Question

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?

Answer 1

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:
$\frac{145}{224}\times\frac{21}{145}=\frac{3}{32}$
The answer is 3/32.