Question 1 In textbooks, we often use games of chance to illustrate probability such as dice, cards, flipping coins, etc. There are many important applications of probability in science, business, politics, etc. Give an example from your own experience where probabilities were important in some decision making process. What was the sample space? What event or outcomes were important to you in that example?
Question 2 Venn diagrams can be useful in many different situations where it is important to categorize the elements of a set. For example, we can use them to identify similarities and differences, describe test cases, understand system configurations, or define population transitions. Given an example from your own experience where a Venn diagram was useful (or would have been useful). How did the diagram help (or would have helped) you to communicate or understand the topic better?
Question 3 The primary distinction between a relation and a function is one of cardinality. A relation can be many-to-many. A function must be many-to-one or sometimes one-to-one. Why is this distinction important? Give an example from your own experience to illustrate why the number of possible results (“many” for a relation, “one” for a function) is an important consideration.