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Basic Definitions---Borel Sets
Axioms of Probability
Axiom 1:
To every set
S
corresponds a non-negative number
which is called the probability of the event
X
belonging to
S
.
Axiom 2:
Axiom 3:
is a completely additive set function:
i.e.,
if the
are disjoint.
,
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu
which is called the probability of the event X belonging to S.
is a completely additive set function:
if the 
are disjoint.
, 