Let `n_1, and n_2`, be the number of red and black balls, respectively, in box I. Let `n_3 and n_4`,be the number one red and b of red and black balls, respectively, in box II. A ball is drawn at random from box 1 and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is `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`