Question

in the venn diagram below, b and c are events in the sample space s. (note: for any event x, we use \\(\overline{x}\\) to denote
ot x.\) shade \\(\overline{c}\\) on the venn diagram.

Explanation:

Step1: Recall the meaning of complement

The complement of an event $C$, denoted as $\overline{C}$, consists of all elements in the sample - space $S$ that are not in $C$.

Step2: Identify the area to shade

Shade the entire sample - space $S$ except the region inside the circle labeled $C$. This includes the part of circle $B$ that does not overlap with $C$ and the area outside both circles $B$ and $C$ within the rectangle representing $S$.

Answer:

Shade the area in the sample - space $S$ that is not inside the circle labeled $C$. This includes the non - overlapping part of circle $B$ and the region outside both circles $B$ and $C$ within the rectangle representing $S$.