7. Given the following events (assuming two fair six-sided dice): E1 The first die has a odd number E2 The second die has an odd number E3 The sum of the two values is odd Show whether the following events are independent or not: (a) E1 and E2 (b) E2 and E3 (c) E1 and E3 (d) E1 and E2 and E3