# Ch 3: Michigan Merit Exam - Math: Counting & Probabilistic Reasoning

### About This Chapter

## Michigan Merit Exam - Math: Counting & Probabilistic Reasoning - Chapter Summary

In this chapter, you can watch short and entertaining video lessons that will help you remember the link between Pascal's triangle and combinations. At the end of the lessons, you will find quizzes that will test you on how well you understand the idea of probability. This chapter's mixture of video lessons and quizzes will help you prepare adequately in the following areas:

- Ways of using the fundamental counting principle
- Connection between Pascal's triangle and combinations
- Basics of probability
- Probability of combinations
- Misconceptions in probability

Reviewing is made easy in this chapter in a number of ways. If you need to review specific parts of the video lessons, you can use the timeline to jump to them. You also have the option of reading through the video transcripts. They contain bold printed keywords to make you aware of the concepts in which you need to focus. Our instructors are experts who will be glad to answer any of your questions.

### Michigan Merit Exam - Math: Counting & Probabilistic Reasoning Objectives

The study material in this chapter directly links to the Quantitative Literacy and Logic part of the 4-part Michigan Merit Exam math section. The section contains approximately 25 multiple-choice questions in all. You might be asked questions that will require you to display your knowledge of counting methods and misunderstanding in probability.

### 1. How to Use the Fundamental Counting Principle

There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.

### 2. The Relationship Between Pascal's Triangle & Combinations

Pascal's triangle shows many important mathematical concepts like the counting numbers and the binomial coefficients. In this lesson, we show how Pascal's triangle is related to combinations.

### 3. Introduction to Probability: Formula & Examples

Ever taken a chance on something? Before you took that chance, did you want to know what your chances were on actually winning? Then you were dealing with probability, the likelihood that a specific event will occur.

### 4. How to Calculate the Probability of Combinations

To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.

### 5. How to Identify Common Probability Misconceptions

In this lesson, you will learn about a number of common misconceptions and how to avoid them. When will your luck change? What does it mean for a player to be on a hot streak? Here are a few and how to avoid them.

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### Other Chapters

Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

- Michigan Merit Exam - Math: Number Systems & Number Sense
- Michigan Merit Exam - Math: Representations & Relationships
- Michigan Merit Exam - Math: Using Real & Complex Numbers
- Michigan Merit Exam - Math: Sequences & Iteration
- Michigan Merit Exam - Math: Measurement Units, Calculations & Scales
- Michigan Merit Exam - Math: Understanding Error
- Michigan Merit Exam - Math: Mathematical Reasoning
- Michigan Merit Exam - Math: Language, Laws & Proof of Logic
- Michigan Merit Exam - Math: Using Algebraic Expressions
- Michigan Merit Exam - Math: Properties of Functions
- Michigan Merit Exam - Math: Working with Functions
- Michigan Merit Exam - Math: Lines & Linear Functions
- Michigan Merit Exam - Math: Absolute Values
- Michigan Merit Exam - Math: Inequalities
- Michigan Merit Exam - Math: Exponential & Logarithmic Functions
- Michigan Merit Exam - Math: Quadratic Functions
- Michigan Merit Exam - Math: Power Functions
- Michigan Merit Exam - Math: Polynomial Functions
- Michigan Merit Exam - Math: Rational Functions
- Michigan Merit Exam - Math: Trigonometric Functions
- Michigan Merit Exam - Math: Euclidean & Coordinate Geometry
- Michigan Merit Exam - Math: Triangles & Their Properties
- Michigan Merit Exam - Math: Triangles & Trigonometry
- Michigan Merit Exam - Math: Quadrilaterals & Their Properties
- Michigan Merit Exam - Math: Other Polygons & Their Properties
- Michigan Merit Exam - Math: Circles & Their Properties
- Michigan Merit Exam - Math: Conic Sections & Their Properties
- Michigan Merit Exam - Math: 3D Figures
- Michigan Merit Exam - Math: Comparing Area & Volume Formulas
- Michigan Merit Exam - Math: 2D & 3D Representations
- Michigan Merit Exam - Math: Congruence & Similarity
- Michigan Merit Exam - Math: Transformations & Isometries
- Michigan Merit Exam - Math: Dilations & Isometries
- Michigan Merit Exam - Math: Creating & Interpreting Plots
- Michigan Merit Exam - Math: Measures of Center & Variation
- Michigan Merit Exam - Math: The Normal Distribution
- Michigan Merit Exam - Math: Scatterplots & Correlation
- Michigan Merit Exam - Math: Linear Regression
- Michigan Merit Exam - Math: Data Collection & Analysis
- Michigan Merit Exam - Math: Probability
- Michigan Merit Exam - Math: Application & Representation
- Michigan Merit Exam - Math Flashcards