In a certain Algebra and Trigonometry class, there are 4 male freshmen, 12 female freshmen, 16 male sophomores, and 2 female sophomores. If a person is selected randomly from the group, find the probability that the selected person is a freshman or female.
There are a total of 4 male freshmen, 12 female freshmen, 16 male sophomores, and 2 female sophomores, for a total of $4+12+16+2=34$ students.
There are 12 female freshmen out of the 34 students, so the probability that the selected person is a female freshman is $\dfrac{12}{34}$.
There are also 16 male sophomores out of the 34 students, so the probability that the selected person is a male sophomore is $\dfrac{16}{34}$.
Therefore, the probability that the selected person is a freshman or female is $\dfrac{12}{34}+\dfrac{16}{34}=\boxed{\dfrac{4}{17}}$.