A ball is drawn at random from box I and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is $$\frac{1}{3},$$ then the correct option(s) with the possible values of $$n_1 and n_2$$ is(are)

A

$$n_1 = 4$$ and $$n_2 = 6$$

B

$$n_1 = 2$$ and $$n_2 = 3$$

C

$$n_1 = 10$$ and $$n_2 = 20$$

D

$$n_1 = 3$$ and $$n_2 = 6$$