At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram . The professor informs the class that there will be a test next week . What is the probability that a randomly selected student studied if they do not pass the test with a B or higher ?
0.45 0.46 0.54 0.59