There are three bags each containing 5 white balls and 2 black balls. Also there are 2 bags each containing 1 white ball and 4 black balls. A black ball is drawn at random , the chance that the ball is from the first bag is :

Question

$\begin{array}{1 1} \large\frac{1}{4} \\ \large\frac{3}{5} \\ \large\frac{15}{43} \\ \large\frac{34}{51} \end{array} $