A die is cast and the number that falls uppermost is observed. Let E denote the event that the number shown is a 6 and let F denote the event that the number shown is an even number.
Are the events E and F mutually exclusive?
A) no
B) yes

Question

A die is cast and the number that falls uppermost is observed. Let E denote the event that the number shown is a 6 and let F denote the event that the number shown is an even number. ​
Are the events E and F mutually exclusive?
A) no
B) yes

Quizplus · Accepted Answer

Event E (rolling a 6) is a subset of event F (rolling an even number), since 6 is an even number. Therefore, they are not mutually exclusive.

A Die Is Cast and the Number That Falls Uppermost