Question

Refer to the exercise 5.66. Among the events A, B, C and D, identify the collection of events that are mutually exclusive.

Short answer

Between A, B, C, and D, only A and B are mutually exclusive.

Step-by-step solution

Step 1. Given information.

Given sets:

$$\begin{gathered} A=\left\{101—200,201—300,301—500,501—1000\right\} \\ B=\{0,1—50\} \\ C=\{1—50,51—100,101—200\} \\ D=\{1-50,51—100,101—200,201—300,301—500,501—1000 \end{gathered}$$

Step 2.  If no two events have the same outcome, they are said to be mutually exclusive.

As a result, only A and B are mutually exclusive among A, B, C, and D.

$A\cap B=\varphi$