At the coffee station at work, you have several options when making a cup of coffee. You can choose to add no cream (N), regular cream (R), or hazelnut-flavored cream (H). You can also choose to add no sweetener (O), sugar (S), or aspartame (A). a) Determine the number of points in the sample space. b) Construct a tree diagram and list the sample space. If you were to randomly prepare one cup of coffee, deter- mine the probability that c) you prepared a cup of coffee with regular cream and sugar? d) you prepared a cup of coffee with no cream and no sweetener? e) you prepared a cup of coffee with sugar?