๐ŸŽฒintro to statistics review

key term - Complement of event A

Citation:

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

  1. The probability of the complement of event A is calculated as $P(A^c) = 1 - P(A)$.
  2. If event A is certain to happen, its complement will have a probability of 0.
  3. If events A and B are mutually exclusive, then $P(A \cup B) = P(A) + P(B)$ includes the complements within their union logic.
  4. The sum of probabilities for an event and its complement is always equal to 1.
  5. In Venn diagrams, the complement of event A covers all areas outside circle A within the universal set.

Review Questions

"Complement of event A" also found in: