Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.03921 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Consider a fair lottery over the natural numbers in which the selected number is removed. This lottery is iterated countably infinite times, with a known ratio of iterations to natural numbers. Removed numbers are not replaced. The natural numbers are partitioned into two sets with a given ratio of elements, which is tracked along each iteration of the lottery. Hess and Polisetty considered and investigated such a process and reported the expected values of the densities for some particular cases. In this work, we provide a novel framework for computing these expected densities using infinite matrices. The results presented in this work generalize previous results.