A student applies to 20 graduate programs, 9 of which are in clinical psychology, 6 of which are in counseling psychology, and 5 of which are in social work. The student gets a message from home that they have a letter from one of the programs they applied to, but nothing is said about which one. Give the probabilities it is from (a) a clinical psychology program, (b) a counseling psychology program, (c) any program other than social work. (d) Explain your answers to someone who has never had a course in statistics. .....

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