About This Chapter
Evaluating & Calculating Probability - Chapter Summary
This fun chapter covers how probability is calculated and evaluated. Our lessons allow you to review the formula for theoretical probability, the uses for conditional probability and how simple conditional probabilities are calculated. These mobile-friendly video and text lessons can be reviewed as many times as you need. Rather than watch a whole video lesson, you can use the video tabs to skip ahead. Once you complete this chapter, you should be able to:
- Define probability as it's used in math
- Explain how predictions are used in experimental probability
- Describe the probability of compound, complementary and simple events
- Give an example of a probability of a compound event
- Calculate the probability of permutations
- Differentiate between the probabilities of dependent and independent events
- Understand how to calculate the probability of combinations
- Use manipulatives to solve probability problems
1. What is Probability in Math? - Definition & Overview
Remember throwing a quarter and calling out heads or tails? Learn what this has to do with probability. Also learn how you can use your newly-learned skills from this lesson to help you decide whether you should play heads or tails at all!
2. What is Theoretical Probability? - Definition, Formula & Examples
Have you ever heard someone ask, 'What are the odds?' Usually what it is meant is, 'How likely is it that an event will happen?' This lesson explores finding the likelihood, or theoretical probability, that an event could occur.
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. Conditional Probability: Definition & Uses
We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. Using Manipulatives to Solve Probability Problems
In this lesson, you'll learn about and solve probability problems with the help of everyday objects such as a coin. Figure out your chances of rolling a 6 when playing with dice.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Measuring & Graphing Statistical Distributions