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

 

 

 

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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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