One of the most effective recruiting techniques to the Virginia Tech Honors program is getting the students to visit the campus before making their decision. According to recent data, 45 % of the potential honors students visit the campus before making their decision. If the student visits, they accept the offer to attend Virginia Tech 95% of the time, but the students that do not visit the campus before making their decision will attend 55 % of the time. Knowing a student will enter the Virginia Tech Honors program, what is the probability that they visited the campus before making their decision? (note: all data is fictional)