About This Chapter
Basic Probability - Chapter Summary
The lessons in this chapter provide an overview of basic probability. You can review the fundamental counting principle, set theory and the multiplication rule of probability. You can also gain an understanding of events that are mutually exclusive and those that are non-mutually exclusive. After completing the chapter, you should be prepared to:
- Use a formula to determine probability
- Explain how to find the probability of independent events
- Define experimental probability
- Discuss the probability of compound events
- Explain how a Venn diagram works
- Recall an example of the multiplication rule
- Describe how to calculate a permutation
- Provide an example of a math combination
These lessons help you quickly grasp the topics presented on basic probability, and our instructors facilitate an engaging learning experience. You can review all the lessons in order, or just focus on the lessons that cover the topics you need to review. A short quiz is available for each lesson to test your knowledge.
1. Introduction to Probability: Formula & Examples
Ever taken a chance on something? Before you took that chance, did you want to know what your chances were on actually winning? Then you were dealing with probability, the likelihood that a specific event will occur.
2. 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.
3. 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.
4. Probability of Compound Events: Definition & Examples
Determining the probability of compound events involves finding the probability of each event and then determining how to combine them. This lesson will give you the tools to find the probability and finish with a quiz to cement your knowledge.
5. Mutually Exclusive Events & Non-Mutually Exclusive Events
In this lesson, we look at the ideas of mutually exclusive and non-mutually exclusive events. As we will learn, just because two events are non-mutually exclusive events are possible, that doesn't make them likely.
6. Set Theory, Venn Diagrams & Exclusive Events
In this lesson, we're going to go over the concepts of sets and Venn diagrams, as well mutually exclusive and non-mutually exclusive events in terms of how they all tie in together.
7. Fundamental Counting Principle: Definition & Examples
In this lesson, you will learn about the fundamental counting principle, a method for determining how many ways choices can be made from groups. Several examples will be given.
8. 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.
9. 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.
10. 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.
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Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course
- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Properties of Numbers
- Number Theory & Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 5th Grade Math: Simplifying Whole Number Expressions
- Negative Numbers
- 6th-8th Grade Math: Absolute Value
- 6th-8th Grade Math: Integers
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Introduction to Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Percents
- Working with Rates, Ratios & Proportions
- Practical Applications of Rates, Ratios & Proportions
- Introduction to Exponents
- Working with Exponential Expressions
- Understanding Square Roots & Radical Expressions
- Radical Expressions & Equations
- Imaginary & Complex Numbers
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- Basic Algebraic Expressions & Factoring
- Algebraic Distribution
- 6th-8th Grade Algebra: Writing & Solving One-Step Equations
- 6th-8th Grade Algebra: Writing & Solving Two-Step Equations
- 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Algebra: Monomials & Polynomials
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- Rate of Change Basics
- Notation, Sequences & Series
- 6th-8th Grade Measurement: Units of Measurement
- Fundamentals of Geometric Figures & Angles
- Two-Dimensional Shapes
- Circle Geometry
- The Pythagorean Theorem & Trigonometry
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- Congruence & Similarity in Geometry
- 6th-8th Grade Math: The Coordinate Graph
- 6th-8th Grade Geometry: Transformations
- Modeling to Solve Problems
- Statistics & Sampling Basics
- MTLE Middle Level Mathematics Flashcards