1) Consider an experiment with sample space S = {A,B,C}. If P(A)=0.6, P(B)=0.2, and P(C)=0.2, then (a) P( A or B ) = (b) P( A and C ) = 2) Consider an experiment with sample space S=S= {A.B,C,DA,B,C,D} If P(A)=0.2P(A)=0.2, P(B)=0.45P(B)=0.45, and P(AUC)=0.35P(AUC)=0.35, then (A) P(C)=P(C)= (B) P(D)= 3)Suppose that AA and BB are two independent events for which P(A)=0.24P(A)=0.24 and P(B)=0.58P(B)=0.58. Find each of the following: A. P(A|B)=P(A|B)= B. P(BA)=P(B|A)= C. P(eandB)=P(AandB)= D. P(4or5)= 4) If P(EnF)=0.216P(ENF)=0.216, P(E|F)=0.72P(EIF)=0.72, and P(F|E)=0.8P(FIE)=0.8, then (a) P(E)=P(E)= (b) P(F)=P(F)= (C) P(EUF)=P(EUF)= (d) Are the events EE and FF independent? Enter yes or no