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Ex 13.1, 6 ๏ปฟDetermine 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=๐Ÿ/๐Ÿ F : heads on first two tosses F = {HHH, HHT} P(F) = 2/8=๐Ÿ/๐Ÿ’ Also, E โˆฉ F = {HHH} P (E โˆฉ F) = 1/8 We need to find P(E|F) P(E|F) = (๐‘ƒ(๐ธ โˆฉ ๐น))/(๐‘ƒ(๐น)) = (1/8 )/(1/4 ) = 1/8ร—4/1 = ๐Ÿ/๐Ÿ

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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