Please help me with the question below. Really appreciate it if you can solve these with a proper explanation. So that I can understand how to do them. Thank you.

Please note Prob[H] = 5/10; which is "a" equal to 5.

1. Consider 2 independent tosses X, Y of a coin with 4 sides labelled 1, 2, 3, 4 and a = 5; Prob[H] = 5 /10 a/10, if j = 1, (1 - 10) /3, if j = 2, P(X - j) = P(Y = j) = (1 - 10) /3, if j = 3, (1 - 78) /3, if j = 4. Calculate (fully justify your computations): (a) P(Max (X, Y) = 3) (b) P(Max(X, Y) = 4Min(X, Y) = 2) (c) P(Max(X, Y) = 2| Min (X, Y) = 2)