Pick a question involving probability that has piqued your interests and research it's answer. In all likelihood this will involve simulation. I encourage you to pick a topic close to your heart, and to talk with me if you are unclear whether your ideas are feasible. Some examples are:
Question: What is a good model for card shuffling? Using such a model can I explore the effect of shuffling on the playing of various games?
Question: Can I make a model for traffic at the corner of Wheelock and Main street? Using this model can I explore possible ways to optimize traffic flow through Hanover?
Question: The first digit of randomly constructed numbers in nature often satisfy the Benford distribution. How can can I explore this claim?
I would appreciate these being turned on or before the last day of classes (Wednesday June 2).