Probability and Risk Analysis

          Module 1: Introduction to Probability

Section 1: Understanding Chance  
- Lesson 1: Defining Probability  
  - Module 1, Section 1, Lesson 1: Defining Probability  
- Lesson 2: Examples of Chance in Daily Life  
  - Module 1, Section 1, Lesson 2: Examples of Chance in Daily Life

Section 2: Basic Probability Terms  
- Lesson 1: Outcome, Event, and Sample Space  
  - Module 1, Section 2, Lesson 1: Outcome, Event, and Sample Space  
- Lesson 2: Frequencies and Relative Frequency  
  - Module 1, Section 2, Lesson 2: Frequencies and Relative Frequency

Section 3: Simple Experiments  
- Lesson 1: Coin Tosses and Dice Rolls  
  - Module 1, Section 3, Lesson 1: Coin Tosses and Dice Rolls  
- Lesson 2: Simulating Random Experiments  
  - Module 1, Section 3, Lesson 2: Simulating Random Experiments

Section 4: Probability in Everyday Decisions  
- Lesson 1: Everyday Scenarios and Their Probabilities  
  - Module 1, Section 4, Lesson 1: Everyday Scenarios and Their Probabilities  
- Lesson 2: Evaluating Simple Risks  
  - Module 1, Section 4, Lesson 2: Evaluating Simple Risks

Section 5: Introduction to Interactive Simulations  
- Lesson 1: Using Simulation Software Basics  
  - Module 1, Section 5, Lesson 1: Using Simulation Software Basics  
- Lesson 2: Interpreting Data from Simulations  
  - Module 1, Section 5, Lesson 2: Interpreting Data from Simulations

Module 2: Fundamental Concepts in Risk Analysis

Section 1: Understanding Risk  
- Lesson 1: What is Risk?  
  - Module 2, Section 1, Lesson 1: What is Risk?  
- Lesson 2: Types of Risk in Daily Life  
  - Module 2, Section 1, Lesson 2: Types of Risk in Daily Life

Section 2: Linking Probability and Risk  
- Lesson 1: How Probability Influences Risk  
  - Module 2, Section 2, Lesson 1: How Probability Influences Risk  
- Lesson 2: Basic Risk Assessments  
  - Module 2, Section 2, Lesson 2: Basic Risk Assessments

Section 3: Quantifying Uncertainty  
- Lesson 1: Measuring Uncertainty with Numbers  
  - Module 2, Section 3, Lesson 1: Measuring Uncertainty with Numbers  
- Lesson 2: Using Probability for Risk Analysis  
  - Module 2, Section 3, Lesson 2: Using Probability for Risk Analysis

Section 4: Communicating Risk  
- Lesson 1: Explaining Risks Effectively  
  - Module 2, Section 4, Lesson 1: Explaining Risks Effectively  
- Lesson 2: Visual Tools for Risk Communication  
  - Module 2, Section 4, Lesson 2: Visual Tools for Risk Communication

Section 5: Interactive Risk Scenarios  
- Lesson 1: Simulated Risk Situations  
  - Module 2, Section 5, Lesson 1: Simulated Risk Situations  
- Lesson 2: Analyzing Outcomes in Risk Scenarios  
  - Module 2, Section 5, Lesson 2: Analyzing Outcomes in Risk Scenarios

Module 3: Probability Models and Tools

Section 1: Introduction to Probability Models  
- Lesson 1: Overview of Simple Models  
  - Module 3, Section 1, Lesson 1: Overview of Simple Models  
- Lesson 2: How Models Represent Chance  
  - Module 3, Section 1, Lesson 2: How Models Represent Chance

Section 2: Events and Their Probabilities  
- Lesson 1: Addition and Multiplication Rules  
  - Module 3, Section 2, Lesson 1: Addition and Multiplication Rules  
- Lesson 2: Complementary Events and Their Significance  
  - Module 3, Section 2, Lesson 2: Complementary Events and Their Significance

Section 3: Fundamental Probability Rules  
- Lesson 1: Basic Rules of Probability  
  - Module 3, Section 3, Lesson 1: Basic Rules of Probability  
- Lesson 2: Introduction to Conditional Probability  
  - Module 3, Section 3, Lesson 2: Introduction to Conditional Probability

