In: Statistics and Probability
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.