A current study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 has elevated cholesterol levels. If patient is chosen at random, find out the probability that the patient has is the following:
a: an alcoholic with elevated cholesterol level -
b: a non-alcholic
c: a nonalcoholic with non-elevated cholesterol level