Question

Which complement form is correct when \[P(B)\neq 0\]?

Options

• \[P(A'\mid B)=P(A\cap B)\]

• \[P(A'\mid B)=P(A\mid B)-1\]

• \[P(A'\mid B)=1-P(B\mid A)\]

• \[P(A'\mid B)=1-P(A\mid B)\]

Answer 1

Within the condition B, A and \[A'\] are complementary events. Therefore their conditional probabilities add to 1.