5. Consider 1 = {1,2. .... 16} with uniform probability. Let A= {1,2,3,4}. B= {3.4.5.6.7.8.9.10}, C= {2.3.4.5.6.9.10, 11, 12, 13, 14, 15) and show that A and B are independent, B and C are independent, A and C are independent, that is. P(An B)= P(4)P(B), PAN C)= P(-4)PC), and P( BC)=P(B)P(C), but P(AN BOC)*P(A)P(B)P(C).