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arXiv · 2407.08062

The Game of Band or Bump

Bruce Levin
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Abstract

In this report we generalize the game of Book or Band described in Levin (2024) to an arbitrary playing deck with $m$ ranks and $s$ cards in each rank, for a total of $t=ms$ cards. Two events (a band or a bump) are defined in terms of given non-negative integers $0\le l\le u \le s$, not necessarily with $l+u=s$. We derive expressions for the joint stopping time distribution and outcome band or bump in terms of rectangular event probabilities for central multiple hyper-geometric random variables.

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Bruce Levin. 2024-07-10. The Game of Band or Bump. https://arxiv.org/abs/2407.08062

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