Learn Applied Probability

Description

In this course, you will :

• Explore probability applications in physics, meteorology, and tennis!
• Learn to simplify problems by shifting your perspective to consider the likelihood that an event will NOT occur.
• Explore the mathematics governing the probabilities of dependent events.
• What is the relationship between the probability of A given B and the probability of B given A?
• Explore problems where misconceptions are common, such as the Monty Hall problem.
• Learn about Markov chains and how to use them to forecast the weather.
• Discover the mind-boggling power of counting the same thing twice!

Syllabus :

1. Intro to Probability

• Thinking Probabilistically
• Using Outcomes
• Applications

 

2. Probability Rules

• Rule of Sum and Rule of Product
• Inclusion-Exclusion
• The Rule of Complement
• Problem Solving

 

3. Conditional Probability

• Defining Conditional Probability
• Applying Conditional Probability
• Bayes' Theorem
• Misconceptions

 

4. Probability Applications

• The Tennis Problem
• Probability in Science
• Probability in Economics
• Probability in Quality Control

 

5. Advanced Techniques

• Geometric Probability
• Bijections
• Recursion
• Markov Chains

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