You apply to 20 graduate programs, 10 of which are in clinical psychology, 5
of which are in counseling, and 5 of which are in social work. You receive a message
from your roommate that you got a letter back from a grad school, but she doesn’t say
which one. Calculate the probabilities that the letter is from:


a. a clinical program

b. a counseling program

c. anything but a social work program