Probability- Gravner-11

Question

We have a bag that contains $100$ balls, $50$ of them red and $50$ blue. Select $5$ balls at random. What is the probability that $3$ are blue and $2$ are red?

Comments

$\large \frac{\binom{50}{3} \times \binom{50}{2} }{\binom{100}{5} } = 0.31891$