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In this course we will start from scratch defining experiments, events and probability, but quickly move to start calculating some probabilities. You will learn the fundamental properties and rules we need in order to be able to calculate more complex probabilities, such as the product and addition rule. Also, you will learn about conditional probability and independence, and Bayes’ rule and how to use it. By the end of the course, you will be able to tell how likely it is to get a royal flush in a hand of 5 poker cards, or to decide what is the probability of having a certain rare disease given that the test gave a positive result.
Duration
10 hours
Difficulty
novice
INE's world-class IT trainingInstructor for this course
Aylen Martinez Lopez
This course is composed by the following modules
INE's world-class IT training
Module 1
Introduction1 video
Course Introduction
Module 2
Basic Probability Notions7 exercise, 8 videos
Experiments
Performing experiments
Outcomes and Sample Space
Probability
Estimating probabilities empirically
Estimating age probabilities
Probability Scale
Hotel tourist visitors
Events
Creating custom events
Two Special Events
Special events
Probabilities Add Up To 1
Sum of living city probabilities
Summary 1
Module 3
Calculating Simple Probabilities7 videos
Equally Likely Results
Events with Equally Likely Results
Using Venn Diagrams to Calculate Probabilities
Using Combinatorics to Calculate Probabilities
Events without Equally Likely Results
Probability of Complements
Summary 2
Module 4
Introducing Probability Rules1 lab, 5 videos
Introducing the Product Rule
Introducing the Addition Rule
Generalizing the Rules
Comparing Theoretical and Empirical Probabilities
Project: Comparing Theoretical and Empirical Probabilities
Summary 3
Module 5
Calculating More Complex Probabilities3 exercise, 5 videos
The Limitations of the Addition Rule
Mutually Exclusive Events
The Addition Rule
Calculating probabilities
Generalizing the Addition Rule
Using the Inclusion–Exclusion Principle
Inclusion–Exclusion Principle on real data
Summary 4
Module 6
Conditional Probability and Independence3 exercise, 6 videos
The Limitations of the Product Rule
Defining Independence
Choices With and Without Replacement
Churn probabilities
Conditional Probability
Conditional Probability
Formalizing Independence
Independent events
Summary 5
Module 7
Bayes' Rule1 lab, 2 exercise, 3 videos
Law of Total Probability
Law of Total Probability
Bayes' Rule
Playing with Bayes'
Summary 6
Final project: Taxi accident
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