65 men 75 women are enfolled in calculus. There are 30 business majors, 40 biology majors, 50 computer science majors, and 20 mathematics majors. No person has a double. If a single calculus student is chosen, find the probability that that the student is not a mathematics major
since there are 20 math majors in 140 students, there is a 120/140 = 6/7 chance that a calculus student is not a math major.
The men/women info is irrelevant.
To find the probability that the calculus student chosen is not a mathematics major, we need to determine the total number of calculus students and the number of calculus students who are not mathematics majors.
To start, we add up the number of students in each major:
30 business majors + 40 biology majors + 50 computer science majors + 20 mathematics majors = 140 total majors.
Next, we can subtract the number of mathematics majors from the total number of calculus students:
65 men + 75 women - 20 mathematics majors = 120 calculus students.
So, there are 120 calculus students in total.
Now we can calculate the probability of choosing a calculus student who is not a mathematics major by dividing the number of calculus students who are not mathematics majors by the total number of calculus students.
Number of calculus students who are not mathematics majors = Total number of calculus students - Number of mathematics majors
= 120 - 20
= 100.
Therefore, the probability of selecting a calculus student who is not a mathematics major is:
Number of calculus students who are not mathematics majors / Total number of calculus students
= 100 / 120
= 5/6.
Hence, the probability that the calculus student chosen is not a mathematics major is 5/6.