Question

In: Statistics and Probability

You have 11 marbles in a bag. 4 of them are black and 7 of them...

You have 11 marbles in a bag. 4 of them are black and 7 of them are white.

Randomly give 5 marbles to Daniel and the remaining 6 marbles to Jeff.

Let X be the number of black marbles Daniel gets, and Y the number of black marbles Jeff gets.

What is the joint probability mass function of (X,Y)? Please provide a function and/or table.

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