# Ch 41: CEOE Middle Level/Intermediate Math: Probability

### About This Chapter

## CEOE Middle Level/Intermediate Math: Probability - Chapter Summary

Oklahoma teachers can use this series of lessons as a refresher before taking the CEOE Middle Level/Intermediate Mathematics test. This chapter will review the probability of independent and dependent events, how they can be seen as subsets of a sample space, and other similar topics. Reviewing these lessons will help you in answering test questions that are about the previously mentioned concepts and the following:

- Determination of probability of simple, compound and complementary events
- The calculation of simple conditional probabilities
- How conditional probabilities and independence relate
- The definition of the multiplication rule of probability
- The fundamental counting rule and how to use it
- Calculating conditional probability
- 'At Least One' Rule of the probability of independent events

These video lessons are delivered by our subject matter experts and each has a short quiz at the end. You can easily look back at any part of the lesson using our handy timeline tool. We highlight key terminology to help you focus your studies, and the lessons each have a feature that enables you to submit a question to an expert.

### 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

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.

### 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. 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. Conditional Probability: Definition & Uses

We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.

### 10. Probability of Independent Events: The 'At Least One' Rule

Occasionally when calculating independent events, it is only important that the event happens once. This is referred to as the 'At Least One' Rule. To calculate this type of problem, we will use the process of complementary events to find the probability of our event occurring at least once.

### 11. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

### 12. 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.

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### Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

- CEOE Middle Level/Intermediate Math: Problem Solving Strategies
- CEOE Middle Level/Intermediate Math: Reasoning & Logic
- CEOE Middle Level/Intermediate Math: Mathematical Modeling
- CEOE Middle Level/Intermediate Math: Real Numbers
- CEOE Middle Level/Intermediate Math: Fractions
- CEOE Middle Level/Intermediate Math: Decimals
- CEOE Middle Level/Intermediate Math: Percentages
- CEOE Middle Level/Intermediate Math: Ratios, Rates & Proportions
- CEOE Middle Level/Intermediate Math: Exponents & Exponential Expressions
- CEOE Middle Level/Intermediate Math: Properties of Real Numbers
- CEOE Middle Level/Intermediate Math: Sequences & Series
- CEOE Middle Level/Intermediate Math: Introduction to Algebra
- CEOE Middle Level/Intermediate Math: Introduction to Functions
- CEOE Middle Level/Intermediate Math: Linear Equations
- CEOE Middle Level/Intermediate Math: Linear Inequalities
- CEOE Middle Level/Intermediate Math: Systems of Equations
- CEOE Middle Level/Intermediate Math: Matrices in Linear Algebra
- CEOE Middle Level/Intermediate Math: Quadratic Functions
- CEOE Middle Level/Intermediate Math: Polynomial Functions
- CEOE Middle Level/Intermediate Math: Rational Expressions
- CEOE Middle Level/Intermediate Math: Radical Expressions
- CEOE Middle Level/Intermediate Math: Absolute Value Functions
- CEOE Middle Level/Intermediate Math: Exponential & Logarithmic Equations
- CEOE Middle Level/Intermediate Math: Measurement
- CEOE Middle Level/Intermediate Math: Area & Perimeter
- CEOE Middle Level/Intermediate Math: Surface Area & Volume
- CEOE Middle Level/Intermediate Math: Foundations of Geometry
- CEOE Middle Level/Intermediate Math: Lines & Angles
- CEOE Middle Level/Intermediate Math: Properties of Triangles
- CEOE Middle Level/Intermediate Math: Similar & Congruent Triangle Proofs
- CEOE Middle Level/Intermediate Math: Right Triangle Proofs
- CEOE Middle Level/Intermediate Math: Quadrilaterals & Polygons
- CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle
- CEOE Middle Level/Intermediate Math: Conic Sections
- CEOE Middle Level/Intermediate Math: Coordinate Geometry
- CEOE Middle Level/Intermediate Math: Transformations in Geometry
- CEOE Middle Level/Intermediate Math: Trigonometry
- CEOE Middle Level/Intermediate Math: Limits
- CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives
- CEOE Middle Level/Intermediate Math: Area Under the Curve & Integrals
- CEOE Middle Level/Intermediate Math: Discrete Probability Distributions
- CEOE Middle Level/Intermediate Math: Continuous Probability Distributions
- CEOE Middle Level/Intermediate Math: Overview of Statistics
- CEOE Middle Level/Intermediate Math: Sampling
- CEOE Middle Level/Intermediate Math: Graphs, Charts & Diagrams
- CEOE Middle Level/Intermediate Math: Summarizing Data
- CEOE Middle Level/Intermediate Math: Discrete Mathematics
- OSAT Middle Level/Intermediate Mathematics (CEOE) (125) Flashcards