The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers.  If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?

~$\frac{2}{3}$~

~$\frac{1}{3}$~

~$\frac{2}{9}$~

~$\frac{1}{12}$~

~$\frac{1}{24}$~