1. We throw a pair of six-sided dice (sides numbered 1-6) repeatedly and note the sum of the two dice each time. What is the minimum number of throws needed to ensure that we see the same sum three times? 2. Next season, NC State's basketball team will play 15 home games. The athletic department provides each eligible student with free tickets to 5 randomly selected home games. If there are 15,000 eligible students, what is the minimum number of students who will have tickets to the same five games?