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 u d. (b) shade b ∩ d.

Explanation:

Step1: Recall union definition

The union \(B\cup D\) is all elements in \(B\) or \(D\). So we shade the entire region of both circles.

Step2: Recall intersection definition

The intersection \(B\cap D\) is all elements in both \(B\) and \(D\). So we shade only the overlapping part of the two - circles.

Answer:

(a) Shade the entire region of circle \(B\) and circle \(D\) (including the overlapping part).
(b) Shade only the overlapping part of circle \(B\) and circle \(D\).