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Casino Probability

Master mathematical strategies for winning casino games.

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.

Interactive
quizzes

16

Concepts and
exercises

130+
  1. 1

    Introduction

    "Casino games such as roulette, blackjack, baccarat, slot machines and so on, are stacked in favour of the house." – Victoria Coren Mitchell, professional poker player

    1. Cards

      Warm up your probability skills with some card-based puzzles.

    2. Dice

      Get some probability and expected value practice with dice.

    3. Avoid the Scam

      Analyze two real casino games; how much do they favor the house? Do the math and find out!

  2. 2

    Blackjack

    "Blackjack is very scientific. There's always a right answer and a wrong answer. Do you take a card, increase your bet, bet big or bet small. There's absolutely a right and wrong answer." – Charlie Ergen, businessman and billionaire

    1. Included with
      Brilliant Premium

      The Rules of Blackjack

      To play Blackjack, first you need to know the rules.

    2. Included with
      Brilliant Premium

      Infinite Decks

      Infinite decks simplify the math so that's how we'll begin.

    3. Included with
      Brilliant Premium

      Blackjack Strategies

      Practice your skill at blackjack with actual play scenarios.

    4. Included with
      Brilliant Premium

      Optimizing Profit

      Work out the math behind doubling down, splitting pairs, and insurance.

  3. 3

    Casino Craps

    "Life is a big craps game. I've got to tell you, it's all been fun." – Kirk Kerkorian, casino owner and billionaire

    1. Included with
      Brilliant Premium

      The Rules of Craps

      Learn the basic rules behind Pass and Don't Pass.

    2. Included with
      Brilliant Premium

      Any Time Bets

      Study the mathematics of the Field, place bets, Big 6 and Big 8.

    3. Included with
      Brilliant Premium

      The Pass and Don't Pass Lines

      Work out how much you'll win on Pass and Don't Pass.

    4. Included with
      Brilliant Premium

      Betting Strategy

      Compile what you've learned into an optimal betting strategy.

  4. 4

    Poker

    "Investing in a poker game and investing in stocks, at least the way I do it, it's a very similar skill set." – David Einhorn, investor and billionaire

    1. Included with
      Brilliant Premium

      Basic Card Probabilities

      Get down the basic probabilities in drawing cards out of a deck.

    2. Included with
      Brilliant Premium

      Poker Hands

      Learn and find probabilities with the hierarchy of winning hands.

    3. Included with
      Brilliant Premium

      The Rules of Texas Hold'Em

      Apply your skills to one of the most popular Poker variants.

    4. Included with
      Brilliant Premium

      Strategy

      Fold or bet?