how likely
something will occur/happen.
EXAMPLE:
What’s the probability of landing
on a 3 when rolling a dice?
TERMS:
- is the measure of how likely
something will occur/happen.
EXAMPLE:
What’s the probability of getting a
head when tossing a coin?
TERMS:
- is the measure of how likely
something will occur/happen.
EXAMPLE:
What’s the probability that it will
not rain tomorrow?
TERMS:
- is the measure of how likely
something will occur/happen.
EXAMPLE:
Ano ang chansa nga ikaw pillion
ya, indi sya?
TERMS:
- is a situation involving a chance or
probability that leads to result
called outcome.
rolling a dice
picking a
colored ball
tossing a
coin
TERMS:
- is the set of all outcomes in an
experiment. Denoted by: S={ }
EXPERIMENT:
rolling a dice
SAMPLE
SPACE:
S = { 1, 2, 3, 4, 5,
6}
S={
}
TERMS:
- one or more outcomes in
an experiment.
EXPERIMENT:
rolling a dice
SAMPLE
SPACE:
S = { 1, 2, 3, 4, 5,
6}
S={
}
INTERSECTION
OF TWO EVENTS
INTERSECTION OF TWO EVENTS
INTERSECTION
∩
symbol:
“COMMON”
“and”
INTERSECTION OF TWO EVENTS
Find the intersection of the following sets.
What’s
“COMMON”
to both A and B?
INTERSECTION OF TWO EVENTS
INTERSECTION
“COMMON”
L
H
E
O
A
E
V
T
A
B
A ∩ B = _______
INTERSECTION OF TWO EVENTS
H
L
A
E
O
V
T
A
B
{E}
A ∩ B = _______
PRACTICE:
Find the intersection of the following sets.
A ∩ B = { a, b}
A ∩ B = { } or ∅
UNION OF TWO
EVENTS
UNION OF TWO EVENTS
UNION
∪
symbol:
“COMBINE”
“or”
UNION OF TWO EVENTS
Find the union of the following sets.
What elements are the
elements in A, elements in B
and “BOTH” in A and B.
UNION
“COMBINE”
UNION OF TWO EVENTS
UNION
L
“COMBINE”
E
O
H
A
E
V
T
A
B
A∪B={ , , , , , , }
UNION OF TWO EVENTS
H
L
A
E
O
V
A
T
B
A∪B={ , , , , , , }
UNION OF TWO EVENTS
H
L
A
E
O
V
A
T
B
A ∪ B = { L ,O,V, E,H,A, T}
PRACTICE:
Find the UNION of the following sets.
PRACTICE!
ACTIVITY 3
Find the intersection of the following sets.
ACTIVITY 3
Find the union of the following sets.