Venn Diagrams;
Probability Laws
Set Operations
and Relations
Venn Diagram
2.3
Set Operations
Intersection:
the intersection of two sets
A
and
B
,
denoted by
(
A
∩
B
)
, is the set that contains all
elements of
A
that also belong to
B
⇒
AND
Example: Let
A
=
{
1
,
2
,
3
}
and
B
=
{
1
,
2
,
4
,
5
}
, then
A
∩
B
=
{
1
,
2
}
Union:
the union of two sets
A
and
B
, denoted by
(
A
∪
B
)
, is the set of all elements that belong to
either
A
or
B
⇒
OR
Example: Let
A
=
{
1
,
2
,
3
}
and
B
=
{
1
,
2
,
4
,
5
}
, then
A
∪
B
=
{
1
,
2
,
3
,
4
,
5
}
Venn Diagrams;
Probability Laws
Set Operations
and Relations
Venn Diagram
2.4
Example 8
Refer to Example 2, where we flipped 3 fair coins. Let
A
be the event of exactly 2 tails. Let
B
be the event that the
first 2 tosses are tails. Let
C
be the event that all 3 tosses
are tails. What are
A
∩
B
,
A
∪
C
, and
(
A
∩
B
)
∪
C
?
Solution.
Notes
Notes