Week 5 · Readings & resources

Week 5 — Readings & Resources

Introduction to Statistics Free sample edition

Your primary reading is Chapter 5 (in this module). Everything below is the optional, go-deeper layer — pick what helps, skip the rest.

How to use this page

This page has 11 items (5 readings and 6 videos). Allow 85–102 minutes for everything. Each group points back to the matching chapter section and class-session segment, so use the full menu when you want more practice, or take the quick path below.

Every video here has captions: turn them on with the CC button in the player. The chapter covers the same ideas in text.

Pick-one quick path (17–20 min total)

① Why can't you predict one roll? Chance and the long run

Chapter 5, Section “Randomness: the long run settles, the short run swings” · Session 1, Segment 1, “Chance and the long run” · Remember: a probability is a long-run share, and a streak never makes an outcome due.

The Law of Large Numbers (is Not the Gambler's Fallacy) — DataMListic — a short animated explainer that separates the law of large numbers from the belief that a streak makes an outcome due. (video, 4 min) (captions: automatic)
Basic Probability — Seeing Theory — an interactive page where you flip a virtual coin many times and watch the share of heads settle; work through the Chance Events part and skip Expectation and Variance for now. (reading, 6–10 min)

② How do you count chances? Sample spaces and the three rules

Chapter 5, Section “The addition rule: add the chances, then subtract the overlap” · Session 1, Segment 2, “Sample spaces and the three rules” · Remember: for not, subtract from 1; for or, add and take the overlap out once; for and, multiply only independent chances.

Probability Part 1: Rules and Patterns: Crash Course Statistics #13 — CrashCourse — a brisk tour of the addition and multiplication rules and of conditional probability, with everyday examples. (video, 12 min) (captions: creator)
Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events — The Organic Chemistry Tutor — worked problems that apply the addition rule and the multiplication rule one step at a time; pause before each answer and try it first. (video, 10 min) (captions: automatic)
Probability Rules — Stat Trek — compact statements of the rules of subtraction, multiplication, and addition, which this course calls the complement, multiplication, and addition rules, each with a short worked example; use it while completing the Week-5 module overview. (reading, 8–12 min)

③ What does new information change? Conditional probability from a table

Chapter 5, Section “Conditional probability: shrink the world to what you know” · Session 2, Segment 3, “Conditional probability from a two-way table” · Remember: a conditional probability divides by the group you were given, not by everyone.

An Introduction to Conditional Probability — jbstatistics — a careful, notation-exact introduction to conditional probability and to why the order of the condition matters. (video, 12 min) (captions: creator)
Basic probability: Joint, marginal and conditional probability | Independence — zedstatistics — joint, marginal, and conditional probabilities read off a table of counts, ending with a check for independence. This builds on Week 4's work with two-way tables and the relationship between two variables. (video, 14 min) (captions: automatic)
Conditional Probability Explained Visually — Setosa — the gentlest page on this list: balls drop onto two shelves, and you switch between the two conditional views to see that the chance of one event given the other depends on which event you were given. (reading, 4–7 min)

④ Can't happen together, or don't affect each other? Mutually exclusive versus independent

Chapter 5, Section “Independence: check it, and do not confuse it with mutually exclusive” · Session 2, Segment 4, “Independence versus mutually exclusive” · Remember: two events that cannot happen together are mutually exclusive, and that makes them dependent, not independent.

Are mutually exclusive events independent? — jbstatistics — five minutes on why two events that cannot happen together are not independent. (video, 5 min) (captions: creator)
Mutually Exclusive Events — Math is Fun — card-deck examples of events that can and cannot happen together, and of how the addition rule changes when they overlap. (reading, 5–8 min)

Optional one-stop reference (free online reference)

Compound Probability — Seeing Theory — a free interactive visual reference; read the Set Theory and Conditional Probability parts, and skip the Counting part, which this course does not use. (reading, 5–8 min)

Heads-up (links rot): these point to outside sites that occasionally move or rename pages. If a link ever fails, tell your instructor and use the reference above in the meantime.

Provenance: Built with The Course Maker · samples.thecoursemaker.com