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1.4 Sets
Experiment
an activity with outcomes
examples:
1 flip a coin:
the outcomes are
}
,
{
T
H
S
=
2 roll a die:
the outcomes are
}
6
,
5
,
4
,
3
,
2
,
1
{
=
S
3 roll a pair of dice and observe the sum of the faces:
the outcomes are
}
12
,
11
,
10
,
9
,
8
,
7
,
6
,
5
,
4
,
3
,
2
{
=
S
4 pick a card from a standard deck and observe its suit:
the outcomes are
}
,
,
,
{
S
H
D
C
S
=
Sample space
Given an experiment, a
sample space
for it is the collection of all outcomes.
Language of sets
a
set
is a collection of elements
A
s
∈
means
s
is an element of
A
(or
s
belongs to
A
)
B
A
⊂
means if
A
s
∈
, then
B
s
∈
;
we say
A
is a subset of
B
also say that
B
contains
A
;
B
A
⊂
can be rewritten
A
B
⊃
unions:
B
A
,
sets,
B
A
∪
is the set comprised of all elements in
A
alone, all
elements
in
B
alone, and all elements in both
A
and
.
B
Important rewording:
B
A
∪
is the set comprised of all elements that belong to
at least one
of
A
and
.
B
intersections:
B
A
,
sets,
B
A
∩
is the set comprised of all elements that belong to
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This note was uploaded on 02/09/2010 for the course MAT 521 taught by Professor Staff during the Spring '08 term at Syracuse.
 Spring '08
 Staff
 Statistics, Sets, Probability

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