Probability - is used to describe the phenomenon of chance or randomness of events to occur.
Subjective Probability - is based on past experience and judgment of the person to determine whether a specific outcome is likely to occur.
Opinion polls - can be used to help in determining subjective probabilities for possible election returns and potential political candidates.
Experience and judgment
relate back to upbringing as well as other events the person has witnessed throughout his life. A production manager, for instance, might believe that the probability of manufacturing a new product without a single defect is 0.85.
Delphi Method
a panel of experts is assembled to make their predictions of the future.
Objective Probability
based on examining past data and using logical and mathematical equations involving the data to determine the likelihood of an independent event occurring.
P(E) – Experiments
refers a situation involving chance or probability that produces an event
n(S) – Sample space
refers to set of all possible outcomes of an experiment, that is, any subset of the sample space.
n(E) – Event
refers to one or more of the possible outcomes of a single trial of an experiment.
Simple event
When one event occurs
compound event
two or more events occur in a sequence
Even Chance any event or state of nature occurring lies between greater than or equal to 0 or 0% and less than or equal to 1 or 100%
Impossible
The probability of an event will not be less than 0 because it is not possible.
Probability
What formula is this
Mutually Exclusive
The probability that A or B will occur is the sum of the probability of each event.
Not Mutually Exclusive
The probability that A or B will occur is the sum of the probabilities of the two (2) events minus the probability that both will occur.
Independent Event
Two events are independent if the occurrence or nonoccurrence of one of the events does not affect the likelihood that the other event will occur.
Dependent Event
Two events are dependent if the occurrence of one event does affect the likelihood that the other event will occur.
Permutation
is a counting technique which refers to the arrangement (or ordering) of a set of objects, from first to last, where the order in which the objects are selected does matter. In a permutation n different
Permutation
What formula is this?
Second Normal Permutation
What formula is this?Once an event occurs in a permutation with n objects taken all at a time where some items consist of look-alikes/duplicates and rest are all different, it can occur again.
Third Normal Permutation
What formula is this? In a permutation with n different objects taken all at a time, n = r.
Combination
is a selection of objects from a collection in any order as oppose to permutations which deal with the ordered arrangements of objects