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.