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

Options

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`

Answer

B