Ex 16.2

Chapter 16 Class 11 Probability
Serial order wise

Get live Maths 1-on-1 Classs - Class 6 to 12

Transcript

Ex 16.2, 5 Three coins are tossed. Describe (v) Three events which are mutually exclusive but not exhaustive. Three event which are mutually exclusive but not exhaustive Let A be the event getting only head A = {HHH} Let B be the event getting only tail B = {TTT} Let C be the event getting exactly two heads C = {HHT, HTH, THH} A ∩ B = {HHH} ∩ {TTT} = 𝜙 B ∩ C = {TTT} ∩ {HTT, TH, THT} = 𝜙 & A ∩ C = {HHH} ∩ {HTT, TTH ,THT} = 𝜙 Since A ∩ B = 𝜙 , A ∩ C = 𝜙 & B ∩ C = 𝜙 Therefore the event are pair wise disjoint i.e. they are mutually exclusive But, A ∪ B ∪ C = {HHH, TTT, HTT, THT, TTH} ≠ S Since A ∪ B ∪ C ≠ S Hence A, B & C are not exhaustive Hence A, B & C are mutually exclusive but not exhaustive

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.