Question

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

Explanation:

• For (a): The union \(A\cup D\) includes all elements that are in \(A\) or in \(D\). So, we shade the entire region covered by circle \(A\) and circle \(D\).
• For (b): The complement \(\overline{A}\) includes all elements in the sample space \(S\) that are not in \(A\). So, we shade the region of the sample - space rectangle \(S\) that is outside of circle \(A\).

Answer:

• (a) Shade the entire area of circle \(A\) and circle \(D\).
• (b) Shade the area of the rectangle \(S\) that is not inside circle \(A\).