# Ch 27: Probability: NBPTS Math - Adolescence & Young Adult

### About This Chapter

## NBPTS Math - Adolescence & Young Adult: Probability - Chapter Summary

The lessons in this chapter delve into the various forms and applications of probability in mathematics, touching on all the subject-pertinent topics you may encounter on the exam, including:

- Theoretical and experimental probability
- The probability of independent and dependent events
- Calculating simple conditional probabilities
- Two-way tables
- Frequency and relative frequency tables
- Finding the probability of simple, compound, and complementary events
- Either/or probability
- Calculating the probability of permutations and combinations
- Probability and binomial distribution

The practice quizzes at the end of each lesson make it easy to confirm your comprehension of them before moving on. With the video lessons, if you get a question wrong, you have the option to jump right back to the relevant spot for review. If you'd like to use these quizzes for further offline study, they're also available to be printed as worksheets.

### 1. What is Theoretical Probability? - Definition, Formula & Examples

Have you ever heard someone ask, 'What are the odds?' Usually what it is meant is, 'How likely is it that an event will happen?' This lesson explores finding the likelihood, or theoretical probability, that an event could occur.

### 2. Experimental Probability: Definition & Predictions

In this lesson, you're going to learn about the concept of experimental probability and apply it to coins, dice, a deck of cards, and even real world scenarios.

### 3. Probability of Independent and Dependent Events

Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.

### 4. How to Calculate Simple Conditional Probabilities

Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current event.

### 5. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

### 6. Frequency & Relative Frequency Tables: Definition & Examples

Frequency and relative frequency tables are a good way to visualize information. This is especially useful for information that is grouped into categories where you are looking for popularity or mode.

### 7. Probability of Simple, Compound and Complementary Events

Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.

### 8. Either/Or Probability: Overlapping and Non-Overlapping Events

Statistics is the study and interpretation of a set of data. One area of statistics is the study of probability. This lesson will describe how to determine the either/or probability of overlapping and non-overlapping events.

### 9. How to Calculate the Probability of Permutations

In this lesson, you will learn how to calculate the probability of a permutation by analyzing a real-world example in which the order of the events does matter. We'll also review what a factorial is. We will then go over some examples for practice.

### 10. 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.

### 11. Probability Distribution: Definition, Formula & Example

Probability distribution is a way of mapping out the likelihood of all the possible results of a statistical event. In this lesson, we'll look at how that is done and how to make practical applications of this concept.

### 12. Binomial Distribution: Definition, Formula & Examples

You have a probability distribution to create, which one do you use? That depends. In this lesson, learn about binomial distributions, get examples and criteria for their use, and learn how to calculate the binomial distribution formula.

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### Other Chapters

Other chapters within the National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

- Teaching Math: NBPTS Math - Adolescence & Young Adult
- Understanding Math: NBPTS Math - Adolescence & Young Adult
- Numbers: NBPTS Math - Adolescence & Young Adult
- Operations: NBPTS Math - Adolescence & Young Adult
- Algebraic Reasoning: NBPTS Math - Adolescence & Young Adult
- Equations: NBPTS Math - Adolescence & Young Adult
- Systems of Equations: NBPTS Math - Adolescence & Young Adult
- Inequalities: NBPTS Math - Adolescence & Young Adult
- Functions: NBPTS Math - Adolescence & Young Adult
- Exponents & Exponential Functions: NBPTS Math - Adolescence & Young Adult
- Logarithmic Functions: NBPTS Math - Adolescence & Young Adult
- Rational Functions: NBPTS Math - Adolescence & Young Adult
- Quadratic Functions: NBPTS Math - Adolescence & Young Adult
- Trigonometric Functions: NBPTS Math - Adolescence & Young Adult
- Polynomials: NBPTS Math - Adolescence & Young Adult
- Series & Sequences: NBPTS Math - Adolescence & Young Adult
- Geometry Concepts: NBPTS Math - Adolescence & Young Adult
- Lines: NBPTS Math - Adolescence & Young Adult
- Angles: NBPTS Math - Adolescence & Young Adult
- Transformations: NBPTS Math - Adolescence & Young Adult
- Congruence & Similarity: NBPTS Math - Adolescence & Young Adult
- Circles: NBPTS Math - Adolescence & Young Adult
- Area & Volume: NBPTS Math - Adolescence & Young Adult
- Trigonometry: NBPTS Math - Adolescence & Young Adult
- Discrete Mathematics: NBPTS Math - Adolescence & Young Adult
- Data Analysis & Statistics: NBPTS Math - Adolescence & Young Adult
- Calculus: NBPTS Math - Adolescence & Young Adult
- Student Development: NBPTS Math - Adolescence & Young Adult
- Practice of Teaching: NBPTS Math - Adolescence & Young Adult
- Learning Environments: NBPTS Math - Adolescence & Young Adult
- Thinking Mathematically: NBPTS Math - Adolescence & Young Adult
- Assessment: NBPTS Math - Adolescence & Young Adult
- Reflection & Growth: NBPTS Math - Adolescence & Young Adult
- Families & Communities: NBPTS Math - Adolescence & Young Adult
- Professional Community: NBPTS Math - Adolescence & Young Adult
- National Board Certification Exam - Mathematics/Adolescence & Young Adulthood Flashcards