# Ch 21: GRE Quantitative Reasoning - Probability and Statistics: Tutoring Solution

### About This Chapter

## How it works:

- Begin your GRE review.
- Identify the probability and statistics concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our GRE prep tutoring solution will benefit any student who is trying to prepare for the GRE and earn acceptable scores. This resource can help students including those who:

- Struggle with understanding frequency tables, simple conditional probabilities or any other probability and statistics topic
- Have limited time for studying
- Want a cost effective way to supplement their GRE preparation
- Prefer learning GRE topics visually
- Find themselves struggling with probability and statistics review
- Cope with ADD or ADHD
- Want to get ahead in preparing for the GRE
- Don't have access to GRE prep materials

## Why it works:

**Engaging Tutors:**We make preparing for the GRE simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live GRE prep tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Review probability and statistics on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Examine bar graphs and pie charts.
- Learn to calculate mean, median, mode and range.
- Get real-world examples of simple, compound and complementary events.
- Learn to calculate the probability of combinations and permutations.
- Examine real-world examples of independent and dependent events, and find out how to calculate these probabilities.
- Explore factorials and why they're important.
- Find out how to determine the either/or probability of overlapping and non-overlapping events.
- Learn to calculate the standard deviation of a data set.

### 1. Understanding Bar Graphs and Pie Charts

In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.

### 2. How to Calculate Mean, Median, Mode & Range

Measures of central tendency can provide valuable information about a set of data. In this lesson, explore how to calculate the mean, median, mode and range of any given data set.

### 3. 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.

### 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 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.

### 6. 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.

### 7. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

### 8. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 9. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. Calculating the Standard Deviation

In this lesson, we will examine the meaning and process of calculating the standard deviation of a data set. Standard deviation can help to determine if the data set is a normal distribution.

### 14. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables

In statistics, one way to describe and analyze data is by using frequency tables. This lesson will discuss relative and cumulative frequencies and how to calculate percent increase using these two methods.

### 15. 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.

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### Other Chapters

Other chapters within the GRE Prep: Tutoring Solution course

- GRE Verbal Reasoning - Reading Skills: Tutoring Solution
- GRE Verbal Reasoning - Vocabulary Skills: Tutoring Solution
- GRE Analytical Writing - Crafting Your Argument: Tutoring Solution
- GRE Analytical Writing - Planning Your Essay: Tutoring Solution
- GRE Analytical Writing - Starting Your Essay: Tutoring Solution
- GRE Analytical Writing - Writing the Essay Body: Tutoring Solution
- GRE Analytical Writing - Editing Your Essay: Tutoring Solution
- GRE Analytical Writing - Writing Technique: Tutoring Solution
- GRE Analytical Writing - Writing Stronger Sentences: Tutoring Solution
- GRE Analytical Writing - Grammar and Usage: Tutoring Solution
- GRE Quantitative Reasoning - Numbers and Operations: Tutoring Solution
- GRE Quantitative Reasoning - Sequences and Series: Tutoring Solution
- GRE Quantitative Reasoning - Equations and Expressions: Tutoring Solution
- GRE Quantitative Reasoning - Factoring with FOIL, Graphing Parabolas and Solving Quadratics: Tutoring Solution
- GRE Quantitative Reasoning - Exponents: Tutoring Solution
- GRE Quantitative Reasoning - Functions: Tutoring Solution
- GRE Quantitative Reasoning - Rational Equations and Expressions: Tutoring Solution
- GRE Quantitative Reasoning - Inequalities: Tutoring Solution
- GRE Quantitative Reasoning - Plane Geometry: Tutoring Solution
- GRE Quantitative Reasoning - Coordinate Geometry: Tutoring Solution
- GRE Quantitative Reasoning - Sets: Tutoring Solution
- GRE Prep Flashcards