Check sibling questions

Ex 16.2, 4 - Three coins are tossed once. Let A denote event

Ex 16.2, 4 - Chapter 16 Class 11 Probability - Part 2
Ex 16.2, 4 - Chapter 16 Class 11 Probability - Part 3 Ex 16.2, 4 - Chapter 16 Class 11 Probability - Part 4 Ex 16.2, 4 - Chapter 16 Class 11 Probability - Part 5 Ex 16.2, 4 - Chapter 16 Class 11 Probability - Part 6


Transcript

Ex 16.2, 4 Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are Finding A, B, C, D When 3 coins are tossed, possible results are S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} A : Three head shows A = {HHH} B : two heads & one tail show B = {HHT, HTH, THH} C : A three tail shows C = {TTT} D : A head show on the first coin D = {HHH, HHT, HTH, HTT} Now, solving questions Ex 16.2, 4 mutually exclusive? A ∩ B = {HHH} ∩ {HHT, HTH, THH} = ϕ Since no common element in A & B Hence A & B are mutually exclusive A ∩ C = {HHH} ∩ {TTT} = ϕ Since no common element in A & C Hence A & C are mutually exclusive A ∩ D = {HHH} ∩ {HHH, HHT, HTH, HTT} = {HHH} ≠ ϕ Since there is common element in A & D Hence A & D are not mutually exclusive B ∩ C = {HHT, HTH, THH} ∩ {TTT} = 𝜙 Since no common element in B & C Hence B & C are mutually exclusive B ∩ D = {HHT, HTH, THH} ∩ {HHH, HHT, HTH, HTT} = {HHT, HTH} ≠ ϕ Since there is common element in B & D Hence B & D are not mutually exclusive C ∩ D = {TTT} ∩ {HHH, HHT, HTH, HTT} = 𝜙 Since no common element in C & D Hence C & D are mutually exclusive Ex 16.2, 4 (ii) Simple A = {HHH} C = {TTT} Since A & C have only one element ∴ A and C are simple events (iii) Compound event B = {HHT, HTH, THH} D = {HHH, HHT, HTH, HTT} Since B & D have more than one element ∴ B and D are compound events Simple events If an event has only one sample point of a sample space , it is simple event Compound events If an event has more than one sample point of a sample space , it is compound event

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.