At University X, all courses meet once a week for 3 hours. At the beginning of the semester, the registrar assigns each course a time slot at random: they pick a random weekday and then flip a fair coin to decide on morning (9am-12pm) vs. afternoon (1pm- 4pm). Students are allowed to have conflicts in their schedules: they can sign up for two (or more) classes scheduled at the same time. So far Axl has signed up for 2 classes that do not conflict. If he chooses a 3rd class at random, what is the probability it will introduce a conflict