Problem 1: Consider three events/sets A, B and C. Prove the following results: (a) AnB = AUB.(b) AU(BOC) = (AUB) n (AUC). (c) An (BUC) = (AnB) U(And). (d) AUB = (AnB) U(AnB) U (AnB). You can prove the above results analytically. However, I think that it will be useful to prove them with the help of Venn diagrams because, in my opinion, visualizing the sets from these diagrams leads to a better understanding of the material at this stage. So, try the diagrams