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Chapter 7: Probability
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Figure 7-10:
Venn diagram displaying information
for
Example 7-13
Next we will discuss the portion in the Venn diagram which is common to
both of the events. Such common events are called the intersection of
events.
Intersection of Events
Consider two events
A
and
B
. We may be interested in the event that is
obtained by considering the elements that are in
both
A
and
B
. Such a
compound event is called the
intersection
of events
A
and
B
.
Definition: Intersection of Two Events
The intersection of two events A and B is the set of outcomes that are
included in both A and B.
Notion: The intersection of A and B will be denoted by A ∩ B.
Note:
Sometimes the intersection of
A
and
B
is written as “
A and B
”
. That
is,
A
B
A and B
.