Suppose that a die is biased (or loaded) so that 3 appears twice as often as each other number but that the other five outcomes are equally likely. Assume you roll this die twice. Let Es be the event that 5 occurs in one of the two rolls. Let E>be the event that the sum is at least 9. (a) What is p(Es)? (b) What is p(E>9)? (c) Are Es and Eyg independent?
