In a certain Algebra and Trigonometry class, there are 10 male freshmen, 7 female freshmen, 6 male sophomores, and 4 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 10 male freshmen, 7 female freshmen, 6 male sophomores, and 4 female sophomores. Therefore, there are 10 + 7 + 6 + 4 = 27 students in the class.
The probability of selecting a freshman is (10 + 7) / 27 = 17 / 27.
The probability of selecting a female is (7 + 4) / 27 = 11 / 27.
The probability of selecting a freshman or a female is the sum of these two probabilities: 17 / 27 + 11 / 27 = 28 / 27.
However, probabilities cannot be more than 1, so the probability is 1.