Question

In a certain Algebra and Trigonometry class, there are 4 male freshmen, 12 female freshmen, 10 male sophomores, and 11 female sophomores. If a person is selected randomly from the group, find the probability that the selected person is a freshman or female.

Answer 1

To find the probability that the selected person is a freshman or female, we need to calculate the number of people who fit that criteria and divide it by the total number of people in the class.

First, we calculate the number of freshmen or females in the class. There are 12 female freshmen, and since all freshmen are also females, we don't need to count them again. So, the total number of freshmen or females in the class is 12.

Next, we calculate the total number of people in the class, which is the sum of the number of each group. There are 4 male freshmen, 12 female freshmen, 10 male sophomores, and 11 female sophomores, for a total of 4 + 12 + 10 + 11 = 37 people.

Finally, we divide the number of freshmen or females by the total number of people in the class to find the probability:

P(freshman or female) = (Number of freshmen or females) / (Total number of people)
P(freshman or female) = 12 / 37 ≈ 0.324

So, the probability that the selected person is a freshman or female is approximately 0.324.