Probability and Combinatorics
How likely is an event likely to happen? This is an essential question that is asked by professionals in a host of different fields. Probability helps to quantify a response, often relying on algorithms of combinatorics to count the number of favorable outcomes in a given scenario. Maybe you want to understand the efficacy of a revolutionary cancer treatment better, or think more critically about the P-values that deem a trial successful or unsuccessful. Maybe you are curious about the decision-making of professional poker players, or are interested to explore how meteorologists use this same theoretical math in their daily forecast of the weather. Maybe you see probability in sports, or combinatorics in computer science. Whatever the application is that interests you, here you will develop the advanced algorithms for counting which provide the groundwork for probability theory. In this course, you will develop an understanding of the mathematics that helps to inform the decisions we make every day.
Students can opt to take this class at the Honors level
Prerequisites: Integrated Math 3 or Algebra 2 and Geometry
- Interests: Business, Engineering, Math, Politics, Sports
- Grades: 11th, 12th
- Subjects: Mathematics
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- Digital Art
- Financial Algebra
- Mathematics, Design, and Art
- Matrices and Linear Algebra
- Physics Applications – Engineering
- Sports Literature
- Advanced Digital Art
- Physics Applications – Sustainable Energy
- Black Joy: 1877-1940s
- Socio-Economics of Sports
- Graphic Design
- Intro to Photography
- Installation Art
- Student Directed Project – SDP
- Religions and Beliefs
- Advanced History: Theories of Punishment (Honors)
- Discrete Mathematics
- Governments From Around the World
- Advanced Design & Tech (Honors)
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- Advanced Engineering Design – Project Studio (Honors)
- Identity, Race, and Class
- Design & Tech Studio
- Integrated Math 2: Algebra, Geometry, and Data Science
- Media and Its Influences
- Entrepreneurship with a Purpose
- Calculus – Derivatives & Integrals
- Introduction to Investing
- English 10: American Literature
- English 9: Power and Perspectives
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- Advanced Topics (Honors)
- PreCalculus – Trigonometry
- PreCalculus – Functions
- Forensic Science – CSI BVR
- Advanced Physics – Electricity & Magnetism (Honors)
- Advanced Physics – Mechanics (Honors)
- Advanced Calculus – Derivatives & Integrals (Honors)
- Physics Foundations – Motion
- Integrated Math 3: Algebra, Geometry, and Data Science
- Foundations of French
- Global History III: World History
- Global History II: U.S. and World History
- Global History I: U.S. History
- Theories of Justice
- Artists’ Response to Social Change
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Courses with Similar Grades
- Padel
- Digital Art
- Advanced Photography
- Financial Algebra
- Mathematics, Design, and Art
- 13.1 Project
- Running Team
- Spring Volleyball
- Yoga
- Sports Performance and Fitness
- Spin Class
- Rock Climbing
- Bowling
- E-Sports
- Design Studio
- Dialects of the Arab World
- Printmaking
- Social Media: Unraveling the Layers of our Digital Realities
- Literature of Lies
- Zero to Hero: The Hero’s Journey to Character
- Madness to Mental Health
- What’s App! Innovation and App Design
- Project Lab: Design Your Future
- Spring Athletics: Fitness Offerings
- Spring Athletics: Interscholastic Sports
- Spring Musical: Costume Construction and Design
- Spring Musical: Technical Theater
- Spring Musical
- Winter Athletics: Fitness Offerings
- Winter Athletics: Interscholastic Sports
- Dance
- Winter Advanced Theater & Winter Musical: Costume Construction and Design
- Winter Advanced Theater: Technical Theater
- Winter Play: Experimental Theater Project
- Hiatt Independent Opportunity
- BVR HAX
- Fall Athletics: Fitness
- Fall Athletics: Interscholastic Sports
- Visual Art Workshop
- Afternoon Band
- Fall Play: Costume Construction and Design
- Fall Play: Technical Theater
- Fall Play: Acting
- Matrices and Linear Algebra
- Sports Literature
- Advanced Studio Practice
- Advanced Mixed Media
- Advanced Sculpture
- Advanced Drawing + Painting
- Advanced Ceramics
- Advanced Digital Art
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- Urbanism + the Built Environment
- Ceramics
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- Crime Literature
- Socio-Economics of Sports
- Philosophy: The Meaning of Life through Ethical Dilemmas
- Graphic Design
- Mixed Media
- Drawing + Painting
- Installation Art
- Literature of Food
- Student Directed Project – SDP
- Screenwriting
- Religions and Beliefs
- Beatmaking and Electronic Music
- Chemistry Applications – Physical Chemistry
- Chemistry Applications – Biochemistry
- Beginning Guitar/Piano
- Social Psychology: To be is to be perceived!
