Q-4: Suppose you and a friend each choose at random an integer between 1 and 8. For example, some possibilities are (3, 7), (7, 3), (4, 4), (8, 1), where your number is written first and your friend's number second. Find the probability that a) you pick 5 and your friend picks 8; b) sum of the two numbers picked is < 4; c) both numbers match; d) the sum of the two numbers is a prime; e) your number is greater than your friend's number.