A probability experiment is conducted in which the sample space of the experiment is S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} . Let event A={7,8,9,10} and event B={9,10,11,12,13} .
Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive?
A) {9,10} ; no
B) {9,10} ; yes
C) {7,8,9,10,11,12,13} ; no
D) {7,8,9,10,11,12,13} ; yes

Question

A probability experiment is conducted in which the sample space of the experiment is  S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} .  Let event  A={7,8,9,10}  and event  B={9,10,11,12,13} . 
Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive?
A)  {9,10} ;  no
B)  {9,10} ;  yes
C)  {7,8,9,10,11,12,13} ;  no
D)  {7,8,9,10,11,12,13} ;  yes

Quizplus · Accepted Answer

A and B are not mutually exclusive because they share outcomes {9,10}.

A Probability Experiment Is Conducted in Which the Sample Space