Conditional Probability - Statement
Conditional Probability - Statement
Last updated at April 16, 2024 by Teachoo
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=๐/๐ F : heads on first two tosses F = {HHH, HHT} P(F) = 2/8=๐/๐ Also, E โฉ F = {HHH} P (E โฉ F) = 1/8 We need to find P(E|F) P(E|F) = (๐(๐ธ โฉ ๐น))/(๐(๐น)) = (1/8 )/(1/4 ) = 1/8ร4/1 = ๐/๐