fbpx
Skip to content Skip to main menu
Problem Solved Math
Menu
  • Home
  • About
    • About PSM
    • FAQs
  • Courses
    • 6th Grade Math
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Whole Numbers & Decimals
      • Chapter 2: Representing Data In Different Ways
      • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
      • Chapter 4: Divisibility, Factoring Numbers, & Fractions
      • Chapter 5: Addition and Subtraction of Fractions
      • Chapter 6: Multiplication and Division of Fractions
      • Chapter 7: Ratios, Proportions, and Percents
      • Chapter 8: Fundamentals of Geometry
      • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
      • Chapter 10: Introduction to Probability
      • Chapter 11: Integers – Properties, Operations, & Equations
      • Chapter 12: Two-Step Equations and Inequalities
    • Pre-Algebra
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions & Operations with Integers
      • Chapter 2: One-Step Equations & Inequalities
      • Chapter 3: Operations and Equations With Decimals
      • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
      • Chapter 5: Fraction Operations & Solving Equations with Fractions
      • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
      • Chapter 7: Solving Equations and Inequalities
      • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
      • Chapter 9: Foundations of Geometry
      • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
      • Chapter 11: Right Triangles and An Introduction to Trigonometry
      • Chapter 12: Data Analysis: Techniques and Calculations
      • Chapter 13: Probability, Combinations, and Permutations
      • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
    • Algebra 1
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions and Operations with Real Numbers
      • Chapter 2: Solving Equations – From One-Step to Multi-Step
      • Chapter 3: Ratios, Proportions, & Percents
      • Chapter 4: Solving Inequalities
      • Chapter 5: Introduction to Graphs and Functions
      • Chapter 6: Linear Functions and Graphing Lines
      • Chapter 7: Systems of Linear Equations and Linear Inequalities
      • Chapter 8: Exponent Rules & Exponential Functions
      • Chapter 9: Polynomials
      • Chapter 10: Graphing and Solving Quadratic Equations
      • Chapter 11: Introduction to Rational Expressions
      • Chapter 12: Radicals and An Introduction to Trigonometry
      • Chapter 13: Data Analysis: Techniques and Calculations
      • Chapter 14: Probability, Combinations, and Permutations
    • Calculus 1 & 2 / AB / BC
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1 – Limits
      • Chapter 2 – Derivatives
      • Chapter 3 – Uses of the Derivative
      • Chapter 4 – Integration
      • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
      • Chapter 6 – Differential Equations and Exponential & Logistic Growth
      • Chapter 7 – Area, Volume, and Arc Length
      • Chapter 8 – Advanced Integration Techniques and Improper Integrals
      • Chapter 9 – Series and Tests for Convergence and Divergence
      • Chapter 10 – Taylor Polynomials and Power Series
      • Chapter 11 – The Calculus of Parametric and Polar Equations
  • Free Videos!
  • Pricing
  • Contact
  • Log In
Home › Courses › Pre-Algebra › Archive for Chapter 13: Probability, Combinations, and Permutations
» Ask a Question
  • This field is for validation purposes and should be left unchanged.

Chapter 13: Probability, Combinations, and Permutations

This chapter is a deep dive introduction into a serious study of probability and counting the number of ways things in this world can happen! Your rad road starts with an introduction to theoretical probability. From there you will learn about the counting principle and why it works (so very cool!!!). A short hop from here you will learn about compound events – A.K.A. independent and dependent events. Your studies continue with permutations, combinations, and a new math operation – factorials!! The chapter ends with explorations into experimental probability and using probability to make predictions. The world around us is full of seemingly countless possibilities and chances…learn how to calculate some of these scenarios!

Not a member yet?  Click here to check out a bunch of free videos to see what makes our approach extraordinary!

