Consider the events from Exercise 2.4, i.e., at a random meal during a parent weekend in the dining hall, a student notices the food chosen by her father. Let A, B, C be the events that his meal includes Artichokes, Broccoli, or Cauliflower. These events have the property that: P(A) = 0.35; P(B) = 0.39; P(C) = 0.44; P(A  B) = 0.13;P(A C) = 0.12;P(B C) = 0.13.
Find the following conditional probabilities: P(B | C), P(C | B), P{A | B), P(B | A), P(A | C), P(C | A).