Properties of union,intersection,and complement The following properties hold. )万=2and=0. (ii)For any event A, AU万=2， and An万=0 (iii)For any events A and B. AUB BUA, and A∩B=BnA. (iv)(a)(AUB)=AnB. (b)AnB可=AUB () 2 Distributive laws: For any sets A,B,and C: AU(BnC)=(AUB)n(AUC). and An(BUC)=(AnB)U(AnC). More generally,for several events A and B1,B2,...,Bn., 4u(a）-4u (a)-gunm 7125 7 / 25 Properties of union, intersection, and complement The following properties hold. Distributive laws: For any sets A, B, and C: