Kuba, M., & Panholzer, A. (2024). On card guessing with two types of cards. Journal of Statistical Planning and Inference, 232, Article 106160. https://doi.org/10.1016/j.jspi.2024.106160
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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Journal:
Journal of Statistical Planning and Inference
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ISSN:
0378-3758
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Date (published):
Sep-2024
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Number of Pages:
18
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Publisher:
ELSEVIER
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Peer reviewed:
Yes
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Keywords:
Card guessing; Diminishing urn; Exact distribution; Limit law
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Abstract:
We consider a card guessing strategy for a stack of cards with two different types of cards, say m₁ cards of type red (heart or diamond) and m₂ cards of type black (clubs or spades). Given a deck of M = m₁ + m₂ cards, we propose a refined counting of the number of correct colour guesses, when the guesser is provided with complete information, in other words, when the numbers m₁ and m₂ and the colour 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.
