Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.

A glass manufacturer finds that $1$ in every $1000$ glass items produced is warped. Find the probability that $($a$)$ the first warped glass item is the $10$th item produced, $($b$)$ the first warped item is the first, second, or third item produced, and $($c$)$ none of the first $10$ glass items produced are defective.