Question

A probability experiment is conducted in which the sample space of the experiment is S = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22}. Let event E = {12, 13, 14, 15, 16, 17} and event F = {16, 17, 18, 19}. List the outcomes in E and F. Are E and F mutually exclusive?

Answer 1

Explanation:

Event E consists of the outcomes {12, 13, 14, 15, 16, 17}, and event F consists of the outcomes {16, 17, 18, 19}.

To determine if events E and F are mutually exclusive, we need to check if they have any outcomes in common. In this case, we can see that both events E and F have the outcome 16 and 17 in common.

Since events E and F share common outcomes, they are not mutually exclusive.