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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
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Section 1: Welcome to the Course  

Lecture 1 
Introduction
Preview

03:35  
Lecture 2 
Sample Space

05:34  
Quiz 1 
Sample space

3 questions  
Lecture 3 
Distribution function and probability of events

05:44  
Quiz 2  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! 

Lecture 4 
Dâ€™Alambert paradox

04:52  
Quiz 3 
Subtle choices of sample spaces

2 questions  
Lecture 5 
Subtle choices of sample spaces

04:54  
Quiz 4 
Uniform distributions

1 question  
Lecture 6 
Uniform distributions

04:13  
Quiz 5 
Unions of events

1 question  
Lecture 7 
Unions of events

04:16  
Quiz 6 
Probability of unions of events

1 question  
Lecture 8 
Probability of disjoint unions of events

06:37  
Quiz 7 
Doubling strategy

4 questions  
Lecture 9 
P(sample space) = 1. Paradox of the doubling strategy

04:30  
Quiz 8 
Complements

1 question  
Lecture 10 
Probability of complementary events
Preview

05:02  
Quiz 9 
Summary of properties of probability

1 question  
Lecture 11 
Summary of properties of probability P

04:30  
Quiz 10 
Probability of the union of any two events

1 question  
Lecture 12 
Probability of the union of any two events

07:39  
Lecture 13 
Further properties of probability function

04:06  
Quiz 11 
Tree diagrams

2 questions  
Lecture 14 
Tree diagrams

05:38  
Quiz 12 
A trick for solving infinite tree problems

2 questions  
Lecture 15 
A trick for solving infinite tree problems

04:53  
Quiz 13 
Calculating probabilities with trees

2 questions  
Lecture 16 
Calculating probabilities with trees

05:13  
Quiz 14 
Risk Management

2 questions  
Lecture 17 
Risk management

04:01  
Quiz 15 
The Gambler's ruin problem

3 questions  
Lecture 18 
The Gamblerâ€™s ruin problem

06:34  
Quiz 16 
A problem with no definitive solution

1 question  
Lecture 19 
A problem with no definitive solution

06:34  
Lecture 20 
The problem from introduction
Preview

04:16  
Lecture 21 
Random variables

04:54  
Section 2: Thank you!  
Lecture 22 
Thank you!

1 page 
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.