a) Pr [A & B] = Pr [A] + Pr [B] - Pr [A U B] =
= (1 - 7/11) + (1 - 6/11) - 7/11 = 2/11
Pr [B|A] = Pr [ B & A ]/Pr [A] = 2/11 : 6/11 = 1/3
b) Pr [A' & B'] = 1 - Pr [A U B ] = 1 - 7/11 = 4/11
c) Pr [A' | B'] = Pr [A' & B']/Pr [B'] = 4/11 : 6/11 = 2/3
d) Pr [ A & B' ] = Pr [A] - Pr [A & B] = 6/11 - 2/11 = 4/11
Pr [A' & B ] = Pr [B] - Pr [A & B] = 5/11 - 2/11 = 3/11
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