Consider the experiment of tossing a pair of dice. Let X be the outcome (i.e., the number of dots appearing face up) on the first die and let Y be the outcome on the second die.
a) Find the joint probability distribution p(x,y).
b) Find the marginal probability distribution p1 (x) and p2(y).
c) Find the conditional probability distributions p1(X / Y) and p2 (y/x)
d) Compare the probability distributions of parts b and c, what phenomenom have you observed?