**Institution:**Harvard University

**Start Date:**At your own pace

The Harvard University is providing a free online course named “Fat Chance: Probability from the Ground Up”. This course is created specifically for those who are new to the study of probability, or for those who are seeking an approachable review of core concepts prior to enrolling in a college-level statistics course.

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. You may join the course at your own pace.

**Course Summary**

**Duration:**7 weeks**Commitment:**3 to 5 hours per week**Subject:**Mathematics**Institution:**Harvard University**Languages:**English**Price:**Free**Session:**At your own pace**Requirement:**High school algebra**Certificate Available:**Yes

**Who Developed the Course**

**The **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.

**Target Audience**

Applicants should have knowledge of High school algebra

**Where Could This Lead You**

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 ( ₹ 3378 INR)

**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 **here**.

**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:**Leverett Professor of Mathematics, EmeritusHarvard University**Joseph Harris:**Higgins Professor of MathematicsHarvard University**Emily Rieh:**Assistant Professor, Department of MathematicsJohns Hopkins University

**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 **Website**.