W306 - Basics of Probability Directions: Please upload a. PDF to Gmdescope that includes both your written responses and corresponding R code inputs/outputs (if requested) for each problem. I Recall: How to show byhand calculations? You may 1) add in R code inside of an R chunk that shows the algebra clearly, 2) type it out as text outside/below of the R chunk, or 3) by inserting an image [See the bottom of this RMD le or the bottom of the Session 00 RMD le for examples of how to insert an image]. Probem 1. You roll three fair sixsided dice. Problem 1 Part a) Keeping track of the order, how many different outcomes are possible? Problem 1 Part b) What values are possible for the total sum of the three dice? Problem 1 Part c) Enumerate/list the outcomes that result in a total sum of 2, 3, 4, and 5. Problem 1 Part d) Using your earlier work, determine P(sum is as) for a: = 2, 3,4, and 5. Problem 1 Part e) Determine P(sum is even)