18. A social work researcher examined outcomes that provide insight into the relationship
between psychotherapy and type of professional visited by the client – a psychiatrist or a
psychologist. The study results are summarized in the following table of probabilities:
Psychotherapy Type of Professional
Outcome Psychologist Psychiatrist Total
Good .30 .12 .42
Poor .15 .43 .58
Total .45 .55 1.00
(a) What is the probability that a person will have success in psychotherapy?
(b) Given that a person saw a psychiatrist, what is the probability that the
person will have a good psychotherapy outcome?
(c) What is the probability that a person saw a psychologist?
(d) Given that a person has a poor psychotherapy outcome, what is the probability
that s/he saw a psychologist?

