The Bureau of Labor Statistics says that baggage handlers, trash haulers, and coal miners are among the occupations having the highest risk of a debilitating injury or illness. For coal miners working over the course of a year, the injury rate has been reported as 3.6 injuries per 100 coal miners.

For a company that employs 200 coal miners, what is the probability that at least 10 of its workers will experience a debilitating injury or illness over the next year?