In: Advanced Math
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 is found.
(a) Are the events “the sum is even” and “the sum is greater than 7” independent?
(b) Are the events “the sum is a multiple of 3” and “the sum is greater than 7”independent?