Question 353779
If I were one of the students and it is certain that I'll be a member of the committee, then 3 more students are needed to be selected from the remaining 25 students.  It can be done in {{{C(25, 3) = 2300}}} ways.  Then 4 parents had to be selected from 37 parents.  This can be done in {{{C(37, 4)=66045}}}.  There are 
{{{C(63, 8) = 3872894697}}} ways of selecting 8 people out of {{{26+37 = 63}}} people.
 The probability is then
{{{2300*66045/3872894697 = 0.03922}}}.