Check sibling questions

Ex 13.1, 6 (i) - Chapter 13 Class 12 Probability (Term 2)

Last updated at March 30, 2023 by

Ex 13.1, 6 - A coin is tossed three times, where (i) E: head on third

Ex 13.1, 6 - Chapter 13 Class 12 Probability - Part 2

 

 

 

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

Book 30 minute class for ₹ 499 ₹ 299

Transcript

Ex 13.1, 6 Determine 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=1/4 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 ) = 1/8×4/1 = 1/2 ∴ P(E|F) = 𝟏/𝟐

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.