1. You have two six-sided-dice. Die A has 2 twos, 1 three, 1 five, 1 ten, and 1 fourteen on its faces. Die B has a one, a three, a five, a seven, a nine, and an eleven on its faces. A. What are the average expected values for die A and die B? B. On any given roll of both dice, what is the probability that the number showing on die A will be greater than the number on die B? What is the probability that the number showing on die B will be greater? C. Considering your answers for parts A and B, which die would you choose to roll, and why, if your goal was (i) to achieve a higher score than an opponent rolling the other die, and (ii) to achieve the highest possible score on a single roll of the die? Show work for all questions