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 ??. 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. 10% 17% 33% 40%.

Answer 1

The probability of selecting one student who is both from math and science is 1/10

There are the total number of student = 300

Out of which,the number of students who are only in Maths  = 120

The number of students who are only in Science  = 50 and  the students who are not from any subject = 100

What is the formula for the total students?

Total no of students=science student+math students +none

Therefore,the number of student who are from both math and science = Total student - Math student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

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

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

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