A statistical experiment has 11 equally likely outcomes that are denoted by a, b, c, d, e, f, g, h, i, j, and k. Consider three events: A = {b, d, e, j}, B = {a, c, f, j}, and C = {c, g, k}.
a. Are events A and B independent events? What about events A and C?
b. Are events A and B mutually exclusive events? What about A and C? What about B and C?
c. What are the complements of events A, B, and C, respectively, and what are their probabilities?