Abstract

Students often struggle with the concept of dependence of events or random variables. We present a simple coin flipping game that yields surprising results due to the dependencies within the game. The game is simple enough for young children to understand and play, yet complex enough to yield results that are counterintuitive to even most graduate students. We discuss how to implement the game in a classroom, suggest two problems from the game for students to solve, and present several solutions to the problems.

中文翻译：

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用三胞胎游戏讲解依赖的复杂性

摘要

学生们经常会遇到事件依赖或随机变量的概念。我们提供了一个简单的投币游戏，由于游戏中的依赖性，它会产生令人惊讶的结果。该游戏足够让年幼的孩子理解和玩耍，但又足够复杂，即使对于大多数研究生来说，其结果也是违反直觉的。我们讨论了如何在教室中实施游戏，提出了游戏中的两个问题供学生解决，并提出了解决这些问题的几种方法。