The complement of event A, denoted as $A^c$ or $\overline{A}$, consists of all outcomes in the sample space that are not in event A. It is the opposite of event A happening.
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The probability of the complement of event A is calculated as $P(A^c) = 1 - P(A)$.
If event A is certain to happen, its complement will have a probability of 0.
If events A and B are mutually exclusive, then $P(A \cup B) = P(A) + P(B)$ includes the complements within their union logic.
The sum of probabilities for an event and its complement is always equal to 1.
In Venn diagrams, the complement of event A covers all areas outside circle A within the universal set.