Question

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below.
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.

A) 10%
B) 17%
C) 33%
D) 40%

Answer 1

The sample space of the problem is 300 while the U' is equal to 100 as given. The given diagram also shows A and B separately so we can determine the part where the two coincides. The equation goes 
120 + 50 + x + 100 = 300x = 30
Hence the probability is 30/ 300 or 10%