About This Chapter
PECT PAPA: Probability - Chapter Summary
This chapter on probability contains video lessons and a practice examination that can refresh and test your knowledge of the probabilities of simple, complementary and compound events. Watch the lessons to ensure that you understand permutations and the fundamental counting principle before you sit for the PECT PAPA examination. After your review, you could be better able to:
- Provide real-world examples of probabilities
- Explain the probabilities of dependent and independent events
- Define conditional probability and tree diagrams
- Explore the history of the Venn diagram and the use of the fundamental counting principle
- Understand math combinations
- Calculate the probability of permutations
There are several video lessons in this chapter that can contribute to your understanding of probabilities. They're presented by knowledgeable professionals who have the expertise required to answer your questions. The online lessons can be watched at your convenience via your tablet, laptop computer or other Web-connected technology. Pause the lessons as necessary, and use the video tags to move among the main topics. You might also check out the corresponding written transcripts.
PECT PAPA: Probability Chapter Objectives
Your comprehension of probabilities will be displayed when you're answering questions on the PECT PAPA examination's Mathematics module. In order to pass this test for initial teaching certification, you may been to be able to calculate probabilities and demonstrate the use of Venn and tree diagrams. You'll have up to 75 minutes to complete this portion of the computer-based examination, which consists of 36 selected-response questions. The assessment also includes Reading and Writing modules.
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. 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. 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.
4. Tree Diagrams in Math: Definition & Examples
Explore what a tree diagram is and how to use it to organize information and answer questions about various outcomes of a particular event in this lesson. See how to create a tree diagram through multiple examples and a detailed explanation.
5. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.
6. 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.
7. 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.
8. 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.
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Other chapters within the PECT PAPA: Practice & Study Guide course
- PECT PAPA: Meaning of Words & Phrases in Text
- PECT PAPA: Purpose, Main Idea & Organization of Texts
- PECT PAPA: Analyzing & Interpreting Texts
- PECT PAPA: Drawing Inferences from Texts
- PECT PAPA: Numbers & the Number System
- PECT PAPA: Whole Numbers
- PECT PAPA: Positive & Negative Numbers
- PECT PAPA: Integers
- PECT PAPA: Rational & Irrational Numbers
- PECT PAPA: Decimals
- PECT PAPA: Percents
- PECT PAPA: Fractions
- PECT PAPA: Exponents
- PECT PAPA: Linear & Nonlinear Functions
- PECT PAPA: Inequalities
- PECT PAPA: Basic Measurement
- PECT PAPA: Geometric Concepts
- PECT PAPA: Measuring Geometric Figures
- PECT PAPA: Data & Statistics
- PECT PAPA: Problem Solving & Reasoning in Math
- PECT PAPA: Writing Structure
- PECT PAPA: Syntax, Grammar & Sentence Structure
- PECT PAPA: Spelling, Capitalization & Punctuation
- PECT PAPA: Writing Strategy
- PECT PAPA: Revising Your Writing
- PECT PAPA Flashcards