When three coins are tossed the sample space is given by,
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
A={HHH}
B={HHT,HTH,THH}
C={TTT}
D={HHH,HHT,HTH,HTT}
A∩B=ϕ
A∩C=ϕ
A∩D={HHH}≠ϕ
B∩C=ϕ
B∩D={HHT,HTH}≠ϕ
C∩D=ϕ
(i) Event A and B; event A and C; event B and C; and event C and D are all mutually exclusive.
(ii) If an event has only one sample point of a sample space, it is called a simple event.
Thus A and C are simple events.
(iii) If an event has more than one sample point of a sample space it is called a compound event. Thus B and D are compound events