Lesson 1 – Introduction to Theoretical Probability

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 2 – The Counting Principle

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 3 – Probability of Compound Events

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 4 – Permutations and Factorials

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 5 – Combinations

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 6 – Experimental Probability

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations

Lesson 7 – Using Probability to Make Predictions

Posted on April 23, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 13: Probability, Combinations, and Permutations
  • positive review  It was like divine intervention when my son ASKED me (I know right??) if he could take a class leading up to honors Algebra 2 in the Fall. That same day I came across Matt’s summer offerings. Matt was the perfect teacher - engaging, passionate and fun - and my son really enjoyed taking his class (ENJOYED math in the summer? I know right?). THANK YOU MATT!! He’s ready 👍

    Sharon Bove Avatar Sharon Bove
    August 20, 2019

    5 star review  Matt’s excitement for learning boosted my sons confidence. He showed him ways to solve problems and feel confident. That in itself is amazing. I highly recommend Matt. No doubt your child’s grade or SATs will soar.

    Amy Tillia Carr Avatar Amy Tillia Carr
    October 11, 2017
  • 5 star review  Matt is incredible at translating the difficult to understand into easy to learn concepts. He helped our son who was struggling with calculus to attain good grades. We can't recommend him highly enough !

    Dena Cimakosky Scalamandre Avatar Dena Cimakosky Scalamandre
    January 22, 2017

    5 star review  We found Mr. Groden on a community Facebook page and it was a wonderful experience for my son. He is extremely patient and very knowledgeable. I would highly recommend him to any student looking for help.

    Lisa Rogers Avatar Lisa Rogers
    August 26, 2017
  • 5 star review  My daughter was fortunate to have Mr. Groden for both AP Calc AB and BC and she rocked both classes and the AP exam. Now a college junior she's already sailed though Calc 4 and we attribute her success to the foundation she received from Mr. Groden. He loves teaching and motivating his students and that enthusiasm radiates through everything he does.

    Stacey Poppel Groder Avatar Stacey Poppel Groder
    January 16, 2017

    positive review  Matt does a fantastic job of helping the students understand how to apply formulas and why they work! He never just has the students memorize formulas. My son really liked his approach and it helped that he made videos to refer to when he needed a refresher during the week. I would highly recommend his courses!

    Kelley Magee Coyne Avatar Kelley Magee Coyne
    August 15, 2018
  • 5 star review  Matt Groden's enthusiasm is contagious. He is very engaging and truly helped my son connect different math concepts.

    Andrea Okin Epstein Avatar Andrea Okin Epstein
    August 28, 2017

    5 star review  My daughter enjoyed her Alg I review and jump start on Alg II tutoring. Something about the way Matt explained concepts made sense to her. He spoke to her in a way that helped build her confidence and made math less intimidating for her. Highly recommend!

    Crystal Woehr Sabalaske Avatar Crystal Woehr Sabalaske
    August 31, 2018
  • positive review  Love. :) My daughter took Matt’s AP Calc prep class, and my son watched the algebra prep videos. Both loved, especially my daughter who now wants to sign up for every class Matt offers. Thank you for approaching teaching in such a fun and engaging way!! So highly recommend. :)

    Erica Desrosiers Avatar Erica Desrosiers
    August 16, 2019

    5 star review  While I've never been tutored by Mr. Groden, he was one of my absolute favorite teachers. He always put in the extra effort to explain concepts, and did so so well that many of his students could attest to the fact that even Calculus BC was understandable if you had Mr. Groden for your teacher. Besides that, he made every one of his 26 students in my class excited by Calculus, by sheer force of his constant energy and emphasis of what the concepts could do. Highly recommend for tutoring!

    Philip Genovese Avatar Philip Genovese
    August 10, 2017
  • 5 star review  Because he was in this class, my son spent more time doing SAT practice tests this summer than he otherwise would have. I didn't have to "nag" him to do practice tests...so, I appreciate that! He ended up knowing alot of the kids in the class, so he enjoyed it. It was also nice to do this in the summer when his schedule was less-busy. The teachers are high energy, well-respected and admired by the kids.

