A standard 52-card deck is randomly dealt to four players. Each player receives 13 cards. Show that the probability that each player has exactly 1 king receives is equal to: (24*48!*(134))/(52!)

A standard 52-card deck is randomly dealt to four players. Each player receives 13 cards. Show that the probability that each player has exactly 1 king receives is equal to: (2448!(134))/(52!)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A standard 52-card deck is randomly dealt to four players.
Each player receives 13 cards. Show that the probability that each player has exactly 1 king
receives is equal to:

(24*48!*(13⁴))/(52!)

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