Year: 2024
Type: article
Abstract: SummaryIn a well-shuffled deck of cards, what is the probability that somewhere in the deck there are adjacent cards of the same rank? What is the average number of adjacent matches? What is the probability distribution for the number of matches? We answer these and related questions for both the standard 52-card deck with four suits and 13 ranks and for generalized decks with k suits and n ranks. We also determine the limiting distribution as n goes to infinity with k fixed.
Source: Mathematics Magazine
Author: Kent E. Morrison
Institution: American Institute of Mathematics
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403214709