What’s in the Bag?
Department or Administrative Unit
The Ross-Littlewood paradox describes a process of repeatedly adding and then removing chips from a bag. During the process, the size of the bag grows at each step; but at the end of the process, the bag is mysteriously found to be empty. This paper explores some new questions about which sets of chips could remain in the bag at the end of the process as well as some stochastic question not pursued in Ross' work. The results presented in this paper were all proven by undergraduate students at the author's institution as the students learned to work with quantifiers, uncountable sets, perfect subsets of the real line, probability, recurrence relations, and measure theory for the first time.
Montgomery, A. (2021). What’s in the Bag? The College Mathematics Journal, 52(3), 177–184. https://doi.org/10.1080/07468342.2021.1909952
The College Mathematics Journal
© The Mathematical Association of America