Question

Construct a venn diagram that portrays four events A, B ,C and D that have the following properties: Events A, B and D mutually exclusive: events A,B and D are mutually exclusive: no other three of the four events are mutually exclusive

Short answer

Venn diagram:

Step-by-step solution

Step 1. Given information. 

To construct that a Venn diagram. The occurrences $A$, $B$, and $C$are mutually exclusive, as are the events$A$$B$and $D$.

Step 2. Draw the following is a Venn diagram of occurrences A, B, C, and D :

Events $A$, $B$and $C$are mutually exclusive; events $A$, $B$, and $D$are mutually exclusive; no other three of the four events are mutually exclusive.

$$\begin{gathered} A\cap B=\varphi \\ B\cap C=\varphi \\ A\cap C=\varphi \\ A\cap D=\varphi \\ B\cap D=\varphi \end{gathered}$$