Ex 13.1, 6 (i) - Determine P(E|F) A coin is tossed three times, where - Ex 13.1

part 2 - Ex 13.1, 6 (i) - Ex 13.1 - Serial order wise - Chapter 13 Class 12 Probability

 

 

 

Remove Ads

Transcript

Ex 13.1, 6 ο»ΏDetermine P(E|F) A coin is tossed three times, where (i) E : head on third toss , F : heads on first two tossesCoin is tossed three times S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT} E : head on third toss E = {HHH, HTH, THH, TTH} P(E) = 4/8=𝟏/𝟐 F : heads on first two tosses F = {HHH, HHT} P(F) = 2/8=𝟏/πŸ’ Also, E ∩ F = {HHH} P (E ∩ F) = 1/8 We need to find P(E|F) P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (1/8 )/(1/4 ) = 1/8Γ—4/1 = 𝟏/𝟐

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo