Given: There are three coins tossed once.
When three coins are tossed, then the sample spaces are:
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
So, according to the question,
A = {HHH}
B = {HHT, HTH, THH}
C = {TTT}
D = {HHH, HHT, HTH, HTT}
Now, A⋂ B = Փ,
A ⋂ C = Փ,
A ⋂ D = {HHH}
B⋂ C = Փ,
B ⋂ D = {HHT, HTH}
C ⋂ D = Փ
We know that, if the intersection of two sets are null or empty it means both the sets are Mutually Exclusive.
(i) Events A and B, Events A and C, Events B and C and events C and D are mutually exclusive.
(ii) Here, We know, if an event has only one sample point of a sample space, then it is called elementary events.
So, A and C are elementary events.
(iii) If there is an event that has more than one sample point of a sample space, it is called a compound event.
Since, B ⋂ D = {HHT, HTH}
So, B and D are compound events.
