A college administration has conducted a study of 224 randomly selected students to determine the relationship between satisfaction with academic advisement and academic success. They obtained the following information: Of the 79 students on academic probation, 42 are not satisfied with advisement; however, only 21 of the students not on academic probation are dissatisfied with advisement. What is the probability that a student selected at random is not onis not on academic probation and is not satisfied with advisement?
The probability that a student is not on probation is (224 - 79)/224 = 145/224. The probability that a student who is not on probation is not satisfied with advisement is 21/145. The required probability is therefore given by: [tex]\frac{145}{224}\times\frac{21}{145}=\frac{3}{32}[/tex] The answer is 3/32.
