Let $n_1,\text{and}{n}_2$, be the number of red and black balls, respectively, in box I. Let $n_3\text{and}{n}_4$,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 $\frac{1}{3}$ then the correct option(s) with the possible values of $n_1\text{and}{n}_2$ , is(are)

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