Two events E1 and E2 are said to be independent if p(E1∩E2)=p(E1)p(E2). Two (fair, standard) dice are rolled, and their sum isfound.
(a) Are the events “the sum is even†and “the sum is greaterthan 7†independent?
(b) Are the events “the sum is a multiple of 3†and “the sum isgreater than 7â€independent?
