In a certain community, the probability of an individual being left-handed is $0.1$. A local school has a class of $30$ students. If the probability of being left-handed applies independently to each student, what is the probability that exactly $3$ of the $30$ students are left-handed?
Use the binomial probability formula: $$P(X=k) = {n ext{ choose } k} imes p^k imes (1-p)^{n-k}$$ where $n$ is the total number of trials, $k$ is the number of successes, and $p$ is the probability of success.