In a class of 50 students, 31 are Democrats, 13 are business majors, and 3 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major.

31 + 13 + 3 ≠ 50

What about the remaining 3 students?

13/50 = business major

31/50 = Democrats

Either-or probabilities are found by adding probabilities of individual events.

To find the probability of choosing a Democrat or a business major, you need to consider the number of students who fall into either category and the total number of students in the class.

First, determine the number of students who are Democrats or business majors. To do this, add the number of Democrats and the number of business majors, but subtract the number of students who are both Democrats and business majors.

Number of Democrats or Business Majors = Number of Democrats + Number of Business Majors - Number of Democrats who are also Business Majors

Number of Democrats or Business Majors = 31 + 13 - 3 = 41

Next, calculate the total number of students in the class, which is given as 50.

Now, you have the number of students who are Democrats or business majors (41) and the total number of students in the class (50). To find the probability, divide the number of Democrats or business majors by the total number of students.

Probability of choosing a Democrat or a business major = Number of Democrats or Business Majors / Total number of students

Probability of choosing a Democrat or a business major = 41 / 50

Therefore, the probability of choosing a Democrat or a business major is 0.82 or 82%.