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arXiv · 2303.04609

On Card guessing with two types of cards

Markus Kuba·Alois Panholzer
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Abstract

We consider a card guessing strategy for a stack of cards with two different types of cards, say $m_1$ cards of type red (heart or diamond) and $m_2$ cards of type black (clubs or spades). Given a deck of $M=m_1+m_2$ cards, we propose a refined counting of the number of correct color guesses, when the guesser is provided with complete information, in other words, when the numbers $m_1$ and $m_2$ and the color of each drawn card are known. We decompose the correct guessed cards into three different types by taking into account the probability of making a correct guess, and provide joint distributional results for the underlying random variables as well as joint limit laws.

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Markus Kuba, Alois Panholzer. 2023-03-08. On Card guessing with two types of cards. https://arxiv.org/abs/2303.04609

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