+201 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.
+178 Number of ways for the committee to have 3 boys, 3 girls: \(\binom{6}{3} \cdot \binom{4}{3} = 20 \cdot 4 = 80.\)
Number of total ways: \(\binom{10}{6} = 210\)
So, the answer is \(\frac{8}{21}.\)
