Moments of the one-shuffle no-feedback card guessing game
Issued Date
2023-01-01
Resource Type
eISSN
26642557
Scopus ID
2-s2.0-85187796216
Journal Title
Discrete Mathematics Letters
Volume
12
Start Page
110
End Page
117
Rights Holder(s)
SCOPUS
Bibliographic Citation
Discrete Mathematics Letters Vol.12 (2023) , 110-117
Suggested Citation
Krityakierne T., Siriputcharoen P., Thanatipanonda T.A., Yapolha C. Moments of the one-shuffle no-feedback card guessing game. Discrete Mathematics Letters Vol.12 (2023) , 110-117. 117. doi:10.47443/dml.2023.119 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/97752
Title
Moments of the one-shuffle no-feedback card guessing game
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Corresponding Author(s)
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Abstract
We consider card guessing with no feedback, a variant of the game previously studied by Ciucu in 1998. In this study, we derive an exact, closed-form formula for the asymptotic (in the number of cards, n) expected number of correct guesses, as well as higher moments, for a one-time riffle shuffle game under the optimal strategy. The problem is tackled using two different approaches: one approach utilizes a fast generating function based on a recurrence relation to obtain numerical moments, while the other is the symbolic approach employing the method of indicators for finding expected counts. The results obtained contribute to the existing literature on card guessing with no feedback.