Probability Made Easy

Learn fundamental notions of discrete probability theory
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  • Lectures 22
  • Length 2 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 9/2015 English

Course Description

This dynamic course is the first one in a series of courses that covers a complete course in probability theory taught in the US colleges.

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

If you are looking for an effective way to learn fundamental notions of probability theory, I guarantee that this course is for you. In fact, I offer a 30 day money back guarantee.

In this course you will learn fundamental notions of discrete probability theory such as sample space, distribution function, probability, and random variables.

You will learn how to use diagrams and trees to compute probabilities of various events. In particular, you will

  • learn how to estimate bankruptcy risks,
  • learn that in theory you can always win in a fair game, but in practice you should not attempt to do so,
  • learn how to solve the problem from introduction,
  • learn a paradox that puzzles even professional mathematicians.


What are the requirements?

  • no materials/software are required
  • lectures 1-11, 13, 14, 16, 18-20 require only arithmetic skills
  • lectures 12, 15 , 17 require some knowledge of calculus

What am I going to get from this course?

  • 12 lectures with theory and motivations that every student taking a course in probability theory has to know (lectures 2, 3, 6-14, 16, 21)
  • 7 lectures with fun examples you'll never forget (lectures 4, 5, 15, 17-20)
  • learn how to estimate bankruptcy risks (lecture 17)
  • learn that in theory you can always win in a fair game, but in practice you should not attempt to do so (lecture 9)
  • learn how to solve the problem from introduction (lecture 20)
  • learn a paradox that puzzles even professional mathematicians (lecture 19)

What is the target audience?

  • students taking a regular course in probability theory
  • anyone interested in probability theory

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.

Curriculum

Section 1: Welcome to the Course
Introduction
Preview
03:35
Sample Space
05:34
Sample space
3 questions
Distribution function and probability of events
05:44
2 questions

These questions are just for fun! Try to guess the right answers. We will discuss these problems in detail in Lecture 3.

Of course, if you can solve these problems right away - that's just fantastic!

D’Alambert paradox
04:52
Subtle choices of sample spaces
2 questions
Subtle choices of sample spaces
04:54
Uniform distributions
1 question
Uniform distributions
04:13
Unions of events
1 question
Unions of events
04:16
Probability of unions of events
1 question
Probability of disjoint unions of events
06:37
Doubling strategy
4 questions
P(sample space) = 1. Paradox of the doubling strategy
04:30
Complements
1 question
Probability of complementary events
Preview
05:02
Summary of properties of probability
1 question
Summary of properties of probability P
04:30
Probability of the union of any two events
1 question
Probability of the union of any two events
07:39
Further properties of probability function
04:06
Tree diagrams
2 questions
Tree diagrams
05:38
A trick for solving infinite tree problems
2 questions
A trick for solving infinite tree problems
04:53
Calculating probabilities with trees
2 questions
Calculating probabilities with trees
05:13
Risk Management
2 questions
Risk management
04:01
The Gambler's ruin problem
3 questions
The Gambler’s ruin problem
06:34
A problem with no definitive solution
1 question
A problem with no definitive solution
06:34
The problem from introduction
Preview
04:16
Random variables
04:54
Section 2: 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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