Bag $$B_{1}$$ contains 6 white and 4 blue balls, Bag $$B_{2}$$ contains 4 white and 6 blue balls, and Bag $$B_{3}$$ contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the probability, that the ball is drawn from Bag $$B_{2}$$, is :

A

$$\frac{4}{15}$$

B

$$\frac{1}{3}$$

C

$$\frac{2}{5}$$

D

$$\frac{2}{3}$$