<p>If you really intend to major in engineering, double check what University of Chicago offers and if it has ABET accredited majors. And if you don’t know what type you should also look into schools that have a wide variety of engineering offerings, which tend to be mid-size and larger schools. As far as your chances? When you are in that tier of schools it’s very hard to predict. They get far more applications from kids who are all well qualified than they can accept. You should try, but also broaden your search as well. </p>