Ms. Tenley's class has 25 students. Two of the students have visited no other countries other than the United States. Five of the students have visited at least 1 other country. Ten students have visited 2, four students have visited 3, 3 students have visited 4, and 1 student have visited 5.
12 students are girls, 13 students are boys. Ten boys and 8 girls have visited two or more countries.
If a student from Ms. Tenley's class is chosen at random, what is the probability that the student selected is a boy who had visited fewer than 2 countries outside the United States or a girl who has visited two or more countries outside the United States? Express your answer in a common fraction.