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Chapter 2. Probability
Section 1: Basic Ideas
Set Theory
•
Experiment
: the process that results in an outcome that cannot be predicted
in advance with certainty
ex) tossing a coin, measuring length of a pin from a process, etc.
.
•
Outcome
: the result of a chance experiment
ex)
•
Sample Space
(
S
): the set of all possible outcomes of an experiment
ex) The sample space for Fipping 2 coins:
ex) The sample space for length of a pin from a process which manufac
tures pins whose lengths vary between 4.5 and 5.5 cm:
•
Event
: a subset of a sample space
Notation:
A,B,C,.
..
ex) List the event where you get the same face on both Fips:
ex) List the event where a pin has a length less than 5.12 cm:
•
Empty Event
: an event that has no outcomes (
∅
)
1
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View Full DocumentSome Relations from Set Theory
Suppose we have two events of interest
A
and
B
•
Union of
A
and
B
: the set of outcomes that belong
either to
A
, to
B
, or to both
Symbol:
Venn diagram:
•
Intersection of
A
and
B
: the set of outcomes that belong
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 Spring '08
 Kyung
 Statistics, Probability

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