Do you think I have a chance at getting into these boarding schools?

Hey guys, I am applying to 6 boarding schools for freshman year: Choate Rosemary Hall, Phillips Exeter Academy, St. Paul's School, Deerfield Academy, and Hotchkiss. I got all A-'s except 2 B+'s, have lived in Russia, England, Ukraine, and the U.S. throughout my life, and have played the clarinet for about 5 years along with numerous sports in and outside of school. I got an 85 percentile reading in the SSAT, 96 vocab, and 99 for math. Do you think there's at least a chance I can get in? My mom has been telling me that there's almost no chance after getting my grades soo I want to see if I can still get in.