About This Chapter
How It Works:
- Identify the lessons in the Glencoe Math Connects Probability and Combinations chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the probability and combinations topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- The fundamental counting principle
- Computing permutations and the probability of permutations
- What combinations are and how you determine their probability
- An overview of the probability of simple, complementary and compound events
- The probability of dependent and independent events
- Relative frequency along with other classical approaches involving probability
- How to form discrete probability distributions
- Making predictions with geometric probability
- The meaning of probability simulations
- Research populations and samples
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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. 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.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. Relative Frequency & Classical Approaches to Probability
To understand probability, it is important to understand the foundations. In this lesson, you will learn about relative frequency and the foundations of understanding probability.
9. Developing Discrete Probability Distributions Theoretically & Finding Expected Values
In this lesson, we will look at generating a theoretical probability distribution for a discrete random variable and introduce the concept of expected value.
10. Samples & Populations in Research: Definition
When planning an experiment, you will likely use groups of participants. This lesson explores the types of groups an experimenter can collect data from and the reason why there are different groups.
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Other chapters within the Glencoe Math Connects: Online Textbook Help course
- Glencoe Math Connects Chapter 1: Rational Numbers and Percent
- Glencoe Math Connects Chapter 2: Real Numbers and Monomials
- Glencoe Math Connects Chapter 3: Equations and Inequalities
- Glencoe Math Connects Chapter 4: Multi-Step Equations and Inequalities
- Glencoe Math Connects Chapter 5: Expressions and Functions
- Glencoe Math Connects Chapter 6: Linear Functions and Systems of Equations
- Glencoe Math Connects Chapter 7: Two- and Three-Dimensional Geometry
- Glencoe Math Connects Chapter 8: Triangles and Transformations
- Glencoe Math Connects Chapter 9: Units of Measure
- Glencoe Math Connects Chapter 10: Data Analysis and Statistics
- Glencoe Math Connects Chapter 12: Area and Volume