An urn contains 10 white and 3 black balls. Another urn contains 3 white and 5 black balls. Two balls are drawn from the first urn and put into the second urn and then a ball is drawn from the second urn. Find the probability that it is a white ball.

Question

$\begin{array}{1 1} \large\frac{5}{2} \\ \large\frac{59}{130} \\ \large\frac{10}{9} \\ \large\frac{11}{12} \end{array}$