Suppose that graduating college students have applied to university, some to two programs to maximize their chances. Suppose that $7/8$ of them were accepted into either a B$.$A$.$ or B$.$Sc$.$ program. Suppose further that $34$ of them were accepted into a B$.$A$.$ program and $14$ of them into a B$.$Sc$.$ program. What proportion of students was accepted only into a B$.$A$.$ program?