As in Section 6.3, Exercise 5, the sample space is S = {0, 1, 2, 3, 4}, Pr({0}) = 0.2, Pr({1}) = 0.3, Pr({2}) = 0.4, Pr({3}) = 0.1, and Pr({4}) = 0.0. Suppose now that A = {1, 2, 3} and B = {2, 3, 4}.
In the above cases, find Pr(A ⋂ B), Pr(A | B), and Pr(B | A).