For high school students graduating in 2015, college admissions to the nation’s most selective schools were the most competitive in memory. Harvard accepted about 5.3% of its applicants, Dartmouth 10%, and Penn 9.9%. Jorge has applied to all three. Assuming that he’s a typical applicant, he figures that his chances of getting into both Harvard and Dartmouth must be about 0.53%. 

a) How has he arrived at this conclusion?
b) What additional assumption is he making?
c) Do you agree with his conclusion?