Find:
P(a sophomore or student that wears glasses)

The probability is 52/83

Step-by-step explanation:

In this question, we are tasked with calculating the probability of having a student who is a sophomore or a student that wears glasses.

To do this, what we do is to first calculate the probability of having a student that is a sophomore, then calculate the probability of having a student wearing glasses. Now, considering the linking word or between the two cases, wherever we have or in probability, we are to add.

Firstly , let’s calculate the number of students we have = 6 + 13 + 5 + 27 + 9 + 23 = 83 students

The total number of sophomores we have is 5 + 27 = 32

Thus, the probability of having a sophomore is 32/83

The second case is that if a student that wears glasses. The total number of student wearing glasses is 6 + 5 + 9 = 20 students

The probability of finding a student wearing glasses is thus 20/83

Now, the probability of finding a student who wears glass or is a sophomore is 20/83 + 32/83 = 52/83

linear pair postulates