For k = 1, 2,3 the box B k contains k red balls and (k + 1) white balls. Let P ( ~B _ 1…

For k = 1, 2,3 the box B_k contains k red balls and (k + 1) white balls. Let \(\mathrm{P}\left(\mathrm{~B}_{1}\right)=\frac{1}{2}, \mathrm{P}\left(\mathrm{~B}_{2}\right)=\frac{1}{3} \text { and } \mathrm{P}\left(\mathrm{~B}_{3}\right)=\frac{1}{6}\). A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box B₂, is