Probability theory and mathematical statistics - Event relationship

Relations events:
the study of random phenomena, we often have to consider the relationship between the operation and events.
The relationship between events similar to the relationship between the collection, are: contains, equal, mutually exclusive (mutex), reciprocal (opposition).
1. comprising: if the sample points are inside Event A B, then A is included in B, or both B comprising A, referred to as A⊂B, be a child of A to B of the event. A⊂B, mean, A B will happen happen.
2 equal: if A⊂B, and B⊂A, referred to as A = B. Mean that the two are equal two events correspond to the same set of events, actually two events for the same event.
3. mutually exclusive (mutex): if the event A and event B does not contain the same sample point, He said A and B mutually incompatible (mutually exclusive or). Means that the event A and event B can not occur simultaneously.
4. opposite (reciprocal): If B is a set of sample points in Ω without the A component, called A and B or reciprocal opposition, the opposite event is called B (reverse event) .A antagonism of A events referred to
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