Ex 13.1, 6 (iii) - Chapter 13 Class 12 Probability

Last updated at April 16, 2024 by

Slide16.JPG

Slide17.JPG

Transcript

Ex 13.1, 6 Determine P(E|F) A coin is tossed three times, where (iii) E : at most two tails , F : at least one tail Coin is tossed three times S = {HHH, HHT, THH, HTH, TTH, THT, HTT, TTT} E : at most two tails E = {HHH, HHT, HTH, THH, TTH, THT, HHT} P(E) = 7/8 F : at least one tail F = {HHT, HTH, THH, TTH THT, HTT, TTT} P(F) = 7/8 Also, E ∩ F = {HHT, HTH, THH, TTH, THT, HTT} P(E ∩ F) = 6/8 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (6/8 )/(7/8 ) = 6/8 × 8/7 = 𝟔/𝟕

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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.