One of the two boxes, box I and box II, was selected at random anda ball was drawn randomly out of this box. The ball was found to be red. If the probability that this red ball was drawn from box II is $$\frac{1}{3},$$ then the correct option(s) with the possible values of $$n_1, n_2, n_3$$ and $$n_4$$ is(are)

A

$$n_1 = 3, n_2 = 3, n_3 = 5, n_4 = 15$$

B

$$n_1 = 3, n_2 = 6, n_3 = 10, n_4 = 50$$

C

$$n_1 = 8, n_2 = 6, n_3 = 5, n_4 = 20$$

D

$$n_1 = 6, n_2 = 12, n_3 = 5, n_4 = 20$$