key term - Complement of event A
Definition
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.
5 Must Know Facts For Your Next Test
- 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.
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