Two events are called not mutually exclusive if they have al least one outcome common between them. If the two events and are not mutually exclusive events, then . Similarly, and are not mutually exclusive events if . Thus they must have at least one common point between them.

Consider a sample space:

Let and

Here

Thus, i.e. exist. Here and are not mutually exclusive events. consists of outcomes which are common to both and . As shown in the figure a Vann diagram in which and are not mutually exclusive events. Some area under is common with . If the event is a part of the event , then . This is shown in the figure:

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