Find the joint density function of coloured balls sampling
Suppose you have a bag with 5 black balls and 3 white balls and are
extracted consecutively without replacement two samples of size 2 and 3.
Let be X the number of black balls extracted of the first sample (2
balls extracted) and Y the number of black black balls extracted on the
second sample (3 balls extracted).
Find the joint density function. (The sum of marginals functions of Y or X given X=x or Y=y respectively must be 1)
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