This course lays a strong foundation of concepts to compute and interpret theoretical and experimental probabilities.

This is a foundation course for those who want to learn the fundamentals of probability. Beginning with the definition of probability, the course will gradually introduce various terms and concepts with appropriate worked out examples.Three videos are designed to give a clear picture of various approaches to probability.The course also includes a brief note on the history of probability. Building on probability concepts that begin in the middle grades, students use the language of set theory to expand their ability to compute and interpret theoretical and experimental probabilities for compound events, attending to mutually exclusive and exhaustive events.

What you’ll learn

- Over 35 lectures and about 3 hours of content!.
- The overall course goal is to lay a strong foundation of concepts to compute and interpret theoretical and experimental probabilities..
- Objective 1.Understand and define the term Probability.
- Objective 2 .Understand basic terms related to the concept of Probability..
- Objective 3. Understand various approaches to probability and calculating probability using formula..
- Objective 4. To become familiar with Sample spaces and their construction..
- Objective 5. To understand algebra of events and types of events..
- Objective 6. To encounter problems related to empirical, classical, axiomatic approaches, mutually exclusive and exhaustive events..

Course Content

- Welcome to the course.
- Historical Note.
- Definition.
- Understanding the terminology.
- Various approaches to Probability.
- Note on pack of cards, coins and dice.
- Sample spaces.
- Algebra of Events.
- Mutually Exclusive and Exhaustive Events.
- Solved problems.
- Extra problems for practice with solutions.
- Course wrap-up.

Requirements

- For lectures 1 to 7, 9 to 14, 20 to 26, 31 to 33, 35 no special skills are required. The student is supposed to know simple arithmetic and must be able to solve simple linear equations..
- For lectures 8, 15 to 19, 27 to 30, 34, 35 the following Set theory concepts are required:.
- Must be familiar with sets and their representations..
- Knowledge about empty sets, finite and Infinite sets, equal sets, subsets, universal set, power set..
- Able to understand Venn diagrams..
- Understanding of Union and Intersection of sets, difference of sets, complement of a set..
- Familiar with the concepts : function, domain, range, real valued function..
- Able to solve linear equations in one or two variables..
- Familiar with sigma or summation notation.(desired).

This is a foundation course for those who want to learn the fundamentals of probability. Beginning with the definition of probability, the course will gradually introduce various terms and concepts with appropriate worked out examples.Three videos are designed to give a clear picture of various approaches to probability.The course also includes a brief note on the history of probability. Building on probability concepts that begin in the middle grades, students use the language of set theory to expand their ability to compute and interpret theoretical and experimental probabilities for compound events, attending to mutually exclusive and exhaustive events.

The course also provides extra practice problems with solutions on the following topics:

1. Sample spaces

2.Experimental or Empirical probability

3. Classical or theoretical probability.

4. Mutually exclusive and exhaustive system of events.

- This is a foundation course for those who want to learn probability from scratch.
- Lectures 1 to 7, 9 to 14, 20 to 26, 31 to 33, 35 are catered for K-8, K-9 and K-10 grades students. These lectures will also be helpful to K-11 and K-12 grade students in the sense that they serve as a recap to pursue the topic further.
- Lectures 8, 15 to 19, 27 to 30, 34, 35 are in continuation with the topics covered in the above mentioned lectures. So in particular will help K-11 and K-12 students.
- Also, anybody who wants to brush up the topic probability for any competitive exam within a short span of time, this course is strongly recommended.
- This course is a bonus for people who have keen interest in the subject of Mathematics and also for the people who have great passion for the subject!