Quantitative Literacy Practice Exam

For a student randomly selected from a class of 30 students, what is the probability of selecting a student who is not wearing glasses if 6 students wear glasses?

1. 1/5

2. 4/5

3. 1/6

4. 2/3

The correct answer is: 4/5

To determine the probability of selecting a student who is not wearing glasses from a class of 30 students, we start by identifying how many students do wear glasses. In this case, 6 students wear glasses. To find the number of students not wearing glasses, we subtract the number of students who wear glasses from the total number of students: Total students = 30 Students wearing glasses = 6 Students not wearing glasses = 30 - 6 = 24 Now we can calculate the probability of selecting a student who is not wearing glasses. Probability is defined as the number of favorable outcomes divided by the total number of outcomes. In this scenario, the favorable outcome is selecting one of the 24 students who do not wear glasses, while the total outcome is the total number of students, which is 30. Thus, the probability is: Number of students not wearing glasses / Total number of students = 24 / 30 To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 6: 24 ÷ 6 = 4 30 ÷ 6 = 5 This gives us a simplified probability of 4/5. Therefore, the probability of selecting