A statistical experiment has 10 equally likely outcomes that are denoted by 1, 2, 3, 4, 5,

Question:

A statistical experiment has 10 equally likely outcomes that are denoted by 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Let event A = {3, 4, 6, 9} and event B = {1, 2, 5}.
a. Are events A and B mutually exclusive events?
b. Are events A and B independent events?
c. What are the complements of events A and B, respectively, and their probabilities?