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∣F ₂)=3/8, Pr(E∣F3)=1/2, Pr(F1)=1/6, Pr(F ₂)=1/2, and Pr(F3)=1/3.