Bag B1 contains 4 white and 2 black balls. Bag B2 contains 3 white and 4 black balls. A bag is drawn at random and a ball is chosen at random from it. Then the probability that the ball drawn is white, is

A

$$\frac{3}{14}$$

B

$$\frac{2}{7}$$

C

$$\frac{23}{42}$$

D

$$\frac{23}{41}$$