Question

Three coins are tossed once. Let A denotes the event “three tails show”, B denote the event “one tail and two head show”, C denotes the event “tail on first coin”. Which pair of events are. 

(i) mutually exclusive? 

(ii) simple events? 

(iii) compounds events?

Answer 1

Here, the sample space is– 

S = [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} 

A = {TTT} 

B = {HHT, HTH, THH} 

C = {THH, THT, TTH, TTT} 

A ∩ B = ϕ , B ∩ C = {THH} ≠ ϕ , A ∩ C = {TTT} ≠ ϕ .

(i) A, B are mutually exclusive. 

(ii) A is a simple event. 

(iii) B, C are compound events.