2 Matching Annotations
 Apr 2021

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Events AAA and BBB are mutually exclusive (cannot both occur at once) if they have no elements in common.
Events \(A\) and \(B\) are mutually exclusive (cannot both occur at once) if they have no elements in common.
Events \(A\) and \(B\) are mutually exclusive if: $$P(A∩B)=0$$

The complement of an event AAA in a sample space SSS, denoted AcAcA^c, is the collection of all outcomes in SSS that are not elements of the set AAA. It corresponds to negating any description in words of the event AAA.
The complement of an event \(A\) in a sample space \(S\), denoted \(A^c\), is the collection of all outcomes in \(S\) that are not elements of the set \(A\). It corresponds to negating any description in words of the event \(A\).
The complement of an event \(A\) consists of all outcomes of the experiment that do not result in event \(A\).
Complement formula:
$$P(A^c)=1P(A)$$
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