# Probability and Statistics I: A Gentle Introduction to Probability

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“FCPS” refers to the free text, A First Course in Probability and Statistics: free access is provided via a PDF file or as a book

Module 1: Course Introduction + Bootcamps
• Lesson 1: Introduction to Probability and Statistics (FCPS §1.1)
• Lesson 2 [OPTIONAL]: The Joy of Sets Bootcamp (FCPS §1.2.1)
• Lesson 3 [OPTIONAL]: Calculus Bootcamp: Introduction + Derivatives (FCPS §1.2.2)
• Lesson 4 [OPTIONAL]: Calculus Bootcamp: Integration and Beyond (FCPS §1.2.2)
Module 2: Getting Started with Probability
• Lesson 1: Experiments, Sample Spaces, and Events (FCPS §§1.3.1−1.3.2)
• Lesson 2: What is Probability? (FCPS §1.3.3)
• Lesson 3: Basic Probability Results (FCPS §1.3.3)
• Lesson 4: Finite Sample Spaces (FCPS §1.4)
• Lesson 5: Counting Techniques: Baby Examples (FCPS §1.5.1)
• Lesson 6: Counting Techniques: Permutations (FCPS §1.5.2)
• Lesson 7: Counting Techniques: Combinations (FCPS §1.5.3)
Module 2 (cont’d): Getting Started with Probability
• Lesson 8: Hypergeometric, Binomial, and Multinomial Problems (FCPS §§1.6.1−1.6.3)
• Lesson 9: Permutations vs. Combinations (FCPS §1.6.4)
• Lesson 10: The Birthday Problem (FCPS §1.6.5)
• Lesson 11: The Envelope Problem (FCPS §1.6.6)
• Lesson 12: Poker Problems (FCPS §1.6.7)
• Lesson 13: Conditional Probability (FCPS §1.7.1)
• Lesson 14: Independence Day (FCPS §1.7.2)
• Lesson 15: Partitions and the Law of Total Probability (FCPS §1.8)
• Lesson 16: Bayes Theorem (FCPS §1.8)