1.Let AAA and BBB be two events such that P(B∣A)=12P(B \mid A) = \dfrac{1}{2}P(B∣A)=21, P(A∣B)=14P(A \mid B) = \dfrac{1}{4}P(A∣B)=41 and P(A∪B)=58P(A \cup B) = \dfrac{5}{8}P(A∪B)=85. Consider(S1) P(A′∪B)=78(S_1)\;\; P(A' \cup B) = \dfrac{7}{8}(S1)P(A′∪B)=87(S2) P(A′∩B′)=38(S_2)\;\; P(A' \cap B') = \dfrac{3}{8}(S2)P(A′∩B′)=83Then:a.Both (S1)(S_1)(S1) and (S2)(S_2)(S2) are trueb.Both (S1)(S_1)(S1) and (S2)(S_2)(S2) are falsec.Only (S1)(S_1)(S1) is trued.Only (S2)(S_2)(S2) is trueLogin to continueOnly logged in users canattempt or see the solution.
