Question 1071310
There are {{{(matrix(2,1,5,2))=5*4/2=10}}} different
pairs of independent discussion group members
that could happen to be selected to attend the convention.
That number is combinations of 5 taking 2 at a time.
The entire discussion group is made of {{{4+7+5=16}}} members.
From that group, the number of different possible member pairs is
{{{(matrix(2,1,16,2))=16*15/2=120}}} .
That number is combinations of 16 taking 2 at a time.
Since only {{{10}}} of those {{{120}}} pairs have 2 independent members,
the probability of that happening is
{{{10/120=highlight(1/12)}}} .