By the end of this module, the student will

• properly use the terminology associated with probability
• calculate probabilities, both classical and empirical
• apply the Fundamental Counting Principle
• calculate the number of arrangements possible, given the description of the experiment (combinations, permutations, with/out replacement)
• apply your knowledge of sets to probability calculations
• calculate the expected value and variance of a random variable

These are the assigned reading for this module:

• Hawkes Learning Systems: Chapter 10

Hawkes Learning Systems is excellent for testing (and training) you on small, easily determined, problems. You will always know the section to focus on when you do Hawkes. This is its major strength (everyone can succeed here) and its main weakness (it does not test higher-order learning). To complement its weakness, I developed these chapter assignments.

• Chapter 10 Assignment

To obtain any points for the chapter, you need to pass the Certify part.

• Hawkes Learning Systems: Chapter 10

Here is a video exploring the Hawkes dashboard and their three-step process.

These are the slide decks that I will be going through during class. I expect you to download these before class and be familiar with them.

• §10.1: Introduction to Probability: Starting to understand probability
• §10.2: Counting Outcomes: Starting with equi-probable events
• §10.3: Probabilities of Single Events: Using these to find probability
• §10.4: Rules of Probability: Addition and multiplication
• §10.5: Binomial Probability: Flipping many coins
• §10.6: Expected Value: The long-run average

By the way: It is extremely important that you go through the slide decks before class. Knowing what will be discussed helps you better learn the material and how it fits into everything you already know. Make no mistake about it: This is a college-level course. This means you have college-level expectations on you.