If a committee of six students is chosen at random from a group of six boys and four girls, what is the probability that the committee contains the same number of boys and girls? Express your answer as a common fraction.
The total number of students: 10 C6=210.
Boys: 6C3 and Girls: 4C3=4, 20*4=80.'
Thus, the answer is 80/210=8/21.