Dolly,
It does depend on your state, but in most career colleges and most states, our employees are employed "at will." We are different than the public education sector where faculty in particular frequently have teaching contracts and a union to protect them. It is still advisable to make certain that the dismissal is performance based with documentation to show the reason. As I said earlier in the forum, the dismissal should rarely come as a surprise. Working with the employee to improve the performance might prevent the need for the dismissal.
Pat