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 mastering these games, you'll also strengthen your skills working with many foundational probability topics including probability trees and conditional probability.

Interactive
quizzes

18

Concepts and
exercises

100+
  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
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      The Rules of Blackjack

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

    2. Included with
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      Infinite Decks

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

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      Optimizing Profit

      Should you hit or stay?

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      Strategic Play

      Practice your skill at probability with actual play scenarios.

  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

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      The Rules of Craps

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

    2. Included with
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      The Field

      Figure out the probability behind the simplest bet on the Craps board.

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      Big 6 and Big 8

      Are either of these bets a good idea?

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      Place Bets

      Consider bets on 4, 5, 6, 8, 9, and 10.

  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.

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      Advanced Card Probabilities

      Transition from cards to considering entire hands.

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      Poker Strategy

      Apply the probabilities of cards you've learned to poker hands.