Box 1 has 3 chips numbered 1,2,3. Box 2 has 2 chips numbered 1 and 2. Suppose a chip is randomly selected from box 1 and placed in box 2. Then a chip is randomly selected from box 2. Let X denote the number of the chip selected from box 1 and Y the number of the chip selected from box 2.
a) Find the joint probability mass function of X and Y
b) Find the marginal probability mass function of Y
c) Find P(X=1 I Y=1)