Ch 48: 6th-8th Grade Math: Probability
About This Chapter
6th-8th Grade Math: Probability - Chapter Summary
This chapter reinforces the probability terms and concepts that 6th, 7th and 8th graders learn about in math class. If your middle schooler needs to improve in this area, the entertaining and succinct video lessons could be just what he or she needs to make progress. The instructors discuss independent and dependent events, probability formulas, experimental probability and the fundamental counting principle. Example problems allow students to apply what they've learned about exclusive events, permutations, combinations and more. Your middle schooler has access to not only the videos but also lesson transcripts, self-assessment quizzes and a chapter exam. Students needing additional support can send questions to lesson instructors as well.
Chapter Lessons and Objectives
| Lesson | Objective |
|---|---|
| Introduction to Probability: Formula & Examples | Students learn key terms related to probability and the formula for determining an event's probability. |
| Probability of Independent and Dependent Events | This lesson distinguishes between independent and dependent events and explains how to find their probability. |
| Experimental Probability: Definition & Predictions | The instructor introduces methods of predicting an experiment's outcome. |
| Probability of Compound Events: Definition, Examples & Quiz | With this lesson, students learn what compound events are and how to find their probability of occurring. |
| Mutually Exclusive Events & Non-Mutually Exclusive Events | Students ascertain whether an event is mutually exclusive or non-mutually exclusive. |
| Set Theory, Venn Diagrams & Exclusive Events | The instructor explains how set theory and Venn diagrams can be connected to mutually and non-mutually exclusive events. |
| Fundamental Counting Principle: Definition, Examples & Quiz | Students learn what the fundamental counting principle is and how it relates to probability. |
| How to Calculate a Permutation | The lesson explains permutations, permutation notation and how to calculate permutations. |
| Math Combinations: Formula and Example Problems | The instructor defines combinations and uses examples to illustrate how to use the combination formula. |
1. Introduction to Probability: Formula & Examples
Probability refers to the likelihood of an event's occurrence in a specific context. Explore the concept of probability by analyzing the outcomes of experiments, and using the probability formula to calculate the likelihood of different events.
2. 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.
3. Experimental Probability: Definition & Predictions
Experimental probability refers to the likelihood of an event given a specific scenario, which can often be measured and calculated. Learn the experimental probability of coin flips, dice, card selection, and uncover other real-world examples.
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
When two events cannot both occur, they are mutually exclusive, but those that can are non-mutually exclusive. Use a variety of examples to understand this concept through types of events and their probabilities.
6. Set Theory, Venn Diagrams & Exclusive Events
Mathematical sets and events can be represented using Venn diagrams. Learn about mathematical sets, Venn diagrams, mutually and non-mutually exclusive events, and how they are all put together in representation.
7. Fundamental Counting Principle: Definition & Examples
The fundamental counting principle in math makes it easier to determine many choices and combinations within groups. Discover the definition of the fundamental counting principle, see a few examples of this method, and learn how this method works with exponents and factorials.
8. 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.
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.
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Other Chapters
Other chapters within the 6th-8th Grade Math: Practice & Review course
- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Divisibility
- 6th-8th Grade Math: Properties of Numbers
- 6th-8th Grade Math: Number Theory
- 6th-8th Grade Math: Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 6th-8th Grade Math: Simplifying Whole Number Expressions
- 6th-8th Grade Math: 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 Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Percents
- 6th-8th Grade Math: Exponents & Exponential Expressions
- 6th-8th Grade Math: Roots & Radical Expressions
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- 6th-8th Grade Algebra: Basic Algebraic Expressions
- 6th-8th Grade Algebra: 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 Math: The Coordinate Graph
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- 6th-8th Grade Math: Solving Math Word Problems
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Introduction to Geometric Figures
- 6th-8th Grade Geometry: Angles
- 6th-8th Grade Measurement: Units of Measurement
- 6th-8th Grade Geometry: Triangles
- 6th-8th Grade Geometry: Quadrilaterals
- 6th-8th Grade Geometry: Circles
- 6th-8th Grade Geometry: Circular Arcs & Measurement
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- 6th-8th Grade Geometry: Symmetry, Similarity & Congruence
- 6th-8th Grade Geometry: Transformations
- 6th-8th Grade Geometry: Triangle Theorems & Proofs
- 6th-8th Grade Geometry: Similar Polygons
- 6th-8th Grade Geometry: The Pythagorean Theorem
- 6th-8th Grade Math: Data & Graphs
- 6th-8th Grade Math: Statistics
- 6th-8th Grade Math: Rates, Ratios & Proportions
- 6th-8th Grade Math: Money
- 6th-8th Grade Math: Consumer Math
- 6th-8th Grade Math: Number Sequences
- 6th-8th Grade Math: Sets
- 6th-8th Grade Algebra: Monomials & Polynomials