# Descrete Math for Information Technology

**Question description**

Could you answer each question in 300 words or more? 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.

## Tutor Answer

## Review from our student for this Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors