Question

The complement of an event $A$ is represented by

• A. $\overline{A}$
• B. $A^2$
• C. $-A$
• D. None of the above

Answer 1

The correct option is A $\overline{A}$

The complement of occurrence an event is the non-occurrence of that event.

Formally, the occurrence of all the outcomes that are NOT favorable to the event comes under the complement of that event.

The complement of an event $\text{A}$ is represented by $\overline{\text{A}}$, where the bar above $\text{A}$ signifies the occurrence of all the outcomes that are NOT favorable to the event $\text{A}$.

As an example, If $\text{P}\left(E\right)=\text{rolling an even number}$, then $\text{P}\left(\overline{E}\right)=\text{not rolling an even number}$
$=\text{rolling an odd number}$

Therefore, option (a.) is the correct choice.