Question

Which conditional probabilities are equal to 1 when \[P(F)\neq 0\]?

Options

• \[P(S\mid F)=P(F\mid F)=1\]

• \[P(S\mid F)=P(F\mid F)=1-P(F)\]

• \[P(S\mid F)=P(F\mid F)=P(F)\]

• \[P(S\mid F)=P(F\mid F)=0\]

Answer 1

Every outcome satisfying F is already in the sample space S. Also, given F, the event F has certainly occurred.