In each of the following problems, the sample space is S = {1, 2, 3, 4}. From the probabilities of the given events A and B, and the assumption that A and B are independent, find Pr{{1}), Pr({2}), Pr({3}), and Pr({4}).
A = {1, 4}, B = {1, 3}, Pr(A) = 0.8, Pr(B) = 0.3.