In a certain Algebra and Trigonometry class, there are 16 male freshmen, 14 female freshmen, 7 male sophomores, and 5 female sophomores.
If a person is selected randomly from
the group, find the probability that the selected person is a freshman or female.
(Type an integer or a simplified fraction.)
To find the probability, we need to calculate the number of favorable outcomes (people who are either freshmen or female) and divide it by the total number of possible outcomes (the total number of people).
The number of favorable outcomes can be calculated by adding the number of female freshmen to the number of male freshmen: 14 + 16 = 30.
The total number of possible outcomes is the sum of all the students: 16 + 14 + 7 + 5 = 42.
Therefore, the probability of selecting a person who is a freshman or female is 30/42, which can be simplified to 5/7.