- Photography: Alternative Processes
- Advanced Costume Design and Construction (Honors)
- Advanced History: Theories of Punishment (Honors)
- Discrete Mathematics
- Studio Practice
- Governments From Around the World
- Chroma
- Choreography Foundations
- Costume & Fashion Design Studio
- Other Activities – Fall
- Other Activities – Winter
- Other Activities – Spring
- Arts Activities
- Arts Activities
- Biology Applications – Neuroscience
- A Cappella Foundations
- Advanced Design & Tech (Honors)
- Engineering Applications – Robotics
- Melville’s Moby Dick or The Whale
- Afro-Caribbean Ensemble
- Drama Workshop
- Biology Applications – DNA and Genetics
- Biology Applications – Marine Ecology
- Biology Foundations – The Structure & Function of Human Life
- Chemistry Applications – Quantitative Analysis
- Chemistry Foundations – Atoms and Reactions
- Advanced Chinese
- Advanced Spanish
- Advanced French
- Intermediate Chinese
- Advanced Engineering Design – Project Studio (Honors)
- Identity, Race, and Class
- Advanced History: Independent Research (Honors)
- Intermediate Arabic
- Foundations of Arabic
- Short Stories
- Video: Moving Media
- Design & Tech Studio
- Instrumental Ensemble II
- Foundations of Chinese
- Chinese Introduction to Conversation and Storytelling
- Media and Its Influences
- Entrepreneurship with a Purpose
- Calculus – Derivatives & Integrals
- Introduction to Investing
- Storytelling Workshop
- Great Books
- Literature and Film
- Senior Studio (Honors)
- Sculpture
- Statistics and Data Science
- Advanced Biology – Anatomy and Physiology (Honors)
- Advanced Topics (Honors)
- PreCalculus – Trigonometry
- PreCalculus – Functions
- Forensic Science – CSI BVR
- Physics Applications – Astronomy
- Advanced Physics – Electricity & Magnetism (Honors)
- Advanced Physics – Mechanics (Honors)
- Advanced Chemistry – Organic Chemistry (Honors)
- Advanced Calculus – Derivatives & Integrals (Honors)
- Integrated Math 3: Algebra, Geometry, and Data Science
- B-Side A Cappella
- Ikonoclastic
- Jazz Combo
- Instrumental Ensemble I
- Select Singers (Honors)
- Advanced Theater (Honors)
- Actors’ Showcase
- Scene Study
- Intermediate Acting
- Intermediate Spanish
- Foundations of Spanish
- Spanish Introduction to Conversation and Storytelling
- Intermediate French
- Foundations of French
- French Introduction to Conversation and Storytelling
- English 11: The View Within
- Global History III: World History
- Theories of Justice
- Artists’ Response to Social Change
Courses with Similar Subjects
- Financial Algebra
- Mathematics, Design, and Art
- Matrices and Linear Algebra
- Student Directed Project – SDP
- Discrete Mathematics
- Foundations for Algebraic Reasoning
- Integrated Math 2: Algebra, Geometry, and Data Science
- Calculus – Derivatives & Integrals
- Statistics and Data Science
- Advanced Topics (Honors)
- PreCalculus – Trigonometry
- PreCalculus – Functions
- Advanced Calculus – Derivatives & Integrals (Honors)
- Integrated Math 3: Algebra, Geometry, and Data Science
- Math 8 – Relationships: Making and Modeling Connections with Geometry, Algebra, and Statistics
- Math 7 – Things Change: Linear Rates And Proportionality
- Math 6 – Fair vs Equal: Division, Decomposing, And Distribution