11. Suppose A and B are independent events. Show that
(a) The events Ac and Bc are independent. (b) The events A and Bc are independent. (c) The events Ac and B are independent.
12. Suppose A and B are independent events with P(A) = 0.25 and P(B) = 0.55. Determine the probability
(a) At least one event occurs.
(b) Event B occurs but event A does not occur.