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?