Question

Kalani is a researcher interested in studying depression in high school students. She gathers a sample from a local high school consisting of 20 male sophomores, 15 female sophomores, 12 male juniors, and 18 female juniors.

If she selects one student at random, what is the likelihood that that student will be male?

Answer 1

To calculate the likelihood of selecting a male student from the sample, add the total number of male students and divide by the total number of students in the sample, which results in a probability of 32/65.

Step-by-step explanation:

The question asks for the probability of selecting a male student at random from the given sample. To find this probability, we sum up the number of male students and then divide by the total number of students to get the desired probability.

We have 20 male sophomores and 12 male juniors, so there are a total of 20 + 12 = 32 male students. The total number of students is 20 male sophomores + 15 female sophomores + 12 male juniors + 18 female juniors, or 20 + 15 + 12 + 18 = 65 students.

The probability of selecting a male student is then the number of male students divided by the total number of students: Probability of male student = 32/65.