When a pair of dice is rolled,  the sample space will have 36 sample points S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)          (2,1),(2,2),...........,(2,6)  (3,1),(3,2)..............(3,6)  (4,1),(4,2).............(4,6),  (5,1),(5,2).............(5,6) (6,1),(6,2)...........(6,6)}A={(3,6),(6,3),(4,5),(5,4),(5,5),(4,6),(6,4),(5,6),(6,5),(6,6)}B={(1,2),(2,1),(2,3),(3,2),(2,4),(4,2),(2,5),(5,2),(2,6),(6,2)}C={(4,5),(5,4),(3,6),(6,3),(6,6)}Clearly, A∩B=ϕHence, A and B are mutually exclusive events.B∩C=ϕHence, B and C are mutually exclusive events.A∩C={(4,5),(5,4),(3,6),(6,3),(6,6)}=ϕHence, A and C are not mutually exclusive events