The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random. What is the probability that the committee has 2 boys and 2 girls?
+874 $\frac{\binom{10}{2}}{\binom{20}{2}} \cdot \frac{\binom{10}{2}}{\binom{18}{2}}$
Feel like this is wrong ..
