Лекция: Probability of compound events
or using set notation:
In this case the two intersecting sets A and B represent the events A and B and the universal set represents the sample space S. This is shown in the Venn diagram.
Proof
If and then
If an event A can occur or an event B can occur but A and B cannot both occur, then the two events A and B are said to be mutually exclusive.
In this case .
We can see this from the Venn diagram, where there is no overlap between the sets.
For mutually exclusive events .
If two events A and B are such that where S is the total probability space, then and the events A and B are said to be exhaustive.
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