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 distributions p₁(x) and p₂(y).
c. Find the conditional probability distributions p₁ (x Ι y) and p₂ (y Ι x).
d. Compare the probability distributions of parts b and c. What phenomenon have you observed?