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 :\\
(1) $\frac { 4 } { 15 }$\\
(2) $\frac { 1 } { 3 }$\\
(3) $\frac { 2 } { 5 }$\\
(4) $\frac { 2 } { 3 }$