I Can't make heads or tails out of what you are saying, so let's just agree to be fair

Assuming a coin is fair is common place in introductory statistical education. This article offers three approaches to test if a coin is fair. The approaches lend themselves to straightforward simulation studies that can enrich student understanding of joint probability and sample size requirements. Simulation studies comparing the relative merits of the three, or potential other, approaches are an example of problem-based learning.