Please be as detailed as possible in the solution (not just the answer) because I'm not doing so well on this question and really need some clarity. Thank you a lot.
Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks. Find
(a) the joint probability distribution of X and Y
(b) P[(X, Y ) ? A], where A is the region given by {(x, y) | x + y ? 2}.