Suppose that you go trick-or-treating () at a house that leaves its candy in a bowloutside the front door. The homeowners stock the bowl with three types of candy -funsize Mars Bars, bags of Skittles, and Reeses Peanut Butter Cups. These homeown-ers are very generous, and have a sign up next to their bowl that each trick-or-treatercan choose three items. When you arrive at this house (dressed as a witch), theinventory is running low, and currently the bowl has 5 Mars Bars, 2 bags of Skittles,and 3 Reeses Peanut Butter Cups. You cant decide what your favourite candy is, soyou decide to just choose your three items at random

LetXbe the number of Mars Bars you get, and letYbe the number of bags of Skittlesyou get.

Write down the joint probability mass function ofXandY,mXY