About This Chapter
NES Math: Probability - Chapter Summary
Use our video lessons to refresh your understanding of types of probabilities and the steps necessary to calculate them. This chapter in our study guide will help you get ready for NES Math test questions on topics such as:
- The probability of simple, compound, complementary, independent and dependent events
- How to calculate simple conditional probabilities
- The addition and multiplication rules of probability
- Sample spaces and events
- The pros and cons of alternating current
- Applications of the fundamental counting principle
- Math combinations
- How to calculate permutations and the probability of permutations
These video lessons average about five minutes in length. Utilize a computer, phone or tablet as you study these online lessons. Our instructors are experts who use examples, animations and humor to convey information and make your review enjoyable. You can even contact them through the message board on your personalized Dashboard if you have questions.
NES Math: Probability Chapter Objectives
In several states, passing the NES Math test is one of the requirements for certification to teach secondary-level mathematics. The test is computer-based and consists of multiple-choice questions, like the lesson quizzes and the chapter exam in this study guide. Because they are in the same format, our quizzes offer excellent practice for the NES test. They also let you assess your learning and immediately review information in areas where you're not quite up to speed.
The 150 questions on the NES Math test are divided into five subject areas. Questions on the material this chapter covers are in the Statistics, Probability and Discrete Mathematics content domain, which accounts for 19% of the score.
1. Events as Subsets of a Sample Space: Definition & Example
Probability can get very confusing at times. You will find that some words, such as events and subsets, are often referring to the same concept depending on the experiment. Use this lesson to understand the concept of events as subsets.
2. Probability of Simple, Compound and Complementary Events
Probability can be calculated for simple, compound, and complementary events. Explore each type of event, understand how each event differs from the other types, and learn how to calculate each type of event's probability by reviewing examples.
3. Probability of Independent and Dependent Events
Probability is a ratio that predicts the likelihood an event will occur. Explore the concept of probability and understand the difference between independent and dependent events. Learn how to calculate the probability of both independent and dependent events, and review examples.
4. How to Calculate Simple Conditional Probabilities
Conditional probability refers to the probability that an event will occur provided a previous event occurs. Learn about simple conditional probabilities and how to calculate them. Explore dependent events, understand how they differ from conditional probabilities, and review conditional probability examples.
5. The Relationship Between Conditional Probabilities & Independence
Conditional and independent probabilities are a basic part of learning statistics. It's important that you can understand the similarities and differences between the two as discussed in this lesson.
6. The Addition Rule of Probability: Definition & Examples
In this lesson, you will learn the differences between mutually exclusive and non-mutually exclusive events and how to find the probabilities of each using the Addition Rule of Probability.
7. The Multiplication Rule of Probability: Definition & Examples
The Multiplication Rule of Probability is a concept you will use frequently when solving probability equations. In this lesson, learn the two different scenarios in which you will use the multiplication rule of probability.
8. 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.
9. Math Combinations: Formula and Example Problems
Factorials are used to compute for a combination. Learn more about these concepts, solve the example problems in this video using the combination discussed herein, and learn an easy technique for combination problems.
10. How to Calculate a Permutation
A permutation is a process for placing things into a linear order. Learn how to calculate a permutation. Explore factorials and permutation notations, and review examples of permutation calculations.
11. How to Calculate the Probability of Permutations
A permutation calculates the number of outcomes where order of events matters, but not all outcomes are equally probable or favorable. Learn how to calculate the probability of permutations using functions and factorials.
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Other chapters within the NES Mathematics (304): Practice & Study Guide course
- NES Math: Properties of Real Numbers
- NES Math: Fractions
- NES Math: Decimals & Percents
- NES Math: Ratios & Proportions
- NES Math: Units of Measure & Conversions
- NES Math: Logic
- NES Math: Reasoning
- NES Math: Vector Operations
- NES Math: Matrix Operations & Determinants
- NES Math: Exponents & Exponential Expressions
- NES Math: Algebraic Expressions
- NES Math: Linear Equations
- NES Math: Inequalities
- NES Math: Absolute Value
- NES Math: Quadratic Equations
- NES Math: Polynomials
- NES Math: Rational Expressions
- NES Math: Radical Expressions
- NES Math: Systems of Equations
- NES Math: Complex Numbers
- NES Math: Functions
- NES Math: Piecewise Functions
- NES Math: Exponential & Logarithmic Functions
- NES Math: Continuity of Functions
- NES Math: Limits
- NES Math: Rate of Change
- NES Math: Derivative Rules
- NES Math: Graphing Derivatives
- NES Math: Applications of Derivatives
- NES Math: Area Under the Curve & Integrals
- NES Math: Integration Techniques
- NES Math: Applications of Integration
- NES Math: Foundations of Geometry
- NES Math: Geometric Figures
- NES Math: Properties of Triangles
- NES Math: Triangle Theorems & Proofs
- NES Math: Parallel Lines & Polygons
- NES Math: Quadrilaterals
- NES Math: Circles & Arc of a Circle
- NES Math: Conic Sections
- NES Math: Geometric Solids
- NES Math: Analytical Geometry
- NES Math: Trigonometric Functions
- NES Math: Trigonometric Graphs
- NES Math: Solving Trigonometric Equations
- NES Math: Trigonometric Identities
- NES Math: Sequences & Series
- NES Math: Graph Theory
- NES Math: Set Theory
- NES Math: Statistics Overview
- NES Math: Summarizing Data
- NES Math: Tables, Plots & Graphs
- NES Math: Discrete Probability Distributions
- NES Math: Continuous Probability Distributions
- NES Math: Sampling
- NES Math: Regression & Correlation
- NES Mathematics Flashcards