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COLE'S WORLD OF MATHEMATICS
  • Home
  • YouTube Channel
    • All Playlists on YouTube
  • TI-84 Tutorials
  • M105 at IUK
    • TI-84 Tutorials
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 4
    • Chapter 8
    • Test Review
    • Released Exams & Quizzes
  • ACP Calculus at THS
    • Calculus Class Pictures
    • ACP Calculus - IU
    • Memorization Sheets
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 8
  • Finite Math at THS
    • Finite Math Student Inventory
    • TI-84 Tutorials
    • Career Research Project
    • Inductive & Deductive Reasoning Unit
    • Topology Unit
    • Graph Theory Unit
    • Set Theory Unit
    • Combinatorics Unit
    • Probability Unit
    • Cryptography Unit
    • Statistics Unit
    • Matrices Unit
    • Number Theory Unit
    • Optimization Unit
    • Game Theory Unit
    • Projects
  • Cole's World of Mathematics Legal
COLE'S WORLD OF MATHEMATICS
Probability Unit
Gerolamo Cardano lived in the 16th Century and is known as the “Father of Probability”.  He lived in Italy and was a renaissance mathematician.   He made many contributions to the field of Algebra and is credited with introducing binomial coefficients and the binomial theorem.

He was very smart, but he was considered strange and weird by many people and he didn’t have very many friends.  He was always short of cash, but he was an accomplished gambler and chess player, and he made enough money doing that to support himself.  
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Gerolamo Cardano (1501 - 1576)
He discovered many of the properites of probability and even wrote a book on probability called “Liber de ludo aleae”, but the book was not published until a hundred years after he died.  In the years following his death, mathematicians began to understand more about the theory of probability, and they recognized how much Cardano had actually contributed to the field.  Thus, he earned the title of “Father of Probability”

Lecture Notes & Other Resources
TENTATIVE SCHEDULE FOR THE UNIT

Probability - Day 1
Introduction to Tree Diagrams & Independent/Dependent Probabilities

Probability - Day 2
Introduction to "AND" and "OR" Probabilities

Lecture Notes with Examples for "AND" and "OR"

Summary of Probability Formulas

-----VIDEO: Probabilities Involving "AND"

-----VIDEO: 2 Examples Of Probability With and Without Replacement

-----VIDEO: Probabilities Involving "OR"

Probability - Day 3
Theoretical Probability vs Experimental Probability

Law of Large Number Research Assignment

Edward O. Thorp (The Father of Card Counting) Research Assignment

-----VIDEO: The Math Behind Casino Games
Simulation Illustrating the Law of Large Numbers
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A coin that is red on one side and blue on the other is flipped, and a dot is added in the corresponding column. A pie chart shows the proportion of red and blue. Notice that while the proportion varies significantly at first, it approaches 50% as the number of trials increases.

Probability - Day 4
The True Story of the MIT Blackjack Team

-----VIDEO: Breaking Vegas Documentary - The True Story of the MIT Blackjack Team

-----VIDEO PLAYLIST: Breaking Vegas (The ENTIRE STORY)

Probability - Days 5 and 6
The Movie "21"

Probability - Days 7, 8, and 9
Probability Project: Design Your Own Game

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​Cole's World of Mathematics.
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