There are 9 marbles on a table. One randomly splits them into 9. two piles and picks the pile that has MORE marbles. Let Y be the number of marbles in this pile. Then he randomly splits the pile he just picked into two piles, and randomly pick one pile (with equal chance). Let X be the number of marbles in this pile. a) Find the joint PMF of X and Y.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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There are 9 marbles on a table. One randomly splits them into
9.
two piles and picks the pile that has MORE marbles. Let Y be the number of
marbles in this pile. Then he randomly splits the pile he just picked into two
piles, and randomly pick one pile (with equal chance). Let X be the number of
marbles in this pile.
a)
Find the joint PMF of X and Y.
Transcribed Image Text:There are 9 marbles on a table. One randomly splits them into 9. two piles and picks the pile that has MORE marbles. Let Y be the number of marbles in this pile. Then he randomly splits the pile he just picked into two piles, and randomly pick one pile (with equal chance). Let X be the number of marbles in this pile. a) Find the joint PMF of X and Y.
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