Define experiment; that is, describe the process used to make an
observation and the type of observation that will be recorded.
List the sample points
Assign probabilities to the sample points
Determine the collection of sample points contained in the event of
interest
Sum the sample point probabilities to get an event probability
o
Combination rule
Sample of n elements drawn from set of elements
•
3.2 Unions and intersections
o
Compound events
Union
outcomes in either A or B or both
Intersection
outcome in both A & B
•
3.3 Complementary Events
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o
Event that A does not occur
o
All events not in A
o
Rule of complements
Sum equals 1
•
3.4 Additive Rule and Mutually Exclusive Events
o
Events do not occur simultaneously
o
Additive rule
Get compound probabilities for union of events
•
3.5 Conditional Probability
o
Event probability given another event occurred
o
Revise original sample space to account new information
Eliminates certain outcomes
•
3.6 Multiplicative Rule and Independent Events
o
Used to get compound probabilities for intersection of events
o
Statistical independence
Occurrence does not affect probability of another event
Formula:
Note:
, where
n
P
r
is the
formula for
permutations
of
n
objects taken
r
at a time.
Example:
How many different committees of 4 students can be chosen from a
group of 15?
Answer:
There are
possible combinations of 4 students from a set of
15.
There are 1365 different committees.
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 Fall '12
 JagbirSingh
 Probability, Probability theory, NPR, Sample points

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