Pure mathematics is, in its way, the poetry of logical ideas. --- Albert Einstein ...Economics is nothing but Mathematics -Dr.Ahsan Abbass...Symmetry is Ornament of Mathematics-Zulfiqar Ali Mir...Law of Nature are But Mathematical Thoughts of God - Euclid (Father of Geometry)...Mathematics is about Number and pattern among these nos.-Sir Zulfiqar A Mir,... Number Theory is Foundation of Mathematics-Sir Zulfiqar Ali Mir

Monday, 27 February 2012

Sample Spaces and Events

An experiment is an occurrence we observe whose result is uncertain.
An experiment is an occurrence whose result is uncertain.

 An outcome is some specific aspect of the experiment that we observe.
 The sample space for the experiment is the set of all possible outcomes.
 Event
Given a sample space S, an event E is a subset of S. The outcomes in E are called the favorable outcomes. We say that E occurs in a particular experiment if the outcome of that experiment is one of the elements of E, that is, if the outcome of the experiment is favorable.

The event E consists of all outcomes in S which are favorable.

The complement, E', of an event E is the event that E does not occur. It is the set of all outcomes not in E. 


The union, EF, of events E and F is the event that either E occurs or F occurs (or both).

The interectsion, EF, of events E and F is the event that both E and F occur.




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