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1: Basic Definitions
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Axioms of Probability
Immediate Deductions from Axioms of Probability
Note that it follows from the axioms that
(a)
: any
S
Proof
:
was postulated. Take
,
(the complement of
S
) in Axiom 3.
, but
.
(b)
: any
,
with equality if
and
are disjoint.
Proof:
are sets disjoint. But
--- see (a). This proves desired result.
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu
: any S
was postulated. Take 
,
(the complement of S) in Axiom 3.
, but
.
:
any 
, 
with equality if 
and 
are disjoint.
--- see (a). This proves desired result.