Bag B1 contains 6 white and 4 blue balls, Bag B2 contains 4 white and 6 blue balls, and Bag B3 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 B2, is :
1
\(\frac{1}{3}\)
2
\(\frac{4}{15}\)
3
\(\frac{2}{3}\)
4
\(\frac{2}{5}\)