**Institution:**Harvard University

**Start Date:**April 25, 2018

The Harvard University is providing you a free online course name as “Fat Chance: Probability from the Ground Up”. You will increase your quantitative reasoning skills through a deeper understanding of probability and statistics. In Modules 1 and 2, you will be introduced to basic counting skills that you will build upon throughout the course. In Module 3, you will apply those skills to simple problems in probability. In Modules 4 through 6, you will explore how those ideas and techniques can be adapted to answer a greater range of probability problems. Lastly, in Module 7, you will be introduced to statistics through the notion of expected value, variance, and the normal distribution. This course will start on April 25, 2018.

**Course Summary**

**Duration:**7 weeks**Commitment:**3 to 5 hours per week**Subject:**Mathematics**Institution:**Harvard University**Languages:**English**Price:**Free**Session:**Starts on April 25, 2018**Requirement:**High school algebra**Certificate Available:**Yes

**Who Developed the Course**

**About University:**Harvard University is devoted to excellence in teaching, learning, and research, and to developing leaders in many disciplines who make a difference globally. Harvard faculty are engaged with teaching and research to push the boundaries of human knowledge. The University has twelve degree-granting Schools in addition to the Radcliffe Institute for Advanced Study.**Mission****of University:**Harvard University (comprising the undergraduate college, the graduate schools, other academic bodies, research centers and affiliated institutions) does not have a formal mission statement. The mission of Harvard College is to educate the citizens and citizen-leaders for our society.

**Target Audience**

Should have knowledge of High school algebra

**Where Could This Lead You**

**Importance****of the Subject in Today’s Scenario:**Probability is the chance that something will happen – how likely it is that some event will occur. Sometimes you can measure a probability with a number like “10% chance”, or you can use words such as impossible, unlikely, possible, even chance, likely and certain.**Your Career Option****:**If you’re wondering what your future could look like in this area, here are some potential careers:

- Research Analyst
- Data Scientist
- Marketing Analyst
- Analyst – Data Analytics

** Get Extra Benefits**

Pursue a Verified Certificate to highlight the knowledge and skills you gain ($99USD)

**Official and Verified**: Receive an instructor-signed certificate with the institution’s logo to verify your achievement and increase your job prospects**Easily Shareable:**Add the certificate to your CV or resume, or post it directly on LinkedIn**Proven Motivator:**Give yourself an additional incentive to complete the course

**How to Join This Course**

You should register yourself through the given link of join this free online course: https://courses.edx.org/register

**Course Format**

**Basic Counting**

- Counting Numbers
- Large Numbers
- The Multiplication Principle
- More on the Multiplication Principle and Factorials
- The Subtraction Principle

**Advanced Counting**

- Counting Collections
- Binomial Coefficients
- Applications of Collections
- Multinomials
- Collections with Repetition

**Basic Probability**

- Flipping Coins
- Rolling Dice
- Playing Poker
- Distributions of Bridge Hands

** Expected Value
**

- Expected Value: Chuck-A-Luck
- Expected Value: Slot Machines
- Strategizing

**Conditional Probability
**

- The Monty Hall Problem
- Conditional Probability: Set-Up and Examples
- Conditional Probability: Elections

**Bernoulli Trials
**

- Bernoulli Trials
- The Gambler’s Ruin

**The Normal Distribution
**

- Games
- Games: Examples and Variance
- Iterating Games
- The Normal Distribution – Part 1
- The Normal Distribution – Part 2

**Learning Outcomes**

At the end of this course, you’ll be able to:

- An increased appreciation for, and reduced fear of, basic probability and statistics
- How to solve combinatorial counting problems
- How to solve problems using basic and advanced probability
- An introductory understanding of the normal distribution and its many statistical applications
- An ability to recognize common fallacies in probability, as well as some of the ways in which statistics are abused or simply misunderstood

** ****Who Will You Learn With**

**Benedict Gross:**Benedict H. (Dick) Gross is the George Vasmer Leverett Professor of Mathematics, Emeritus at Harvard University. Dick received his A.B. and Ph.D. degrees from Harvard and taught at Princeton and Brown before joining the Harvard faculty in 1985.**Joseph Harris:**Joe Harris is the Higgins Professor of Mathematics at Harvard University. He received the Ph.D. from Harvard in 1977 and was on the faculty at M.I.T. and Brown University before returning to Harvard in 1988.**Emily Rieh:**Emily Riehl is an assistant professor in the department of mathematics at Johns Hopkins University. She earned her AB from Harvard College in 2006, a Masters of Advanced Study in Mathematics from Cambridge University in 2007, and her Ph.D. from the University of Chicago in 2011. From 2011-2015, she was a Benjamin Peirce and NSF Postdoctoral Fellow in the department of mathematics at Harvard University.

**Suggested Reading**

You can refer these books:

- Probability Theory: The Logic of Science by- Edwin Thompson Jaynes
- Probability and random processes by- Geoffrey Grimmett

**Conclusion**

**Importance****of Course:**At the end of the course you will gain the understanding of the normal distribution and its many statistical applications and quantitative reasoning skills through a deeper understanding of probability and statistics.**Importance****of Certificate****:**By the Certificate of Achievement you will be able to prove your success when applying for jobs or courses. You can display it on your LinkedIn or CV.

**Detailed Information**

For more information about the course, you may visit the given link:

https://www.edx.org/course/fat-chance-probability-from-the-ground-up