I am helping to design a low-level college course whose purpose is to teach critical thinking, logic, finance and probability. I have been tasked with developing the probability section. I am following chapter 4 from Bolstad's Intro to Bayesian Statistics. This goes from the definition of probability through Bayes' rule.
I was hoping to add one or two practical applications of these ideas. Types of errors is one idea. Another would be basic AI. I want things that are relevant to today yet easy enough for a student with only an algebra background to understand. Any ideas?