Question

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below:
A Venn Diagram titled College Majors with two circles labeled Math and Science. In the math portion is 120. In the intersection is blank. In the Science portion is 50. The area outside the two circles is labeled 100.

If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent.

Answer 1

I see what's going on, we have to find the number of students in the intersection. Math is 120, Science is 50, neither is 100. Add all of these together, 120 + 50 + 100 = 270, then subtract from 300, 300-270 = 30
Now, we divide 30/300 which gives .1, move the decimal over 2 places to the right and that makes it 10%

Answer 2

Answer: $\frac{1}{10}$

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths  = 120

And, The number of students who are only in Science  = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10