Do I have a chance?

<p>I am currently a high school sophomore and I was wondering what are my chances of getting into Princeton are.
Academics: Honors Algebra2/Trig., Honors English, Honors Chemistry, AP European History, and Spanish level three, 4.0 GPA
Athletics: Member of Varsity Tennis and Varsity Swimming teams for two years
Extra-Curricular Activities: Member of school orchestra where I play the violin. I have been studying privately for five years. In addition, I also played the piano for ten years. And I competed in music festivals such as, NYSSMA, Area All State, and BCMEA.
Working Experience: Volunteer at local hospital pharmacy(150+ hours completed) and a future research assistant at the Economics Department at SUNY Binghamton. In addition, I will become one of the mentors for the incoming freshman class this fall at VHS.
Summer Camps: Harvard Summer School( Summer 2011) and Summer Institute for the Gifted(Summer 2010).
Future plans for next year:
Planning on taking AP English, AP US History, IB Physics, IB Spanish, Honors Pre-Calculus, and Macro/Microeconomic Theory at Suny Binghamton.</p>

<p>I would really appreciate your feedback!</p>