Probability made easy: Learn counting techniques

Learn counting techniques
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  • Lectures 13
  • Length 1.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 9/2015 English

Course Description

This is a second series of lectures in Probability theory. In this course you will learn the four principle counting techniques used in probability theory:

  • Ordered sampling with replacement (lecture 2)
  • Ordered sampling without replacement (lecture 4)
  • Unordered sampling without replacement (lecture 5)
  • Unordered sampling with replacement (lecture 7)

This course is the second part of a college level course in probability theory.

Keywords: ordered (unordered) sampling with (without) replacement, binomial coefficients, Bernoulli trials process, intransitive dice

The course includes 10 lectures with downloadable transcripts in pdf format.

If you take this course, you can count on my help. I will answer every single question you post on the discussion board.

Your feedback is important. Please write a short review and let me know what I can do to improve the course, or just rate the course! Thank you!

What are the requirements?

  • students taking this course should be familiar with such notions as events, outcomes, sample spaces and probability

What am I going to get from this course?

  • 10 video lectures with motivations, examples and solutions of various problems. Each video lecture is accompanied with a downloable lecture transcipt
  • solve any counting problem that appears in college level courses in probability theory

Who is the target audience?

  • college students

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Introduction
Section 2: Ordered sampling
Ordered sampling with replacement
Intransitive dice
Ordered sampling without replacement
Section 3: Unordered sampling
Unordered sampling without replacement
Solving problems
Unordered sampling without replacement
Section 4: Composite counting techniques
Properties of binomial coefficients
Bernoulli trials
Section 5: Advanced topics
A boy lost on a mountain
6 pages
Secretary problem
3 pages
Section 6: Thank you!
Thank you!
1 page

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Instructor Biography

I am a professional mathematician. As a mathematician I worked in US, Mexico, Japan, Canada and Germany. I am an author of 16 research papers published in internationally renowned journals.

I taught courses ranging from middle school to PhD level, including such high level courses as Topological Quantum Field Theory, Moduli spaces of Riemann curves, and Topological Surgery Theory.

What you may expect from me is a well structured course with clearly explained notions and theory.

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