1. Three dice, 1, 2, and 3, are rolled independently.
• Event A12 is that dice 1 and 2 show the same number.
• Event A13 is that dice 1 and 3 show the same number.
• Event A23 is that dice 2 and 3 show the same number.
(a) Are events A12 and A13 independent?
(b) Are the three events independent?