Question

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

Explanation:

Step1: Define complement of C

The complement of event C, $\overline{C}$, consists of all elements in the sample - space S that are not in C. So, we shade the entire region of S that is outside of the circle representing C.

Step2: Define intersection of A and C

The intersection $A\cap C$ consists of all elements that are in both A and C. So, we shade the overlapping region of the circles representing A and C.

Answer:

(a) Shade the region of S outside of circle C.
(b) Shade the overlapping region of circles A and C.