Casino Probability

Learn how to beat the house (or why you can't) while building your foundational probability skills.



Avoid the Scam

The Rules of Blackjack

Infinite Decks

Blackjack Strategies

Optimizing Profit

The Rules of Craps

Any Time Bets

The Pass and Don't Pass Lines

Betting Strategy

The House Advantage

Basic Card Probabilities

Poker Hands

The Rules of Texas Hold'Em


Course description

Learn how to beat the house! Or, if that's not possible, at least learn how much of an edge they have. In this course, you'll analyze three specific casino games: blackjack, craps, and poker. And, while you're learning how to master these games, you'll also strengthen your skills working with many foundational probability topics including probability trees and conditional probability. Some prior knowledge of probability at the level of the Probability Fundamentals course is useful for tackling this material. Additionally, a strong foundation with algebra is assumed as a prerequisite.

Topics covered

  • Blackjack
  • Casino Craps
  • Complementary Probability
  • Conditional Probability
  • Dice Games
  • Expected Value
  • Poker
  • Probability Trees


  • Introduction to Probability
  • Reasoning with Algebra