Introduction to Probability
  • What does the course cover?
  • What is the probability formula?
  • What is the probability formula?
  • How to compute expected values?
  • How to compute expected values?
  • What is a probability frequency distribution?
  • What is a probability frequency distribution?
  • What is a complement?
  • What is a complement?
Combinatorics
  • Why are combinatorics useful?
  • Why are combinatorics useful?
  • When do we use Permutations?
  • When do we use Permutations?
  • Solving Factorials
  • Solving Factorials
  • Why can we use certain values more than once?
  • Why can we use certain values more than once?
  • What if we couldn't use certain values more than once?
  • Computing Variations without Repetition
  • What are combinations and how are they similar to variations?
  • What are combinations and how are they similar to variations?
  • What is "symmetry" in Combinations?
  • What is "symmetry" in Combinations?
  • How do we combine combinations of events with separate sample spaces?
  • How do we combine combinations of events with separate sample spaces?
  • What is the chance of a single ticket winning the lottery?
  • What is the chance of winning the lottery?
  • A Summary of Combinatorics
  • Practical Example: Combinatorics
Bayesian Inference
  • What is a set?
  • What is a set?
  • What are the different ways two events can interact with one another?
  • What are the different ways two events can interact with one another?
  • What is the intersection of sets A and B?
  • What is the intersection of sets A and B?
  • What is the union of sets A and B?
  • What is the union of sets A and B?
  • Are all complements mutually exclusive?
  • Are all complements mutually exclusive?
  • What does it mean to for two events to be dependent?
  • What does it mean to for two events to be dependent?
  • What is the difference between P(A|B) and P(B|A)?
  • What is the difference between P(A|B) and P(B|A)?
  • Conditional Probability in Real-Life
  • How do we apply the additive rule?
  • How do we apply the additive rule?
  • How do we derive the Multiplication Rule formula?
  • How do we interpret the Multiplication Rule Formula?
  • When do we use Bayes' Theorem in Real Life?
  • Bayes' Theorem
  • Practical Example: Bayesian Inference
Distributions
  • What is a probability distribution?
  • What is a probability distribution?
  • What are the two main types of distributions based on the type of data we have?
  • What are the two main types of distributions based on the type of data we have?
  • Discrete Distributions and their characteristics.
  • Discrete Distributions and Their Characteristics.
  • What is the Discrete Uniform Distribution?
  • What is the Discrete Uniform Distribution?
  • What is the Bernoulli Distribution?
  • What is the Bernoulli Distribution?
  • What is the Binomial Distribution?
  • What is the Binomial Distribution?
  • What is the Poisson Distribution?
  • What is the Poisson Distribution?
  • What is a Continuous Distribution?
  • What is a Continuous Distribution?
  • What is a Normal Distribution?
  • What is a Normal Distribution?
  • Standardizing a Normal Distribution
  • How do we Standardize a Normal Distribution?
  • What is a Student's T Distribution?
  • What is a Student's T Distribution?
  • What is a Chi Squared Distribution?
  • What is a Chi-Squared Distribution?
  • What is an Exponential Distribution?
  • What is an Exponential Distribution?
  • What is the Logistic Distribution?
  • What is a Logistic Distribution?
  • Practical Example: Distributions
Tie-ins to Other Fields
  • Tie-ins to Finance
  • Tie-ins to Statistics
  • Tie-ins to Data Science