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.