Three coins are tossed once. Let A denotes the event “three tails sh

1.	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» 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.

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»

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.

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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?

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