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 

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The first is 10/20, that is, 50%. The second is 5/20, that is, 25%. The third is 15/20, that is, 75%. Take good cases divided by all cases.

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