Pinochle Poker: An Activity for Counting and Probability

Abstract

Understanding counting rules is challenging for students; in particular, they struggle with determining when and how to implement combinations, permutations, and the multiplication rule as tools for counting large sets and computing probability. We present an activity – using ideas from the games of poker and pinochle – designed to help students solidify and expand upon counting techniques while also promoting critical thinking in the classroom. While this activity has been used in college level courses, we believe it would also be applicable in a high school discrete mathematics class or in any probability course having substantial emphasis on these topics. We present and discuss the activity including desired learning outcomes, rationale, opportunities for teachable moments, and potential follow-up assignments.

• Combinations
• Multiplication Rule
• Poker
• Probability
• Permutations