Three cards are drawn without replacement from the 12 face cards (jack, queen and king) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y be the number of queen. Find the joint probability distribution of X and Y. Tabulate the Answer  Find the marginal distribution of X.  Tabulate the Answer   Find the marginal distribution of Y. Tabulate the Answer

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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Three cards are drawn without replacement from the 12 face cards (jack, queen and king) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y be the number of queen.

Find the joint probability distribution of X and Y. Tabulate the Answer 

Find the marginal distribution of X.  Tabulate the Answer 

 Find the marginal distribution of Y. Tabulate the Answer 

 Find P [( X,Y ) ϵ A], where A is the region given by {( x,y) / x + y ≥ 2 }. 

 Find P ( Y = 1 /  X = 2 ).

 Find the conditional distribution of X given that Y = 1. Tabulate the Answer 

 Find the conditional distribution of Y given that X = 2. Tabulate the Answer 

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