OR360
Section 1 Notes
Probability Review
1
General
•
Homework policies:
–
One problem set will be posted on Friday each week, due the next Friday at 4:00pm in
the box on the second floor of Rhodes Hall.
–
No late submissions will be accepted, for any reason. In exchange, the two lowest grades
will be dropped.
–
Please write the weekday of your section on the homework – it will be returned to you
in section once it is graded.
–
Two prelims, on Oct 5 and Nov 4, Final on Dec 14.
2
Events
•
Sample space Ω, and probability measure
P
.
–
Examples: for the experiment of throwing a coin twice, Ω =
{
HH, HT, TH, TT
}
, corre
sponding probability
P
.
•
Denote
events
in the sample space as
A, B
, etc. Event
∅
is the event that nothing happens.
Denote by
A
the
complement
of
A
, that is the event that
A
does not occur.
•
Definition
:
A
and
B
are
mutually exclusive
(or disjoint) if
A
∩
B
=
∅
, so
P
{
A
∩
B
}
= 0.
•
Basic rules of probability
–
0
≤
P
{
A
} ≤
1.
–
P
{
Ω
}
= 1
–
For disjoint events,
P
{
A
∪
B
}
=
P
{
A
}
+
P
{
B
}
.
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 Summer '08
 WEBER
 Conditional Probability, Probability, Probability theory, Rhodes Hall.

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