Probability made easy: Learn counting techniques
4.8 (5 ratings)
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Probability made easy: Learn counting techniques

Learn counting techniques
4.8 (5 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
700 students enrolled
Last updated 1/2016
English
Current price: $10 Original price: $20 Discount: 50% off
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Includes:
  • 1 hour on-demand video
  • 4 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
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
View Curriculum
Requirements
  • students taking this course should be familiar with such notions as events, outcomes, sample spaces and probability
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!


Who is the target audience?
  • college students
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Curriculum For This Course
Expand All 13 Lectures Collapse All 13 Lectures 01:15:01
+
Introduction
1 Lecture 01:30
+
Ordered sampling
3 Lectures 19:22

Intransitive dice
04:28

Ordered sampling without replacement
08:00
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Unordered sampling
3 Lectures 23:26

Solving problems
09:51

Unordered sampling without replacement
08:17
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Composite counting techniques
3 Lectures 19:43
Properties of binomial coefficients
06:51

Partitions
06:06

Bernoulli trials
06:46
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Advanced topics
2 Lectures 00:00
A boy lost on a mountain
6 pages

Secretary problem
3 pages
+
Thank you!
1 Lecture 00:00
Thank you!
1 page
About the Instructor
Dynamic Lectures
4.5 Average rating
24 Reviews
2,977 Students
6 Courses

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.