2023/03/08 by Markus Kuba, Kuba, Markus, Alois Panholzer +1
Computer Science · #Bayesian Methods and Mixture Models #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2303.04609
openalex publication_date 2023/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 color guesses, when the guesser is provided with complete information, in other words, when the numbers m1 and m2 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.