Based on student records, 30% of the students at a large high school have a GPA of 3.5 or better, 19% of the students are currently enrolled in at least one AP class, and 16% of the students have a GPA of 3.5 or better and are enrolled in at least one AP class. If we select one student at random, what is the probability that the student has a GPA higher than 3.5 and is not taking any AP classes?