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The definition wants the following definitions to be neccarily
fulfilled :
- Fixed number of trials - process being investigated must have a
clearly defined number of trials that do not vary. We cannot alter
this number midway through our analysis. Each trial must be
performed the same way as all of the others, although the outcomes
may vary. The number of trials is indicated by an n in the
formula.
- Independent trials - Each of the trials has to be independent.
Each trial should have absolutely no effect on any of the others.
The classical examples of rolling two dice or flipping several
coins illustrate independent events. Since the events are
independent we are able to use the multiplication rule to multiply
the probabilities together.
- Two different classifications - Each of the trials is grouped
into two classifications: successes and failures.
- The probability of success stays the same for all trials - The
probabilities of successful trials must remain the same throughout
the process