Discrete Probability Distributions in Action

Suppose there are ten employees who are processing claims at the health insurance company. Seven of these employees have fully completed training in the new regulations, whilst three have not. Suppose that three claim comes in today. Consider how you would solve the question of examining "the probability that two of these three claims will be handled by an employee who has not completed training in the new regulations, assuming one person can one handle claim per day." Argue why the problem lacks some key assumptions in terms of using the binomial probability distribution to solve this problem. Is there an alternative probability distribution that would be appropriate?