Please SOLVE ALL PARTS of the questions IN DETAIL with EXPLANATION

Problem 1 A fair 4sided die (have faces with values 1, 2, 3, 4) is rolled twice and we assume that all sixteen possible outcomes are equally likely. Let X and Y be the result of the lst and the 2nd roll, respectively. Determine the conditional probability P(A\\B), where A = {mar(X, Y) = m}, B = {mm(X,Y) = 2}. and m takes each of the values 1, 2, 3, 4