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Bibliographic Details
Main Authors: Phan, Vu, Ugarcovici, Ilie
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.20932
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Table of Contents:
  • We investigate the expected number of calls required to achieve Bingo in a generalized (n,m)-Bingo game, where each n x n card is filled by sampling n numbers from m possible values per column. Using the inclusion-exclusion principle, we derive exact formulas for the probability distribution and the expected game length. Our main theoretical result proves that the expected number of calls is a linear function of m.