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.\) (a) shade b ∩ d. (b) shade \\(\overline{b}).

Explanation:

Step1: Understand intersection

The intersection $B\cap D$ represents the elements that are in both $B$ and $D$. So, shade the overlapping region of circles $B$ and $D$.

Step2: Understand complement

The complement $\overline{B}$ represents the elements that are not in $B$. So, shade the region of the sample - space $S$ that is outside of circle $B$.

Answer:

(a) Shade the overlapping part of circles $B$ and $D$.
(b) Shade the area of the rectangle $S$ that is outside of circle $B$.