Section 4: Visualizing Probability  
- Lesson 1: Graphs, Charts, and Diagrams  
  - Module 3, Section 4, Lesson 1: Graphs, Charts, and Diagrams  
- Lesson 2: Interactive Visual Tools  
  - Module 3, Section 4, Lesson 2: Interactive Visual Tools

Section 5: Hands-On Model Building  
- Lesson 1: Constructing a Simple Probability Model  
  - Module 3, Section 5, Lesson 1: Constructing a Simple Probability Model  
- Lesson 2: Evaluating and Comparing Models  
  - Module 3, Section 5, Lesson 2: Evaluating and Comparing Models

Module 4: Risk Analysis Techniques

Section 1: Introduction to Risk Assessment  
- Lesson 1: What is Risk Assessment?  
  - Module 4, Section 1, Lesson 1: What is Risk Assessment?  
- Lesson 2: Identifying Risk Factors  
  - Module 4, Section 1, Lesson 2: Identifying Risk Factors

Section 2: Numerical Risk Evaluation  
- Lesson 1: Calculating Basic Risk Probabilities  
  - Module 4, Section 2, Lesson 1: Calculating Basic Risk Probabilities  
- Lesson 2: Introduction to Risk Metrics  
  - Module 4, Section 2, Lesson 2: Introduction to Risk Metrics

Section 3: Simulation in Risk Analysis  
- Lesson 1: Setting Up Risk Simulations  
  - Module 4, Section 3, Lesson 1: Setting Up Risk Simulations  
- Lesson 2: Interpreting Simulation Results  
  - Module 4, Section 3, Lesson 2: Interpreting Simulation Results

Section 4: Case Studies in Risk  
- Lesson 1: Learning from Real-World Scenarios  
  - Module 4, Section 4, Lesson 1: Learning from Real-World Scenarios  
- Lesson 2: Analyzing Past Cases  
  - Module 4, Section 4, Lesson 2: Analyzing Past Cases

Section 5: Interactive Risk Analysis Projects  
- Lesson 1: Developing a Simple Risk Analysis Project  
  - Module 4, Section 5, Lesson 1: Developing a Simple Risk Analysis Project  
- Lesson 2: Presenting and Evaluating Project Outcomes  
  - Module 4, Section 5, Lesson 2: Presenting and Evaluating Project Outcomes

Module 5: Practical Applications and Projects

Section 1: Applying Probability to Everyday Life  
- Lesson 1: Making Decisions with Probability  
  - Module 5, Section 1, Lesson 1: Making Decisions with Probability  
- Lesson 2: Assessing Everyday Risks  
  - Module 5, Section 1, Lesson 2: Assessing Everyday Risks

Section 2: Interactive Projects Part 1  
- Lesson 1: Building a Simple Simulation Model  
  - Module 5, Section 2, Lesson 1: Building a Simple Simulation Model  
- Lesson 2: Analyzing Simulation Data  
  - Module 5, Section 2, Lesson 2: Analyzing Simulation Data

Section 3: Interactive Projects Part 2  
- Lesson 1: Creating Risk Assessment Tools  
  - Module 5, Section 3, Lesson 1: Creating Risk Assessment Tools  
- Lesson 2: Using Spreadsheets for Data Analysis  
  - Module 5, Section 3, Lesson 2: Using Spreadsheets for Data Analysis

Section 4: Project-Based Learning  
- Lesson 1: Group Project: Predicting Outcomes  
  - Module 5, Section 4, Lesson 1: Group Project: Predicting Outcomes  
- Lesson 2: Group Discussion and Analysis  
  - Module 5, Section 4, Lesson 2: Group Discussion and Analysis

Section 5: Review and Reflection  
- Lesson 1: Reviewing Key Concepts in Probability and Risk  
  - Module 5, Section 5, Lesson 1: Reviewing Key Concepts in Probability and Risk  
- Lesson 2: Final Reflection and Q&A  
  - Module 5, Section 5, Lesson 2: Final Reflection and Q&A