3. (5 points) Of the students living in the dormitories at a university, 58% live at west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 26% of those at the west hall, and to 19% of those living at the south tower. A student living in a dormitory is randomly chosen. Find the probability that this student does not receives a coupon. [Hint: Use a tree diagram] (Extra Credit) (2 points) Two dice (one red and one green) are rolled, and the numbers that face up are observed. Test the given pair of events for independence. A: Neither die is 1 or 6; B: The sum is even