Basic Probability Theory
Master the essentials through 21 focused micro-lessons you can complete at your own pace.
What You’ll Learn
Course Modules
Understanding Random Experiments and Outcomes
Learn the definition of a random experiment and how to identify potential outcomes.
Defining Sample Spaces and Events
Explore how to list all possible outcomes in a sample space.
The Classical Approach to Probability
Calculate probability based on equally likely outcomes.
Fundamental Axioms of Probability Theory
Study the core mathematical rules that govern all probability calculations.
Calculating Probabilities of Complementary Events
Understand how to find the probability of an event not occurring.
Addition Rule for Mutually Exclusive Events
Learn to combine probabilities when events cannot happen simultaneously.
General Addition Rule for Overlapping Events
Adjust probability calculations when events share common outcomes.
Fundamentals of Conditional Probability
Analyze how the probability of an event changes given new information.
Multiplication Rule for Dependent Events
Determine the joint probability of two sequential dependent events.
Identifying and Testing Independent Events
Explore the mathematical criteria that define independence between two events.
Applying the Law of Total Probability
Calculate the total probability of an event across several partitions.
Using Bayes Theorem for Posterior Probability
Learn to update the probability of a hypothesis based on evidence.
Introduction to Discrete Random Variables
Understand variables that take on a countable number of distinct values.
Working with Probability Mass Functions
Map discrete outcomes to their respective probabilities using a PMF.
Calculating Expected Value for Discrete Variables
Determine the long-term average value of a random variable.
Measuring Variance and Standard Deviation
Quantify the spread or dispersion of a random variable's values.
The Binomial Distribution and Bernoulli Trials
Model experiments with only two possible outcomes and fixed trials.
Modeling Rare Events with Poisson Distribution
Analyze the number of events occurring within a fixed interval.
Introduction to Continuous Random Variables
Study variables that can take any value within a range.
Understanding Probability Density Functions
Learn how to find probabilities for continuous variables using area.
The Normal Distribution and Z-Score Calculation
Explore the bell-shaped curve and standardizing continuous data.
Ready to Start Learning?
Master Basic Probability Theory at your own pace. Begin with Module 1 and progress through all 21 modules.