1. A coin with a diameter of 6 is dropped on a floor that is a grid of 10 x 10 tiles. What is the probability that the entire coin is contained within one tile?
2. Andrew, Brian, and Chris all play for the same soccer team. Last season they scored a total of 21 goals between them, with each scoring at least one goal and no two scoring the same number of goals. How many distributions of goals scored by the three teammates are possible given these restrictions?