Discrete probabilities: a) What is the average roll you get when rolling 1d4 + 1d6 + 1d8 (sum of the numbers from rolling one 4-sided die, one 6-sided die, and one Wdie)? b) What is the most probable value when rolling 4d6 (i.e., rolling four dice and summing them)? 6) What is the average value for rolling a 100-5ided* die (d100)? *A fair die of this type is essentially fictitious since there is no loo-sided Platonic solid. Hint: The series is related to Triangle numbers