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Fall 2011
Math 141 Exam 3 Topics
courtesy: Kendra Kilmer
(covering Sections 7.27.6 and 8.18.4)
Sections 7.2 and 7.3
•
Suppose we repeat an experiment
n
times and an event
E
occurs
m
of those times. Then
m
n
is called the
relative
frequency
of the event
E
.
•
The
probability of an event
is a number between 0
and 1 that represents the likelihood of the event occur
ing. The larger the probability, the more likely the event
is to occur.
•
An event which consists of exactly one outcome is called
a
simple event
of the experiment.
•
The table that lists the probability of each outcome in an
experiment is known as the
probability distribution
.
•
For a
uniform sample space
with
n
outcomes the
probability of each outcome is
1
n
.
•
To ﬁnd the probability of an event
E
, add the proba
bilities of the simple events of
E
. Recall
P
(
∅
) = 0 and
P
(
S
) = 1.
•
Rules of Probability
•
P
(
E
∪
F
) =
P
(
E
) +
P
(
F
)

P
(
E
∩
F
)
•
If
E
and
F
are mutually exclusive, then
P
(
E
∩
F
) =
0
•
P
(
E
) = 1

P
(
E
c
)
Section 7.4
•
If
S
is a uniform sample space then
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 Fall '08
 JillZarestky
 Real Numbers, Histograms, Probability

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