Suppose that E,F₁ ,F₂ , and F₃ are events from a sample space S and that F₁ ,F₂ , and F₃ are pairwise disjoint and their union is S. Find Pr(F₂ ∣E) supposing that we have Pr(E∣F₁ )=2/7, Pr(E∣F₂ )=3/8,Pr(E∣F₃ )=1/2,Pr(F₁ )=1/6,Pr(F₂ )=1/2, and Pr(F₃ )=1/3.
