Consider a simple game in which you roll a single die. If you roll an even number, you gain double that number of points, and if you roll an odd number, you lose triple that number of points. (A) What type of probability distribution does this game have and why? (B) Show the probability distribution of points in this game (chart). (C) What is the expected number of points per roll? What does this value mean? (D) Is this a fair game? Why?