Honestly, I wouldn't put "Event Management" under "Hospitality" anyways. While some parts of it are intertwined - for example working in a hotel where you'd deal with event planners from different organizations on a regular basis - Event Management is more likely under communications, marketing or advertising in your school.
That being said, business management should be a nice, well-rounded degree and you can take that into a variety of fields. A degree in business management would be a big asset if you intent on owning your own business ( event venue or other) because you'll learn a lot of valuable skills that you can apply to your own career.
If you decide to go into business management, I'd recommend doing some volunteer work or internships with a special events agency in your area to get you some exposure and experience.