    Ann-Marie Delworth Avatar Ann-Marie Delworth
    September 7, 2017

    positive review  My youngest son took the Algebra 1 course to keep up his skills during summer and loved it. My oldest son had Matt for AP Calculus a few years ago and loved it. Matt Groden is a fun, patient, pleasant, very effective teacher who shows your child how to understand and love math, not dread it!

    Kathleen Ponento Avatar Kathleen Ponento
    September 3, 2019
  • 5 star review  Matt Groden was a fantastic SAT tutor for my boys. They were very reluctant to have help, but he was able to immediately win them over because of both his knowledge and confidence. The test-taking skills they learned from him definitely helped them approach the test calmly and with confidence, and their scores reflected that. I would absolutely recommend Matt to help your child with math or SAT prep. He clearly loves teaching math and knows how to do so!

    June Kurtz Black Avatar June Kurtz Black
    January 8, 2018

    positive review  Mr. Groden is an energetic, dynamic teacher who truly cares about his students. He uses real-world examples and innovative teaching practices to help his students learn the concepts and to develop a passion about mathematics.

    Megan Swope Avatar Megan Swope
    August 17, 2018
  • 5 star review  Mr. Groden's enthusiasm and energy for teaching math is unparalleled. My son attended Mr. Groden's AP calculus test prep course and looked forward to the sessions. He feels completely prepared for the AP test. Thank you!

    Leann Marseglia Collins Avatar Leann Marseglia Collins
    May 7, 2017

    5 star review  I think it is clear to anyone who has worked with Mr. Groden that he has a very special ability to empower and inspire the youth, and to teach in ways that resonate for all. His patience, compassion, flexibility, and incredibly thorough understanding of the math combine to help students realize our greatest potential -- sometimes potential that we didn’t even know was there until he helped us find it. In addition to being an amazing teacher, he is a great role model and friend to anyone he meets. So easy to talk to, so caring, so kind -- the most genuine person. I would be doing a disservice to the community if I did not spread the world about the incredible opportunity to learn with him. 5million stars

    Avery Willner Avatar Avery Willner
    January 19, 2018
  • 5 star review  Thanks to Matt and Anthony for a comprehensive and enjoyable SAT Prep program for our daughter. We'll be back with our younger daughter when the time comes!

    Heidi Heckathorne Adams Avatar Heidi Heckathorne Adams
    November 2, 2017

    5 star review  Matt cannot be more highly recommended as a math tutor or teacher. His ability to explain difficult concepts in an easy to understand fashion is phenomenal. The enthusiasm he displays is contagious and allows the student to become more actively engaged. He always tries to relate the topics to areas of interest and works hard to make a personal connection.

    Glenn Spike Geist Avatar Glenn Spike Geist
    February 1, 2017
  • positive review  Thank you for offering these summer courses. I think it is important to keep up the skills over the summer and not get summer brain. You also have a wonderful teaching style which i know my daughter appreciates.

    Toni Snedeker Scratchard Avatar Toni Snedeker Scratchard
    August 26, 2019

    5 star review  Mr. Groden is passionate about teaching and leading his student to success. My son took his SAT prep course and he had nothing but praise for Mr. Groden. Not only is he a great teacher, but his students like and respect him and therefore are eager to learn. Every time I picked my son up from the class he had something positive to say. I would recommend Mr. Groden's tutoring or SAT Prep to anyone looking for real results from an enthusiastic and dedicated teacher.

    Tanika Wright Ciavardone Avatar Tanika Wright Ciavardone
    August 10, 2017
» Ask a Question
  • This field is for validation purposes and should be left unchanged.
    Back to Top ↑

    © Matt Groden
    Contact
    Privacy Policy
    © 2022 Problem Solved Math
    Responsive II powered by WordPress
    ↑
    • Home
    • About
      ▼
      • About PSM
      • FAQs
    • Courses
      ▼
      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
    • Free Videos!
    • Pricing
    • Contact
    • Log In