comprehensive Exam
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The likelihood of an event
Probability
occurring
Impossible 0% Probability
Unlikely 1 1% to 39% Probability
As Likely as Unlikely 40% to 60% Probability
Likely to 99% Probability
Certain 100% Probability
(Classical Probability) Computed by
: dividing the number of outcomes
I where the desired event occurs by
Theoretical Probability the total number of outcomes. *Note
that the outcomes must be
equally likely
1.
, (Experimental Probability) A
probability that is calculated
by
Empirical Probability
: conducting trials or experiments and
I recording the
results
I A mathematical of a
representation
Probability
Model
randomphenomenon
Sample
Space *Allthedifferent
experiment
I outcomes
An outcome or set of outcomes,
Event : whose chance of occurrence can be represented with
a probability
In probability, this refers to a
: situation in which all
outcomes are
, Fair equally likely. It is the
opposite of biased
In probability, this refers to
the number of possible
outcomes in a
Sample Size
: trial or experiment *The
number of different
outcomes
I
States that for one event with
n
I outcomes and another,
independent
event with m outcomes, the
sample
Fundamental Counting Principle: size is n Xm
*Used to find the total number
of
I possible
outcomes
Order matters. The number of
unique
Permutationordered possibilities for a certain
I
situation
, When an outcome can be
Sampling With Replacement
selected I more than once
When an outcome cannot be selected
Sampling Without
Replacement
more than
once
Order does not matter. The
number
I of unique unordered possibilities for
Combinationa certain situation. *All of these
problems will be
without replacement
Two events that CANNOT
Mutually Exclusive
occur at the I same time
Since the two events are mutually
I exclusive, it has no common
Intersection (AN D) intersection point. The probability of
I occurrence of such an event
will be zero
Addition rule of probability
Union (OR)
Events where the
occurrence of one I does
NOT affect the probability
Independent Events that
I the other event(s) will
occur
Dependent Events I
Events connected such that