About This Chapter
ISTEP+ Grade 8 Math: Linear Equations - Chapter Summary
In this series of short, engaging and mobile-device-compatible lesson videos, our expert instructors will explain how to calculate probability, the different types of probability and how to use the fundamental (multiplication) counting principle. Follow along with these lessons to prepare for exam questions on the following:
- Expressing the probability of simple, compound and complementary events
- Calculating simple conditional probabilities
- Finding the probability of non-overlapping events and overlapping events
- Using the 'At Least One' rule
- Mutually exclusive events in statistics
- Finding the probability of independent and dependent events
- Using the fundamental counting principle
Read over the lesson transcripts to help ensure your retention of the material presented in these lessons. Then discover any topics you don't understand by taking the lesson quizzes. The results from these short assessments will provide you with links to the parts of the lessons that explain the topics you don't understand. Use these video tags to return to and study the parts of lessons you need to review to improve your understanding of the material.
ISTEP+ Grade 8 Math: Linear Equations Objectives
Schools use the Indiana Statewide Testing for Educational Progress Plus (ISTEP+) Grade 8 -Mathematics exam to ensure their students are learning what they need to about mathematics in the eighth grade. This exam is composed of two parts: the applied-skills assessment, administered in March; and the multiple-choice assessment, administered in April or May. Of the questions on these assessments, 12-22% will ask you about data analysis, statistics and probability.
1. 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.
2. 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.
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. 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.
5. 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.
6. Mutually Exclusive in Statistics: Definition, Formula & Examples
In this lesson, we will discuss mutually exclusive events in statistics. We will talk about the definition, give many real-life examples, and compare mutually exclusive events to independent events.
7. Independent Events: Definition, Formula & Examples
This lesson will define independent events, give several scenarios in which they occur, provide the formula for finding the probability of these types of events, and explain how to use the formula.
8. Dependent Events in Math: Definition & Examples
In this lesson, we will review the definition of a dependent even in math and the concept and formula for conditional probability. We will also look at some examples to clarify your understanding of this concept.
9. 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.
10. 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.
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Other chapters within the ISTEP+ Grade 8 - Math: Test Prep & Practice course
- ISTEP+ Grade 8 Math: Rational & Irrational Numbers
- ISTEP+ Grade 8 Math: Operations with Rational Numbers
- ISTEP+ Grade 8 Math: Exponents
- ISTEP+ Grade 8 Math: Square Roots
- ISTEP+ Grade 8 Math: Scientific Notation
- ISTEP+ Grade 8 Math: Linear Equations
- ISTEP+ Grade 8 Math: Inequalities
- ISTEP+ Grade 8 Math: Properties of Functions
- ISTEP+ Grade 8 Math: Rational Expressions & Functions
- ISTEP+ Grade 8 Math: Geometric Figures
- ISTEP+ Grade 8 Math: Geometric Transformations
- ISTEP+ Grade 8 Math: Pythagorean Theorem
- ISTEP+ Grade 8 Math: Analyzing Data
- ISTEP+ Grade 8 Math: Mathematical Process
- ISTEP+ Grade 8 - Math Flashcards