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 $overline{b}cup c$ on the venn diagram.

Explanation:

Step1: Understand the meaning of $\overline{B}\cup C$

$\overline{B}$ is the complement of event $B$ (all elements not in $B$ in the sample - space $S$), and $\cup$ represents the union (all elements that are in either $\overline{B}$ or $C$ or both).

Step2: Shade the appropriate regions

Shade all the regions outside of circle $B$ and also shade the entire circle $C$. This includes the part of $C$ that overlaps with $B$ and the part of $C$ that does not overlap with $B$, as well as all the elements in $S$ that are not in $B$.

Answer:

Shade all the area outside of circle $B$ and the entire circle $C$ on the Venn - diagram.