Question

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

Explanation:

Step1: Understand set - notation

$\overline{B}$ is the complement of event $B$ (all elements not in $B$) and $\overline{D}$ is the complement of event $D$ (all elements not in $D$). The intersection $\overline{B}\cap\overline{D}$ represents the elements that are neither in $B$ nor in $D$.

Step2: Identify the region

In the Venn - diagram, the region that is outside both circles $B$ and $D$ (but still within the sample space $S$) is the region to be shaded.

Answer:

Shade the region of the sample space $S$ that is outside both circle $B$ and circle $D$.