Of all the students in a certain dormitory, $$\frac{1}{2}$$ are first year students and the rest are second-year students. !f $$\frac{4}{5}$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are· second-year students who have not declared a major?
-
A$$\frac{1}{15}$$
-
B$$\frac{1}{5}$$
-
C$$\frac{4}{15}$$
-
D$$\frac{1}{3}$$
-
E$$\frac{2}{5}$$