c Kendra Kilmer October 11, 2011
Section 7.1  Experiments, Sample Spaces, and Events
Definition:
An
experiment
is an activity with an observable result.
Definition:
The
outcome
is the result of an experiment.
Definition:
The
sample space
is the set of all outcomes of an experiment.
Definition:
An
event
is a subset of the sample space. (Note: An event
E
is said to occur whenever
E
contains
the observed outcome.)
Definition:
E
and
F
are
mutually exclusive
if
E
∩
F
=
/0.
Note:
All of the set operations (union, intersection, complement) work the same with events.
Example 1:
Let’s consider the experiment of rolling a fair sixsided die and observing the number that lands
uppermost.
a)
Determine the sample space.
b)
Find the event
E
where
E
=
{
x

x
is an even number
}
.
c)
Find the event
F
where
F
=
{
x

x
is a number greater than 2
}
d)
Find the event
(
E
∩
F
)
e)
Find the event
(
E
∪
F
)
f)
Are the events
E
and
F
mutually exclusive?
g)
Are the events
E
and
F
complementary?
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 Fall '08
 JillZarestky
 Kendra Kilmer

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