Suppose you roll two 6-sided fair dice, d₁ and d2. Define event A as their absolute difference, d₁d2], is odd. And define event B as their absolute difference is ≥ 3. (a) Let X = |d₁-d₂| be the absolute difference of the rolls of two dice. Find the probability mass function of X. (b) Calculate the probabilities of event A and event B. (c) Are event A and event B independent? Why?